Henry is saving money for college. He earns $210 each week working part time after school and the weekends. Henry currently has $2,240 in savings. His parents put $100 in his savings account each week and he saves one-third of his paycheck each week. Which expression represents the situation? (n represents the number of weeks) A) 2,240 + 170n B) 2,240 + 310n C) 2,240 + 210n + 100n/ 3 D) 2,240 + 210n + 100n/ 3

The answer is -16

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Answer: y = 4x - 16

Step-by-step explanation:

Using the point slope formula to plug in your point and slope, I found

y - 4 = 4 (x - 5)

After simplifying it into an equation of the line I got  y = 4x - 16

Answer:

b is the correct answer

Step-by-step explanation:

Answer:

180000

Step-by-step explanation:

30600/17=1800

1800•100=180000

Answer:

$180,000

Step-by-step explanation:

First you have to change 17% into a decimal which would be 0.17 which makes it easier to work with.

If we put this into an equation we know some value of x is the original price of the house and 0.17 (17%) of this unknown x is 30600.

Therefore: x * 0.17 = 30600

We divide 0.17 on both sides to cancel it on the left and get x by itself.

Now x = 30600/0.17

We get x = $180,000

Therefore, the original price of the home was $180,000.

Step-by-step explanation:

Length of rectangle is 140 m and its breadth is 100 m

Perimeter = sum of all sides

For rectangle, P = 2(l+b)

P = 2(140+100)

P = 480 m

Area = length × breadth

For a rectangle, A = lb

A = 140 × 100

A = 14000 m²

We need to write the length and breadth such that it has the same perimeter but a larger area.

Let the length is 110 m and breadth is 130 m.

Perimeter, P = 2(110+130)

P = 480 m

Perimeter is same as previous

Area, A = 110 × 130

A =  14300 m²

Area is more than the initial area.

Hence, this is the required solution.

answer:

it's [tex]\boxed{L=130, \W=110}[/tex]

explanation:

[tex]\boxed{L=140}\\\boxed{W=100}\\P=2(L+W)\\P=2(140+100)\\\boxed{P=480m}\\A=L*W\\A=140*100\\\boxed{A=14000m^{2}}[/tex]

It's easy to get a Length and Width with an equal Perimeter as this rectangle, how? the key is in the Perimeter formula for rectangle, it is literally 2 times the sum of the Length and Width, so [tex]2(L+W)=2(sum)[/tex], that means we can change the value of both the Width and the Length as long as the sum of both the Length and the Width is equal;

[tex]\boxed{L=140}\\\boxed{W=100}\\L+W=140+100=\boxed{240}[/tex]

to change these values and still have a perimeter equal to 480 meters, and an area larger than 14,000 meters square, we gotta have a length and a width that have a sum of 240 and still maintain a hundred place value, for example 130 and 110, not 150 and 90, because [tex]150*90=13500[/tex] which is less than our goal; while [tex]130*110=14300[/tex], note that as long as one of the values doesn't fall below 100 you're solid.

Answer:

The answer will be the fixed rental for the book

Step-by-step explanation:

pretty sure its E

just substitute x and z for a and c

hope it helps

Answer:

it will be 147

Step-by-step explanation:

12x12=144

Hi There!!

Well, Some sort your answer suppose to be 149.

Because,  [tex]12[/tex] [tex]x[/tex] [tex]12[/tex] ≈ 144 ⁺ 9 ≈ 153 - 4 ≈ 149

But, I guess your answer is B). 137.....

Hope This Helps!!~

[tex]Itsbrazts[/tex]

Answer:

-25

Step-by-step explanation:

3(1−7)−7

Answer:

y ^22  x ^16

hope this helps

f(5x+4) = 25x^2 - 15x - 28 is your answer

Answer:

50⁰

Step-by-step explanation:

Add 130 plus 50 to get 180.

Answer:

x = 50°

Step-by-step explanation:

In a parallelogram consecutive angles are supplementary, thus

∠ BAC + ∠ ABD = 180°, that is

130° + ∠ ABD = 180° ( subtract 130° from both sides )

∠ ABD = 50°

Since ACDB and FGHE are congruent then corresponding angles are congruent, thus

∠ FEH = ∠ ABD = 50° =x

Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

Answer:

b = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

[tex]\frac{7b}{7} = \frac{-21}{7}[/tex]

b= -3

Answer:

b=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6b+14=−7−b

6b+14=−7+−b

6b+14=−b−7

Step 2: Add b to both sides.

6b+14+b=−b−7+b

7b+14=−7

Step 3: Subtract 14 from both sides.

7b+14−14=−7−14

7b=−21

Step 4: Divide both sides by 7.

7b

7

=

−21

7

b=−3

Answer:B .17

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Edg

Answer:

the second one I believe as they have the same shape and size

Answer:

oop

Step-by-step explanation:

Answer:

y=-x+2

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

From the graph, we can see that the y-intercept is at (0,2) so the equation becomes y=mx+2.

Other points on the graph include (1,1) and (2,0). Plugging (1,1) into the slope-intercept equation, we get 1=(m)1+2. Solving this will give us m=-1.

