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How much money would be accumulated in 10 years for a deposit of ​$10,000 made at...

How much money would be accumulated in 10 years for a deposit of ​$10,000 made at the​ end-of-year zero if the account earned interest at 7​% per year for the first three​ years, 10​% per year for the next four​ years, and 8​% per year for the last three​ years?

The amount accumulated in 10 years will be $_________.(Round to the nearest​ dollar.)

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Answer #1

Amount deposited in the 0th year = $10,000

Interest for first three years = 7%

Interest for next four years = 10%

Interest for the last three years = 8%

What is the future value at the end of 10th year?

Future value = $10,000 (1+0.07)3(1+0.10)4(1+0.08)3 = $22594

Alternatively

Future value = $10,000 (F/P, 7%, 3) (F/P, 10%, 4) (F/P, 8%, 3)

Future value = $10,000 (1.2251) (1.4641) (1.2597) = $22594

The amount accumulated in 10 years will be $22594.

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