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12 votes
12 votes
6. Katie invested $1600 at a rate of 1.4% per year compounded continuously. How much will she have after 12 years? Round to the nearest cent (hundredth place).​

User Kobik
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1 Answer

10 votes
10 votes

Answer:

$1890.49 (to the nearest cent)

Explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound Interest = P (1 + r)^n

where P = principal amount, r = annual interest rate (as a decimal), n = term, in years​

So for this problem:

P = 1600

r = 1.4 ÷ 100 = 0.014

n = 12

Therefore,

Compound Interest = P (1 + r)^n

= 1600 x (1 + 0.014)^12

= 1600 x (1.014)^12

= 1890.494606...

= $1890.49 (to the nearest cent)

User Chris Benard
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