Plz help I’ll give brainliest

Plz Help Ill Give Brainliest

Answers

Answer 1

1. y= -5

2. m=0

3. I dont know

1. 3x+4y=-20

x=0

3×0+4y=-20

0+4y=-20

y=-5

2. m=y/x

m=0/1

m= 0

3. Sorry


Related Questions

Alan set his watch 13 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Alan last set his watch if the watch is 35 seconds behind?

Answers

it would be 22 days.

31 additional days, getting behind by 31 seconds; this, added to the original 4 sec behind, gives you a total 35 seconds behind.

 

Now, that really isn't complicated, right?

HELP ME ASAP!!!!!!!!!!!!

See picture attached.

Please friend request me if you get it right.

Thanks xx

Answers

Answer:

Number of cubes = 8 large and 32 small, or 40 total

Step-by-step explanation:

each layer = 2 large and 8 small cuboids.

each layer = 128 cm³

512/128 = 4 layers

so:

4 x 2 = 8 large cuboids

4 x 8 = 32 small cuboids

Solve the system by substitution.
x – 4y = -8
5у – 1 = x
Submit Answer

Answers

Answer:

y = -7 and x = -36

Step-by-step explanation:

x - 4y = -8

5y - 1 = x

→ Substitute 5y - 1 into x - 4y = -8

5y - 1 - 4y = -8

→ Simplify

y - 1 = -8

→ Add 1 to both sides

y = -7

→ Substitute y = -7 into 5y - 1

( 5 × -7 ) - 1 = -36

Answer:

The solution is (-36, -7)

Step-by-step explanation:

Since 5y - 1 = x, we can replace x in the first equation by 5y - 1:

5y - 1 - 4y = -8

Collecting like terms, we get:

y = -7

If y = 7, then by the second equation x = 5(-7) - 1 = -36

The solution is (-36, -7)

A set of data may have more than one mode.
(1 Point)
True
False

Answers

True

I’m not 100% positive but I’m pretty sure

Write the Mayan numeral as a Hindu Arabic numeral 10:03

Answers

The Hindu Arabic numeral for the Mayan numeral is 103.

The given Mayan numeral needs to be converted to Hindu Arabic numeral.

The Hindu Arabic numeral system includes ten digits from 0 to 9. This numeral system is used to represent numbers in almost all the countries in the world.

10:03 in Mayan Numeral System is as shown below:MAYAN_NUMERALS:    10:03 = 10.|. 0. | 3. ||||||. |||..........||||||... ||.......... |||||||||||||||||||||||||||||||10.|.0.|.3.|.    =   103The above given Mayan Numeral system converted to Hindu Arabic Numeral is 103.

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find the corresponding point to the function​

Answers

Answer:

If you begin with the graph for f(x) and then substituted x+3 for x, the effect on the graph will be to move the whole graph 3 units to the left.  

Given that (-9,-1) is on the graph of f(x), and that we are to move the entire graph 3 units to the left, then the coordinate -9 becomes -9-3, or -12:  (-12,-1).

Step-by-step explanation:

20% of x is 40.

x=?

please help!!​

Answers

Answer:

200

Step-by-step explanation:

0.2 * x = 40

40 / 0.2 = 200

On the highway, the gas mileage of Jesse’s motorcy- cle is twice that of his car. If his car gets 28 mpg on the highway, what is the gas mileage of his motor- cycle on the highway?

Answers

Based on the ratios of gas mileage of Jesse's motorcycle to that of his car, 2x and x respectively, we have found out that the gas mileage of Jesse’s motorcycle on the highway is 56 mpg.

To solve the problem of finding out the gas mileage of Jesse’s motorcycle on the highway, it is necessary to use ratios. The first ratio is based on the gas mileage of Jesse’s car on the highway which is 28 mpg, then the ratio for his motorcycle is set as 2x, where x is the mileage per gallon of Jesse’s car, 28.

Therefore, the second ratio is 2x. Then we can equate these ratios in order to solve the problem. This can be done as follows: 2x/28 = y/1, where y represents the gas mileage of Jesse’s motorcycle on the highway.

