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Use the compound interest formula to compute the total amount accumulated and the interest earned. $5000 for 4 years at 4.5% compounded monthly. The total amount accumulated after 4 years is $____.

a. $6056.87

b. $6123.45

c. $5950.21

d. $6001.89

User Riyaz
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1 Answer

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Final answer:

The total amount accumulated after 4 years is $6123.45. The interest earned is $1123.45.

Step-by-step explanation:

To compute the total amount accumulated and the interest earned using compound interest formula, we can use the formula A = P(1 + r/n)nt. In this case, the principal (P) is $5000, the interest rate (r) is 4.5% (or 0.045), the number of compounding periods per year (n) is 12 (since it's compounded monthly), and the time (t) is 4 years.

Using the formula, we can plug in the values and calculate the total amount accumulated as follows: A = 5000(1 + 0.045/12)(12*4) = $6123.45.

To find the interest earned, we subtract the original principal from the total amount accumulated: Interest = A - P = $6123.45 - $5000 = $1123.45.

User Khel
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