Question

Kaya deposits $25,000 into an account that earns 3% interest compounded monthly. How much does Kaya's have in the account after 6 years 8 months? Round to the nearest cent. © $32,912.50 O $30.000 © $29.923.71 © $30.527.45

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Answer to a math question Kaya deposits $25,000 into an account that earns 3% interest compounded monthly. How much does Kaya's have in the account after 6 years 8 months? Round to the nearest cent. © $32,912.50 O $30.000 © $29.923.71 © $30.527.45

Expert avatar
Santino
4.5
112 Answers
1. Start with the given principal amount:

P = 25000

2. Identify the annual interest rate and convert it to a decimal:

r = 0.03

3. Number of compounding periods per year:

n = 12

4. Convert the total investment time into years:

t=6+\frac{8}{12}=6+0.6667=6.66667

5. Plug these values into the compound interest formula:

A=25000\left(1+\frac{0.03}{12}\right)^{12\times6.66667}=30527.45

The answer is approximately (in dollars) 30527.45

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