Gene paid a deposit on a leased car. The deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. What was the amount of the original deposit?

Answer:

2t+b=8.00

e+t+b=8.50

2e+2t=10.00

Step-by-step explanation:

Answer:

22.5 feet

Step-by-step explanation:

set up a proportion, then cross-multiply

18/20 = x/25      or        18/x = 20/25  

The height of the tree is 22.5 ft

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given that, the height to the top of a flagpole is 18 feet, the flagpole casts a shadow of 20 feet, and a tree casts a shadow of 25 feet.

Here we need to find the height of the tree,

We will use the concept of the similar triangles to find the same,

Let the height of the tree be x

So. according to the definition of similar triangles,

18 / 20 = x / 25

x = 45 / 2

x = 22.5

Hence, the height of the tree is 22.5 ft

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Answer:

B (2,0)

Step-by-step explanation:

The solution of the system is (2, 0).

Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is the simultaneous equation.

Given information:

The system of equations,

y = -2x + 4

y = x- 2.

To find the solution to the system of equations, find the intersection points of the equations.

As per the graph given in the attachment below.

So, the intersection point is (2, 0).

Therefore, the point is (2, 0).

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[tex] \sqrt[5]{2} [/tex]

=cos12°+isin12° is your answer

Answer:

$48

Step-by-step explanation:

you would first need to find what the cost of 1 book is so

16 divided by 4 is 4

so 1 book is $4

then you would need multiply the cost of one book by 12

so 4 times 12 is 48

so the cost would be $48

Answer:

192

Step-by-step explanation:

times

=======================================================

Work Shown:

P = 1000 is the amount deposited

We want this value to double to A = 2000 which is the amount in the account at time t (in years).

r = 0.03 represents the interest rate in decimal form.

The value of t is unknown but we can solve for it like so

[tex]A = Pe^{rt}\\\\2000 = 1000e^{0.03t}\\\\2 = e^{0.03t}\\\\\ln(2) = \ln\left(e^{0.03t}\right)\\\\\ln(2) = 0.03t\ln\left(e\right)\\\\\ln(2) = 0.03t*1\\\\\ln(2) = 0.03t\\\\[/tex]

[tex]0.03t = \ln(2)\\\\t = \frac{\ln(2)}{0.03}\\\\t \approx 23.1049060186649\\\\t \approx 23\\\\[/tex]

It will take about 23 years for the amount to double.

As a check,

[tex]A = 1000e^{0.03t}\\\\A \approx 1000e^{0.03*23.104906}\\\\A \approx 1,999.9999988806\\\\A \approx 2000\\\\[/tex]

which helps show that after roughly 23 years, we'll have about 2000 dollars in the account.

------------

Side note: Use of the rule of 72 leads to 72/3 = 24. The '3' is from the 3% interest rate. So the rule of 72 says it will take about 24 years for the amount to double. This isn't too far off from the 23 answer we got.

Answer:

210 cm²

Step-by-step explanation:

Area of the surface having dimensions 6 cm × 11 cm

[tex]A_1[/tex] = 11 × 6 = 66 cm²

Area of the surface having dimensions 3 cm × 6 cm

[tex]A_2[/tex] = 3 × 6 = 18 cm²

Area of the surface having dimensions 7 cm × 6 cm

[tex]A_3[/tex] = 7 × 6 = 42 cm²

Area of the surface having dimensions 5 cm × 6 cm

[tex]A_4[/tex] = 5 × 6 = 30 cm²

Area of the trapezoidal surface on the top = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A_5[/tex] = [tex]\frac{1}{2}(11+7)3[/tex]

    = 27 cm²

Area of the trapezoidal base [tex]A_6[/tex] = Area of the surface on the top = 27 cm²

Total surface area = [tex]A_1+A_2+A_3+A_4+A_5+A_6=66+18+42+30+27 + 27[/tex]

                                               = 210 cm²

Therefore, total surface area of the trapezoidal prism = 210 cm²

Answer:

12,16,20

Step-by-step explanation:

First list the multiples of 4

4,8,12,16,20,24,28

We want the ones that are greater than 10

12,16,20

Answer:

70%

Step-by-step explanation:

21/30      p/100

30/30=2,100/30=70

Answer:

2 and 5............................

