Little Miss Buffet takes all the money from her piggy bank and puts it into a savings account at her local bank. The bank promises an annual interest rate of 2.5% on the balance, compounded semiannually. How much will she have after one year if her initial deposit was $200?
Given:
Initial deposit : $200
Interest rate: 2.5% per annum
Compounded semi annually or twice a year.
Compounded interest means that the interest earned on the deposit also earns an interest.
C.I. = Principal (1 + r/n)^nt
r = annual rate
n = number of times the rate is compounded annually
C.I = 200 (1 + 0.025/2)^2*1
C.I = 200 (1.0125)²
C.I = 200 * 1.025
C.I = 205
She'll have a total of $205. The $5 is the interest earned for the year.
Answer: D.205.03
Step-by-step explanation:
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