Solving for y yields the following:

2x/28 = y/1

2x * 1 = 28 * y

2x = 28y

2x/2 = 28y/2

x = 14y

So the gas mileage of Jesse’s motorcycle on the highway is 14 times the mileage of his car. Therefore, to find out the gas mileage of his motorcycle on the highway, we need to multiply 28 by 2 and then divide the result by 1 which is equal to 56. Therefore, the gas mileage of Jesse’s motorcycle on the highway is 56 mpg.

In conclusion, based on the ratios of gas mileage of Jesse's motorcycle to that of his car, 2x and x respectively, we have found out that the gas mileage of Jesse’s motorcycle on the highway is 56 mpg. This has been calculated using the equation 2x/28 = y/1, where y is the gas mileage of Jesse’s motorcycle on the highway.

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x 2 3 4 5 6 7 y 3.4 -1.7 -3 -4.3 -10.9 -13.9 select one: a. y = 3.46x 3.4 b. y = 9.77x - 3.30 c. y = -3.30x 9.77 d. y = 3.46x 9.77

Answers

The relationship between the variables x and y, based on the given data points, can be represented by the equation y = -3.30x + 9.77.

This linear equation captures the trend observed in the data, providing a mathematical expression to estimate the value of y corresponding to a given x. By performing linear regression on the provided data points, the equation y = -3.30x + 9.77 is derived. This equation represents a linear relationship between x and y, where the coefficient of x is -3.30, indicating that as x increases, y decreases at a rate of 3.30 units.

The constant term 9.77 represents the y-intercept, which is the value of y when x is 0. This equation serves as a model to estimate the value of y for any given x within the observed range. It provides a straightforward and concise representation of the relationship between the variables based on the given data.

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Serena and Visala had a combined total of $180. Serena then gave Visala $20, and then Visala gave
Serena a quarter of the money Visala had. After this, they each had the same amount. How much
money did Serena start with?

Answers

Serena started with approximately $173.33 money.

Let's denote the initial amount of money Serena had as S and the initial amount of money Visala had as V.

According to the problem, their combined total was $180, so we have the equation S + V = 180.

After Serena gave Visala $20, Serena's remaining amount became S - 20, and Visala's amount became V + 20.

Visala then gave Serena a quarter of the money she had, which is (V + 20)/4. After this transaction, Serena's total amount became S - 20 + (V + 20)/4, and Visala's total amount became V + 20 - (V + 20)/4.

It is given that after these transactions, they each had the same amount. Therefore, we can set up the equation:

S - 20 + (V + 20)/4 = V + 20 - (V + 20)/4.

Let's simplify and solve for S:

4S - 80 + V + 20 = 4V + 80 - V - 20.

Combining like terms:

4S + V = 3V + 160.

Substituting the value of S + V = 180 from the first equation:

4S + V = 3(180) + 160,

4S + V = 540 + 160,

4S + V = 700.

Now, we have two equations:

S + V = 180,

4S + V = 700.

Subtracting the first equation from the second equation:

4S + V - (S + V) = 700 - 180,

3S = 520,

S = 520/3 ≈ 173.33.

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what is a profit margin​

Answers

A profit margin is the amount of money when you subtract how much money you have made from your product and them subtract how much it took to make the products and your answer would be the profit margin. For example: if I made 50 dollars selling my product, and I made 5 products which costs me one dollar each, to make those five products it would take me 5 dollars so 50-5 equals 45 so my profit margin is 45 dollars, so technically I made 45 dollars.

i need help with this questionnnn

Answers

I am going to say 3
The answer is 1.7 ! :D

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

3 times greater

Step-by-step explanation:

6.7 x 10 to the 6 = 6700000

2x 10 to the 7 = 20000000

20000000/6700000 = 2.98507462687

Rounded - 3


1. Consider a damped spring-mass system with m = 1kg, = 2
kg/s^2 and c = 3 kg/s. Find the general solution. And solve the
initial value problem if y(0) = 1 and y′(0) = 0.

Answers

The general solution of the damped spring-mass system with the given parameters is y(t) = e^(-t/2) [c1cos((√7/2)t) + c2sin((√7/2)t)]. By applying the initial conditions y(0) = 1 and y'(0) = 0, the specific solution can be obtained as y(t) = (2/7)e^(-t/2)cos((√7/2)t) + (3/7)e^(-t/2)sin((√7/2)t).

The equation for the damped spring-mass system can be expressed as my'' + cy' + ky = 0, where m is the mass, c is the damping coefficient, and k is the spring constant. In this case, m = 1 kg, c = 3 kg/s, and k = 2 kg/[tex]s^2[/tex].

To find the general solution, we assume a solution of the form y(t) = e^(rt). By substituting this into the equation and solving for r, we get [tex]r^2[/tex] + 3r + 2 = 0. Solving this quadratic equation gives us the roots r1 = -2 and r2 = -1.

The general solution is then given by y(t) = c1e^(-2t) + c2e^(-t). However, since we have a damped system, the general solution can be rewritten as y(t) = e^(-t/2) [c1cos((√7/2)t) + c2sin((√7/2)t)], where √7/2 = √(3/4).

By applying the initial conditions y(0) = 1 and y'(0) = 0, we can solve for the coefficients c1 and c2. The specific solution is obtained as y(t) = (2/7)e^(-t/2)cos((√7/2)t) + (3/7)e^(-t/2)sin((√7/2)t). This satisfies the given initial value problem.

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Explain how g is 62 degrees using angle theorem. Ex supplementary angle theorem, ASTT. Etc

Answers

Answer:

The exterior angle is 35° + 62° = 97°

And 97° > 35°

And 97° > 62°

Step-by-step explanation:

Answer:

pppop-

That’s what u get

Step-by-step explanation:

The compound interest on $4,000 saved for 3 years at an interest rate of 15%.

Answers

A = $5,800.00

I = A - P = $1,800.00

hey!

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 15%/100 = 0.15 per year.

Solving our equation:

A = 4000(1 + (0.15 × 3)) = 5800

A = $5,800.00

The total amount accrued, principal plus interest, from simple interest on a principal of $4,000.00 at a rate of 15% per year for 3 years is $5,800.00.

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The point P is on the unit circle. Find P(x, y) from the given information.
The x-coordinate of P is positive, and the y-coordinate of P is
-(square root 10)/10.

Answers

The coordinates satisfy the equation x^2 + y^2 = 1. In this specific problem, we found that P(x, y) = (3 * sqrt(10)) / 10 , - (sqrt(10)) / 10.

To solve this problem, we need to recall some basic trigonometry concepts related to the unit circle. The unit circle is a circle of radius 1 centered at the origin of a coordinate plane. Any point on the unit circle can be represented by its coordinates (x, y), where x and y are the horizontal and vertical distances from the origin, respectively.

Since the given problem tells us that the x-coordinate of P is positive, we know that x > 0. Additionally, we are given that the y-coordinate of P is -(square root 10)/10. We can use this information to solve for x.

From the Pythagorean theorem, we know that for any point (x, y) on the unit circle, x^2 + y^2 = 1. Substituting y = -(square root 10)/10, we get:

x^2 + ((-sqrt(10))/10)^2 = 1

Simplifying this expression, we get:

x^2 + 10/100 = 1

x^2 = 90/100

x = sqrt(90)/10

Since we know that x is positive, we can simplify this expression further by factoring out a square root:

x = (sqrt(9) * sqrt(10)) / 10

x = (3 * sqrt(10)) / 10

Therefore, the coordinates of point P are:

P(x, y) = (3 * sqrt(10)) / 10 , - (sqrt(10)) / 10

We can check our answer by verifying that these coordinates satisfy the equation x^2 + y^2 = 1:

(3 * sqrt(10) / 10)^2 + (-sqrt(10) / 10)^2 = 9/100 + 10/100 = 1/10

Simplifying this expression, we get:

1/10 = 1/10

This confirms that our answer is correct and that P lies on the unit circle.

In summary, to find the coordinates of a point P on the unit circle given its y-coordinate and the fact that its x-coordinate is positive, we can use the Pythagorean theorem to solve for the x-coordinate. We then check our answer by verifying that the coordinates satisfy the equation x^2 + y^2 = 1. In this specific problem, we found that P(x, y) = (3 * sqrt(10)) / 10 , - (sqrt(10)) / 10.