Answer:

Yes. 2 & 5 / 4 & 8 / 1 & 6 / 3 & 7 (Choose one yourself)

Step-by-step explanation:

Corresponding angles are angles that have one angle outside a pair of parallel lines and one angle within it and they are equal to each other.

Answer:

2 brown

Step-by-step explanation:

The only time you can be so sure you've chosen 2 brown socks is when there are no more white socks and black socks. This means that to be 100% sure that you have chosen 2 brown socks you have to choose the 12 white socks and the 18 black socks and only then can you choose 2 brown socks without looking. Therefore, the total number of socks to choose from is:

Total number of socks = 12 white socks + 18 black socks + 2 brown socks

Total number of socks = 32 socks

A total picking of 32 socks is necessary to be sure without looking that 2 brown have already been chosen that way.

The least number of socks must choose, must choose without looking, to be certain that you have chosen two socks of the same color is 4.

The least number is "the smallest or lowest number or degree".

According to the question,

A drawer contains 12 identical white socks, 18 identical black socks, and 14 identical brown socks.

In order to find the least number of socks you must choose, without looking, to be certain that you have chosen two socks of the same color.

Since, we have only 3 different colors to get pair of one color we need to take 4 socks so that last one must matches color of socks what we have already have in our hand.

Hence, it clearly shows the least number of socks must choose, without looking, to be certain that you have chosen two socks of the same color is 4.  

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Step-by-step explanation:

y = x2 + 12x.

x= y2 + 12x           would also be 12 y

y2 = x - 12x               would be -x

y2=-11x  

y=[tex]\sqrt{-11x}[/tex], for x > 0    negative  square root not possible

Describe the three errors?

The three errors made in finding the inverse of y = x² + 12x are,

⇒ First mistake to write 12y in place of 12x.

⇒ Second mistake to write the expression y² = x - 12x.

⇒ Third mistake because it never possible negative square root for x > 0.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ y = x² + 12x

Here, The process are,

⇒ y = x² + 12x.

⇒ x = y² + 12x

There is first mistake to write 12y in place of 12x.

⇒ y² = x - 12x

There is second mistake.

⇒ y² = -11x

⇒ y = √-11x, for x > 0

There is third mistake because it never possible negative square root for x > 0.

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Step-by-step explanation:

5.1054 meters

I think you should round the number tho

Answer:

D the 4th one that starts with-13.

Answer:

The value of μ will be "0.82".

Step-by-step explanation:

The given question is incomplete. Please find attachment of the complete question below.

The given three random samples are 0.8, 0.95 and 0.7.

Now,

⇒ [tex]\mu=\frac{\bar{x_1}+\bar{x_2}+\bar{x_3}}{3}[/tex]

On substituting the estimated values, we get

⇒    [tex]=\frac{0.8+0.95+0.7}{3}[/tex]

⇒    [tex]=\frac{2.45}{3}[/tex]

⇒    [tex]=0.82[/tex]

It will not rational here, considering the equivalent significance, since the sampling amount for sample 3 becomes somewhat big 200.

Answer:

The answer is A,B,D

Step-by-step explanation:

I got it right on EDGE

The required key features of the given [tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex] area as follows,
(A) The graph has a y-intercept at –2.
(B) The graph has an x-intercept at –6.
(D) The graph has a vertical asymptote at x = –3.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function
[tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex]

Draw the graph of the above function,
From the graph, we can conclude the points that,
The Y-intercept of the function is y = -2, the X=intercept of the function is x = -6, and the vertical asymptote at x = –3.

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Answer:

the slope is 1/2 :)

Step-by-step explanation:

Answer:

1/3 or 1/-2

Step-by-step explanation:

Answer:

show the graph then we can fingerite out

Step-by-step explanation:

we will have to see the graph then we can see what we are working with

Answer:

A

Step-by-step explanation:

Answer:

365 more meters

Step-by-step explanation:

490-125=365

Answer:

10 days

Step-by-step explanation:

Write an equation where both sides equal the same thing, using x as the variable for the amount of days

100-3x=20+5x

100-20=3x+5x

80=8x

x=10

Answer:

4.42 is the answer........

Step-by-step explanation:

Im not sure