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Vicki deposited $5,000 in an account at Peninsula Bank that pays 9%, compounded monthly for 10 years. Find...

14. Vicki deposited $5,000 in an account at Peninsula Bank that pays 9%, compounded monthly for 10 years. Find the maturity value of the investment. What is the interest earned on the investment?

Answer

To find the maturity value of the investment, we use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
P = principal amount ($5,000)
r = annual interest rate (9% or 0.09)
n = number of times interest is compounded per year (12)
t = number of years (10)

Substituting the values, we get:
A = 5000(1 + 0.09/12)^(12*10)
A = 5000(1 + 0.0075)^(120)
A = 5000(1.0075)^(120)
A ≈ 5000 * 2.36736
A ≈ $11,836.80

The maturity value of the investment is approximately $11,836.80.

To find the interest earned, subtract the principal from the maturity value:
Interest = A - P
Interest = 11,836.80 - 5,000
Interest ≈ $6,836.80

The interest earned on the investment is approximately $6,836.80.

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