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Natasha_Volkova [10]
3 years ago
7

Suppose that $2500 is placed in a savings account at an annual rate of 5%, compounded quarterly. Assuming that no withdrawals ar

e made, how long will it take for the account to grow to $3500
Business
1 answer:
babymother [125]3 years ago
5 0

Answer:

number of periods = 8 years.

Explanation:

We know,

Future Value = Present value × (1 + r)^{n}

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 × (1 + 0.05)^{n}

or, (1 + 0.05)^{n} = $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.

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