If 7000 dollars is invested in a bank account at an interest rate of 6 per cent per year, find the amount in the bank after 14 years if interest is compounded annually

Respuesta :

Answer:

Therefore the amount in the bank after 14 years is $15826.33 (approx).

Explanation:

Compound interest: The amount of the principal is not same all year.

The principal of first year = The initial amount principal

Second year principal = Principal+ interest of first year

Third year principal =  The principal of second year + interest of second year.

and so on....

The amount [tex](A)= P(1+r)^n[/tex]

 Here principal = $7000

r = rate of interest = 6% = 0.06

n = Time = 14 year

Amount = [tex]\$[ 7000(1+0.06)^{14}][/tex]

            =$ 15826.33 (approx)

Therefore the amount in the bank after 14 years is $15826.33 (approx)

Answer:

The amount which the bank will pay after 14 years amounts to $15,826.33

Explanation:

The amount which is to be paid after 14 years is known as Future Value (FV), which is computed as:

Using the Excel formula of FV as:

=FV(rate,nper,pmt,pv,type)

where

rate is 6%

nper is number of years which is 14 years

PMT is monthly payment which is $0

PV is Present value which is -$7,000

Putting the values above:

=FV(6%,14,0,-7000,0)

= $15,826.33

Therefore, the future value which is to be paid after 14 years amounts to $15,826.33