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Can somebody help me

Answers

Answer:

25

Step-by-step explanation:

If it has 25 miles across from the 1 hour it means that it goes 25 miles per hour.

Find the area of the shaded region.

Answers

Answer:

area = 3.44 in²

Step-by-step explanation:

area of square = 4 x 4 = 16 cm²

area of circle = (3.14)(2²) = 12.56 cm²

area = 16 - 12.56 = 3.44 in²

The number of watermelons in a truck are all weighed on a scale. The scale rounds the weight of every watermelon to the nearest pound. The number of pounds read off the scale for each watermelon is called its measured weight. The domain for each of the following relations below is the set of watermelons on the truck. For each relation, indicate whether the relation is reflexive, anti reflexive, or neither
symmetric, anti symmetric, or neither
transitive or not transitive
justify your answer
a) watermelon x is related to watermelon y if the measured weight of watermelon x is at least the measured weight of watermelon y. No two watermelons have the same measured weight. b) watermelon x is related to watermelon y if the measured weight of watermelon x is at least the measured weight of watermelon y. All watermelons have exactly the same measured weight

Answers

a) The relation is reflexive, symmetric, and transitive.

b) The relation is not reflexive, symmetric, or transitive.

a) For each watermelon x, x is related to x because the measured weight of x is at least the measured weight of x. Therefore, the relation is reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is also related to x (meaning the measured weight of y is at least the measured weight of x). Therefore, the relation is symmetric.

For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is related to z (meaning the measured weight of x is at least the measured weight of z). Therefore, the relation is transitive.

b) For each watermelon x, x is not related to x because no two watermelons have the same measured weight. Therefore, the relation is not reflexive.

For each watermelon x and y, if x is related to y (meaning the measured weight of x is at least the measured weight of y), then y is not related to x (meaning the measured weight of y is not at least the measured weight of x).

Therefore, the relation is not symmetric. For each watermelon x, y, and z, if x is related to y (meaning the measured weight of x is at least the measured weight of y) and y is related to z (meaning the measured weight of y is at least the measured weight of z), then x is not related to z (meaning the measured weight of x is not at least the measured weight of z).

Therefore, the relation is not transitive.

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Victoria earns a gross annual income of $124,482 and is buying a home for $225,500. She is making a 20% down payment and financing the rest with a 30-year loan at 4.5% interest.

(a) What is the mortgage amount she will borrow?

(b) Can she afford this mortgage?

(c) What will her monthly mortgage payment be?

(d) What will her total payment for the house be?

(e) What is the amount of interest she will pay?

Answers

Answer:

(a) The mortgage amount she will borrow is $180,400

(b) Yes she can

(c) Her monthly payment will be approximately $914.06

(d) Her total repayment is approximately $329,061.6

(e) The amount of interest is approximately $148,661.6

Step-by-step explanation:

The details of the transactions are;

The gross annual income Victoria earns = $124,482

The cost price of the home she is buying, C = $225,500

The amount she is making as down payment = 20%

The duration the loan she id financing the rest with, t = 30-years

The interest rate on the loan, r = 4.5%

(a) The mortgage amount she will borrow, 'P', is the cost of the home less the down payment

The down payment = 20% of the cost of the home

∴ The down payment = (20/100) × $225,500 = $45,100

∴ P = $225,500 - $45,100 = $180,400

The mortgage amount she will borrow, P = $180,400

(b) Using the 2× to 2.5× gross income rule, we have;

2 × her annual income = 2 × 124,482 = 248,964

∴ 2 × her annual income > The mortgage = 180,400

She can afford the mortgage

(c) The monthly fixed payment for the mortgage is given as follows;

   [tex]M = P \times \dfrac{r}{n} \times \dfrac{\left(1+ \dfrac{r}{n} \right)^{n \cdot t}}{\left[\left(1 + \dfrac{r}{n} \right)^{n\cdot t} - 1\right]}[/tex]

