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Andreas93 [3]
3 years ago
5

1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How

much money would you need to deposit now to reach this goal
Mathematics
1 answer:
Lynna [10]3 years ago
5 0

9514 1404 393

Answer:

 $27,026.90

Step-by-step explanation:

The future value formula can be solved to find the present value required.

  FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years

  $100,000 = P(1 +0.08)^17

  P = $100,000/3.70002 . . . . divide by the coefficient of P

  P = $27,026.90

You would need to deposit #27,026.90 now to reach this goal.

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Answer:

10

Step-by-step explanation:

7 0
3 years ago
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A rectangle measured 2 ⅔ inches by 1 5/9 inches what is its area
andre [41]

Answer:

4 4/27 sq inches

Step-by-step explanation:

the area is 2⅔ × 1 5/9 = 8/3 × 14/9

= 112/27 = 4 4/27

5 0
3 years ago
In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.
vladimir2022 [97]

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

\frac{zw}{6}= \frac{18}{24}\\
\\
ZW=6*\frac{18}{24}\\
\\
ZW=\frac{18}{4}\\
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ZW=4.5\\

Hence ZW=4.5 Inches.

6 0
3 years ago
Please help with this
ololo11 [35]

Answer:

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8 0
3 years ago
1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7
Anton [14]

The solution of the equation is x=3 and y=1

Explanation:

The equations are y=x-2 and y=-2 x+7

First we shall solve the equation graphically.

The image of the graph is attached below.

This contains the solution to the system of equations.

The equations y=x-2 and y=-2 x+7 are plotted on the graph.

The intersection of these two equations are the solutions of the system of equations.

Thus, the intersection of the two equations are x=3 and y=1

Now, we shall solve the equation algebraically.

Let us solve the equation using substitution method.

Let us substitute y=x-2 in y=-2 x+7, we get,

x-2=-2x+7

Adding both sides by 2x, we have,

3x-2=7

Adding both sides by 2, we get,

3x=9

Dividing both sides by 3,

x=3

Thus, the value of x is 3.

Substituting x=3 in y=x-2, we get,

y=3-2\\y=1

Thus, the value of y is 1.

Hence, The solution of the equation is x=3 and y=1

4 0
3 years ago
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