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Suppose you invest $ 850 in an account paying 7 % interest per year. a. What is the balance in the account after 2 ​years? How much of this balance corresponds to​ "interest on​ interest"? b. What is the balance in the account after 35 ​years? How much of this balance corresponds to​ "interest on​ interest"?

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Answer and Explanation:

a. The computation of balance in the account after 2 years is shown below:-

Balance in account in 3 years = Future value = Present value (1+ interest rate)^No of years

= 850 × (1 + 7%)^2

= 973.165

Total compounded Interest = 973.165 - 850

= 123.165

Total Simple Interest = 850 × 0.07 × 2

= 119

Balance corresponds to the interest on interest = Total compounded Interest - Total simple interest

= 123.165 - 119

= 4.165

b. The computation of balance in the account after 35 ​years and balance corresponds to​ "interest on​ interest" is shown below:-

Future value = Present value (1+ interest rate)^No of years

= 850 × (1 + 7%)^35

= 9,075.094262

or

= 9,075.09

Total compounded Interest = 9075.09 - 850

= 8,225

Total Simple Interest = 850 × 0.07 × 35

= 2082.5

Balance corresponds to the interest on interest = Total compounded Interest - Total simple interest

= 8,225 - 2,082.5

= 6,142.5

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