Where;

n = The number of periods per year = 12 monthly periods per year

180,400*0.045*(1 + 0.045)^(30)/((1 + 0.045)^(30) - 1)

[tex]M = 180,400 \times \dfrac{0.045 }{12} \times \dfrac{\left(1+\dfrac{0.045 }{12}\right)^{30 \times 12}}{\left[\left(1 + \dfrac{0.045 }{12}\right)^{30 \times 12} - 1\right]} \approx 914.060298926[/tex]

Her monthly payment will be M ≈ $914.06

(d) The total repayment is given as follows;

n × t × M

∴ 12 × 30 × 914.06 = 329061.6

The total payment for the house = $329,061.6

(e) The amount of interest = The total payment - The principal loan amount

∴ The amount of interest = $329061.6 - $180,400 = $148,661.6

Maria needs 0.7 meters of fabric to make a flag. How many flags can she make from 7.42 meters of fabric?

Answers

Answer:

10 flags

Step-by-step explanation:

7.42/0.7

Round down since you cant "round up" when talking about physical objects.

Answer:

10 Flags

Step-by-step explanation:

please whats the answer?

Answers

Answer:

=93

Step-by-step explanation:

[tex]7 \frac{5}{6} + 5 \frac{1}{9} [/tex]Then mutiply 6 x7 with will give you 42 then add 5 which will equal =47


HELPPP!!
Find the value of x in the parallelogram!

Answers

Answer:

x = 17

Step-by-step explanation:

Area of a parallelogram:

A = bh

Given:

A = 153

b = 9

Work:

A = bh

h = A/b

h = 153/9

h = 17

he manager of a book store believes that 33% of the store's customers have read at least one book from the Henry Pottar series. A simple random sample of 100 customers was selected. Using the manager's belief, determine:

1. The standard error for the sampling distribution of proportion. (4 decimal places)

2. The probability that between 26% and 35% of the customers have read at least one book from the Henry Pottar series . (4 decimal places)

Answers

1. The standard error for the sampling distribution of proportion is approximately 0.0478.

The standard error for the sampling distribution of proportion can be calculated using the formula:

SE = sqrt((p * (1 - p)) / n)

where p is the population proportion and n is the sample size. In this case, p = 0.33 and n = 100.

Plugging in the values, we have:

SE = sqrt((0.33 * (1 - 0.33)) / 100) ≈ 0.0478

Therefore, the standard error for the sampling distribution of proportion is approximately 0.0478.

2. The probability that between 26% and 35% of the customers have read at least one book from the Henry Potter series is approximately 0.7789.

To calculate the probability, we need to find the z-scores corresponding to the percentages 26% and 35% and then find the area between these two z-scores under the standard normal distribution curve.

First, we calculate the z-scores using the formula:

z = (x - p) / sqrt((p * (1 - p)) / n)

where x is the given percentage, p is the population proportion, and n is the sample size.

For x = 26%:

z = (0.26 - 0.33) / sqrt((0.33 * (1 - 0.33)) / 100) ≈ -1.232

For x = 35%:

z = (0.35 - 0.33) / sqrt((0.33 * (1 - 0.33)) / 100) ≈ 0.522

Using a standard normal distribution table or calculator, we can find the area between -1.232 and 0.522, which is the probability that between 26% and 35% of the customers have read at least one book from the Henry Potter series. The approximate probability is 0.7789.

Therefore, the probability that between 26% and 35% of the customers have read at least one book from the Henry Potter series is approximately 0.7789.

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Change die exponential statement to an equivalent statement involving a logarithm. 9 = 3^2 The equivalent logarithmic statement is. (Type an equation.)

Answers

The equivalent logarithmic statement is log base 3 of 9 = 2 for the equation 9 = 3².

To convert the exponential statement 9 = 3² into an equivalent logarithmic statement, we can use the logarithm with base 3.

Step 1: Identify the base and exponent in the exponential statement.

In our case, the base is 3 and the exponent is 2.

Step 2: Write the equivalent logarithmic statement.

Using the base 3 logarithm, we have:

log₃(9) = 2

This logarithmic statement can be read as "the logarithm base 3 of 9 is equal to 2."

