Answered

3.
Find the compound amount. Round to the nearest cent.

Amount: $23,400
Rate: 3%
Compounded: semiannually
Time (Years): 10


A.)$31,516.52

B.)$27,156.64

C.)$26,910.00

D.)$31,447.73

Answer :

Correct Answer: Option A

Principal Amount = P = $23,400
Interest rate = r = 3% = 0.03
Time = t = 10
Number of compounding periods in a year = n = 2
Compounded amount = A = ?

Formula for compound interest is:

[tex]A = P(1+ \frac{r}{n} )^{t*n} [/tex]

Using the values, we get:

[tex]A=23400(1+ \frac{0.03}{2})^{2*10}=31516.41 [/tex]

Option A is the closest one, so its the correct answer

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