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Kala received a $2100 bonus. she decided to invest it in a 2-year certificate of deposit (cd) with an annual interest rate of 1.17% compounded annually. What is the total amount Kala will have after two years?

a) $2144.67
b) $2125.50
c) $2112.06
d) $2089.83

User Marged
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1 Answer

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Final answer:

Kala will have $2144.67 after investing her $2100 bonus in a 2-year CD at 1.17% annual interest, compounded annually, which corresponds to answer choice (a).

Step-by-step explanation:

The question asks about calculating the future value of an investment in a Certificate of Deposit (CD) with compound interest. Kala invests her $2100 bonus at an annual interest rate of 1.17%, compounded annually, for two years. To calculate the total amount she will have after two years, we use the formula for compound interest: A = P(1 + r/n)nt, where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

For Kala's investment, P = $2100, r = 0.0117 (1.17% as a decimal), n = 1 (since the interest is compounded annually), and t = 2 years. Plugging these values into the formula, we get:

A = 2100(1 + 0.0117/1)1*2 = 2100(1 + 0.0117)2 = 2100 * 1.01172 = 2100 * 1.023689, which rounds to approximately $2144.67

Therefore, the total amount Kala will have after two years is $2144.67, which corresponds to answer choice (a).

User Fehmi
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