The logarithm function gives us the exponent or power that the base needs to be raised to in order to obtain the given number. In this case, log₃(9) tells us that 3 raised to the power of 2 equals 9.

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What is the measure of the other acute angle? Pls explain how you got your answer

Answers

Answer:

30 degrees

all triangles equal 180 degrees

90+60=150

180-150=30

Step-by-step explanation:

Explain what you think 5 x ⅙ means.

Answers

Answer:

5/6?

Step-by-step explanation:

SALE
80% OFF!
What is the sale price of a basketball jersey originally priced at $40?

Answers

Answer:

20

Step-by-step explanation:

Evaluate the expression 6 + 5 × 32 - 8.

43
11
6
91

Answers

Answer:

158

Step-by-step explanation:

All i know is that these answer choices cannot be found in the calculator

Answer:

158.....

PEMDAS

you multiply first 6+160-8

then you add or subtract

158

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Is the equation cosine theta - sine theta =1 an identity? Explain Convert (a) 50 oF, (b) 80 oF, (c) 95 oF to Celsius Can someone help me with this problem Select four risk factors for developing dementia.genetic tendencyhigh blood pressurecarpal tunnel syndromehyperactivityO obesitystressnearsightedness The benefit of establishing a company over other forms of ownership I dont understand help me Whats the answer for 7/9 - 4/9 in fraction in number Required information [The following information applies to the questions displayed below.] Bacon Inc. has the following stockholders' equity section in its May 31, 2019, comparative balance sheets: May 31, 2019 Paid-in capital: Preferred stock, $120 par value, 9%, cumulative, 200,000 shares authorized, 140,000 shares issued and outstanding Common stock, $5 par value, 1,000,000 shares authorized, 600,000 and 1 540,000 shares issued, respectively Additional paid-in capital Retained earnings Less: Treasury common stock, at cost; 72,000 shares and 68,000 shares, respectively Total stockholders' equity $16,800,000 ? 26,100,000 36,200,000 (4,412,000) ? April 30, 2019 $16,800,000 2,700,000 23,220,000 34,640,000 (4,148,000) $73,212,000 e-2. Assume that on June 1 the board of directors declared a cash dividend of $0.60 per share on the outstanding shares of common stock. The dividend will be payable on July 15 to stockholders of record on June 15. Identify the impact this action will have on the June 30 balance sheet and on the income statement for June. (Select all that apply.) -2. Assume that on June 1 the board of directors declared a cash dividend of $0.60 per share on the outstanding shares of common stock. The divid will be payable on July 15 to stockholders of record on June 15. Identify the impact this action will have on the June 30 balance sheet and on the inco -tatement for June. (Select all that apply.) Check All That Apply The June 30, 2019, balance sheet will reflect a reduction in retained earnings and an increase in dividends payable for the same amount. The June 30, 2019, balance sheet will reflect a reduction in dividends payable and an increase in retained earnings for the same amount. Dividends declared have no effect on the income statement. Dividends declared will result in a reduction of net profit. 2(3x + 5) - 4(x - 1)Simplified form 6n-18n-18=6 slove by factoring question which of the following statements about the markets of trajan is incorrect? responses it was a structure containing stores and businesses. it was a structure containing stores and businesses. the project was completed in 112 ad. the project was completed in 112 ad. the architect was apollodorus of damascus. the architect was apollodorus of damascus. the structure was shaped like a pyramid in honor of the pharaoh khufu. how does each law affect the principle of democracy? A company with annual sales of $24,000,000 is considering changing its payment terms from net 40 to net 30 to encourage customers to pay more promptly. The company forecasts that customers would respond by paying on day 34 rather than day 44 as at present (assume a 360 day year) but would decrease their purchases by $450,000 per year. The company also forecasts that its idle cash balance would decrease by $40,000 and administrative costs would be reduced by $35,000 per year. The company's variable costs average 66% of sales, it is in the 35% marginal tax bracket, and it has an 9% cost of capital. Required: A. Calculate the incremental cash flows associated with accepting