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Jess deposited $5,000 into an account that earns simple interest. After 9 years, Jess had earned $3,150 in interest. What was the interest rate of the account?

User ADB
by
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2 Answers

9 votes

Answer:

The interest rate of Jess's account was 7%

Explanation:

A = P * (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

Replacing with the values we know:

A = P * (1 + rt)

8,150 = 5,000 * (1 + r * 9)

8,150/5,000 = 1 + 9r

1.63 = 1 + 9r

1.63 - 1 = 9r

0.63 = 9r

r = 063/9

r = 0.07 = 7%

The interest rate of Jess's account was 7%

User ChristiaanV
by
5.2k points
2 votes

Answer:

The interest rate of Jess's account was 7%

Explanation:

____________________________________

A = P × (1 + rt)

A = final amount

P = initial principal balance

r = annual interest rate

t = time (in years)

___________________________________

A=8,150

P=5,000

8,150 = 5,000 × (1 + r × 9)

8,150÷5,000 = 1 + 9r

1.63 = 1 + 9r

1.63 - 1 = 9r

0.63 = 9r

r = 063÷9

r = 0.07 = 7%

User Radim Burget
by
5.5k points