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Elza [17]
4 years ago
15

A woman deposits ​$11 comma 000 at the end of each year for 15 years in an account paying 5​% interest compounded annually. ​(a)

Find the final amount she will have on deposit. ​(b) Her​ brother-in-law works in a bank that pays 4​% compounded annually. If she deposits money in this bank instead of the other​ one, how much will she have in her​ account? ​(c) How much would she lose over 15 years by using her​ brother-in-law's bank?
Business
1 answer:
nignag [31]4 years ago
5 0

Answer and Explanation:

The computation is shown below:

a. The final amount she will have on deposit is

Future value = Present value × {(1 + interest rate)^number of years - 1} ÷ interest rate

= $11,000 × {(1 + 0.05)^15 - 1} ÷ 0.05

= $11,000 × 21.57856359

= $237,364.20

b. The amount at 4% is

Future value = Present value × {(1 + interest rate)^number of years - 1} ÷ interest rate

= $11,000 × {(1 + 0.04)^15 - 1} ÷ 0.04

= $11,000 × 20.02358764

= $220,259.46

c. The losing amount in case when she used her brother-in-law's bank is

= $237,364.20 - $220,259.46

= $17,104.74

We simply applied the above formula

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