this proposal, and organize your cash flows into a cash flow spreadsheet of the type demonstrated in chapter 12 of the textbook. a B. Calculate the proposal's Net Present Value. C. Calculate the proposal's Internal Rate of Return. D. Calculate the proposal's Net Annual Benefit. E. Explain whether the firm should shorten its payment terms or not. A Time Zero Amount Change in A/R balance Profit on change in balance Other W/C change Total 709,167 222,417 (40,000) 891,583 Years 1 through infinity Admin costs 35,000 Bad debt changes Contribution margin (153,000) Discounts Tax on above 65,800 Total cash flow (52,200) Detailed support for above numbers: Daily sales Average age of A/R (days) Variable cost % Old investment in A/R 66,667 44 66% 2,933,333 65,417 34 New daily sales Average age of A/R (days) Variable cost % New investment in A/R 66% 2,224,167 Net decrease in A/R balance 709.167 New daily sales Change in average age of A/R (days) Contribution margin % Change in A/R based on profit portion 65,417 10 34% 222,417 Other W/C change (given in problem) 40,000 Change in administrative costs (given in problem) 35,000 450,000 Decrease in sales Contribution margin % Net decrease in contribution margin 34% 153,000 Change in admin costs (from above) Change in contribution margin (from above Net taxable change Tax rate Net change in taxes 35,000 153,000 188,000 35% 65,800 B Present value of cash inflows Present value of cash outflows Net present value 947,141 177,064 770,076 C Annual cash outflow Investment in A/R Internal rate of return 891,583 (2,224,167) 149.46% D Allowed annual cost Actual annual cost Net annual benefit 15,840,000 15,508,000 332,000 Mini case #1 - Retirement PlanningThis assignment is to be completed in Excel. When completed, submit the exercise by the due date in Blackboard (BB) and Attach a copy of the excel spreadsheet.Case Narrative:Jim Nasium is age 50 and plans to retire in 20 years (at age 70). He has retirement savings in a mutual fund account, which has a current balance of $10,000 (Jim does not plan to add any additional money to this account). Also, Jim opened a 401K retirement account with his new employer and will contribute $15,000 per year into his 401K until retirement. If Jim's mutual fund account grows at an annual rate of 5.0% how much money will Jim have in his mutual fund account at age 70? (6 points) If Jim's 401K account grows at an annual rate of 5.0% per year, how much money will Jim have in his 401K account at age 70? (6 points) What is the total investment balance of Jim's retirement account at the age of 70? (6 points) At retirement, Jim plans take the investment balance from his mutual fund account and the balance from his 401K account and combine them into an IRA account. To minimize risk, his IRA account will invest in more conservative securities. As a result, Jim anticipates his annual IRA returns to be about 4.0% during retirement. While in retirement, Jim plans to withdraw $40,000 per year from his IRA account over the next 20 years. Is this possible? Explain why or why not? (6 points) If all 4 questions answered correctly (1 point) The ways in which various civilizations developed were very different.TrueFalse Draw the pipeline diagram (on the next page) for the following programs. Please note whether itis a multi cycle CPU or a single cycle CPUProgram 1Given a Single Cycle CPU where each stage is fixed at 200 ps (a 1000ps clock cycle), draw the pipeline diagram for the program below datanum: .word 12 .textla $s0, numlw $t0, 0($s0)addi $t1, $t0, 3Program 2Given a Multi Cycle CPU where each stage is fixed at 200 ps (a 1000ps clock cycle), draw thepipeline diagram for the program below datanum: .word 12.textla $s0, numlw $t0, 0($s0)addi $t1, $t0, 31. What is the total length of time to run Program 1?2. What is the total length of time to run Program 2?3. What hazards, if any, exist in Program 1?4. What hazards, if any, exist in Program 2? How did religion play a role in establishing the realms borders for South Asia? Show me the work to 4x-423. The answer is already shown. (Geometry ) Which of the following is a characteristic of a flexible employee?A.turns down a promotion to stay in the same locationB.prefers working at one specific taskC.receives suggestions with an open mindD.puts in eight hours a day -- no more, no less Select the correct answer from each drop-down menu.Consider the equation below.x^3 - 3x^2 - 4 = 1/x-1 +5The solutions to the equation are approximately x =0.91 and x= *blank*