We can confirm this by plugging m=-1 into the equation along with the point (2,0); 0=(-1*2)+2. It checks out!

So our final equation in slope-intercept form will be y=-x+2

Answer: Think it is y=2x+2

Step-by-step explanation: because whats your y intercept it is on the two. Whats your x intercept it is also on the a 2.

This is a arithmetic sequence, so all we need to do is subtract the numbers and find the common difference.

40 - 24 = 16

56 - 40 = 16

72 - 56 = 16

Therefore, the common difference is 16.

Best of Luck!

Answer:

It is minus 16

Step-by-step explanation:

72-56= 16

56-40= 16

40-24= 16

-16 is the pattern

Answer:

[tex]2.5 \times 10^{-5}[/tex]

Answer: C and D

Step-by-step explanation:

20% is equal to 0.2. And if we're adding from the previous day it's 1 whole + 0.2, which is 1.2. Times the variable.

And 1/5 is equal to 0.2. So its the variable and 20% added again.

Answer:

Step-by-step explanation:

I’m not too good with this but the answer should be 87.5

Answer:

82 degrees.

Step-by-step explanation:

Hope this helps!

Answer:

9 and 5.

Step-by-step explanation:

So we have the expression:

[tex]9+5+7x^2+3x^2y+2x^2[/tex]

In order to combine like terms, the variables must be exactly the same: not one less, not one more.

3x²y and 2x² cannot be combined because the first value has a y.

7x², 3x²y, and 2x² also cannot be combined because the second value has a y.

9 and 5 is the only one that can be combined because they are just integers. They can be added to be 14.

2, 3, 5, and 9 cannot be combined because the 2 and the 3 are tied to the variables as coefficients. They are not constants.

To combine like terms, we can combine numbers with the same power and variables.

We are given the equation: 9 + 5 + 7x^2 + 3x^2y + 2x^2

We can combine 9 and 5 because they are whole numbers by themselves.

We can combine 7x^2 and 2x^2 because they are whole numbers that both have a variable (x) and the same power.

We can't combine anything to 3x^2y because no other number has these features.

Best of Luck!

Answer:

[tex]New\ Lengths = (14,21)[/tex]

[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]

Step-by-step explanation:

Given

Rectangle:

Length = 2 in

Width = 3 in

Scale Factor = 7

Solving (a):

The side lengths of the new scale is calculated as follows;

New Lengths = Old Lengths * Scale Factor

[tex]New\ Lengths = (2,3) * 7[/tex]

[tex]New\ Lengths = (2 * 7,3* 7)[/tex]

[tex]New\ Lengths = (14,21)[/tex]

Solving (b): To go back to the original length

Given that the initial scale factor is 7;

The new scale factor is the reciprocal of the old factor;

Hence;

[tex]New\ Scale\ Factor = \frac{1}{7}[/tex]

Answer:

65.41

Step-by-step explanation:

65.3 cm³ is the amount of water filled in the balloon.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters.

We need to find how much water does the balloon contain

It means we need to find the volume of the sphere with diameter 5 centimeters.

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

Volume of Sphere=4/3πr³

As diameter is 5

Radius=Diameter/2=5/2=2.5 cm

Volume=4/3×3.14×(2.5)³

=1.33×3.14×15.625

=65.25

=65.3

Hence, 65.3 cm³ is the amount of water filled in the balloon.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Answer:

8 years old maybe.

Step-by-step explanation:

4 points appear-

12 lines appear..?

1 plane appears

4 collinear points.

There's 2 non-coplanar points??

4 intersections??

I hope this helped. I could be wrong, but that's how I solved it mentally.

Answer:

a. x = ½, and x = -1

Step-by-step explanation:

Given the equation, 7|12x + 3| - 1 = 62, solve as follows:

Add 1 to each side of the equation

7|12x + 3| = 62 + 1

7|12x + 3| = 63

Remove the absolute value to create ± on the right side of the equation

7(12x + 3) = ±63

Solve the positive portion of the solution

7(12x + 3) = 63

84x + 21 = 63

Subtract 21 from both sides

84x = 63 - 21

84x = 42

Divide both sides by 84

x = 42/84

x = ½

Solve the negative portion of the solution

7(12x + 3) = -63

84x + 21 = -63

Subtract 21 from each side of the equation

84x = -63 - 21

84x = -84

Divide both sides by 84

x = -84/84

x = -1

The answer is: x = ½, and x = -1

Answer:

sorry i cant see i need a better pictureStep-by-step explanation:

Answer:

3x=96

Step-by-step explanation:

From the information given, you can write the following:

a+x=96 (1)

a=2x (2)

where a is the number of CDs that Sue has and x is the number of CDs that Gwen has.

You can replace 2 in 1 and you would have the following:

2x+x=96

3x=96

From this, you can isolate x to find its value:

x=96/3

x=32

According to this, the equation that could be used to find the number of CDs, x, that Gwen has is: 3x=96.

Answer: i think its false

Answer:

  300

Step-by-step explanation:

Fill in the given value and solve for x.

  C(x) = 500x +100000

  250000 = 500x +100000

  500 = x + 200 . . . . . . divide by 500

  300 = x

300 items were produced if the month's expenses were $250,000.