Brad will graduate next year. When he begins working, he plans to deposit $6000 at the end of each year into a retirement accoun
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Answer:
number of periods = 8 years.
Explanation:
We know,
Future Value = Present value ×
Here,
Present value = PV = $2,500
Future value = FV = $3,500
Interest rate (Compounding) = 5% = 0.05
We have to determine how many years (Periods) it will take, n = ?
Putting the values into the above formula,
$3,500 = $2,500 ×
or, = $3,500 ÷ $2,500
or, n log 1.05 = 1.4
or, n × 0.17609 = 1.4
or, n = 1.4 ÷ 0.17609
Therefore, number of years = 7.95 or 8 years.
For the given question, the summation that represents the money in account is:
The principal amount if compounded annually, the formula that represents the amount to be received after n years is:
where A is the amount received after compounding, P is the principal, r is the rate of interest and t is the tenure.
Given:
Annual interest rate(r) is 5.5%
Principal is(P) $300
Tenure is(t) 10 years
On substituting the values in the formula
The amount received after compounding at the end of 1 year will be:
Similarly, the amount to be received after 2 years will be:
The amount received after 10 years will be:
upto 10 years
Therefore the summation that represents the money in account after 10 years is:
Learn more about compound interest here: