Answer:
a) $13345.73
b) $ 12095.73
Step-by-step explanation:
<em>a) Formula for compound interest: A = P(1 + r/n)^n*t</em>
<u>Step 1: Write the data</u>
Principal = P = 1250
rate = r = 7% = 7/100 = 0.07
Time = retirement age - starting age = 65 - 30 = 35
n = number of periods = 1 (compounded annually)
Amount = A = ?
<u>Step 2: Apply the data in the formula</u>
A = P(1 + r/n)^n*t
A = 1250 (1 + 0.07/1)^1*35
A = 13345.73
Sally will have $13345.73 in the account when she retires.
<em>b) The total amount from Sally's deposit can be derived by subtracting the total amount found in part a by the amount deposited.</em>
Amount - Sally's deposit = x
x = 13345.73 - 1250
x = 12095.73
The total amount from Sally's deposit is $12095.73. Therefore, the interest given to Sally on her deposit is $12095.73.
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