Question #311620

Lindiwe decides that she would like to buy her daughter,Mbali, a car when she turns 21 in six years time. She deposits R6000 each month into an account earning 8,94% interest per year, compounded monthly. The amount that Lindiwe ( rounded to the nearest rand ) will have available six years from now is


1
Expert's answer
2022-03-15T19:21:34-0400

FV=pmt[(1+rm)nm1rm]FV =pmt[\frac{(1+\frac{r}{m})^{nm}-1}{\frac{r}{m}}]

Where pmt is R6000

R is 8.94%

N is 6

M is 12

FV=R6000[(1+8.94%12)12×618.94%12]\therefore FV =R6000[\frac{(1+\frac{8.94\%}{12})^{12×6}-1}{\frac{8.94\%}{12}}]

FV=R568948FV =R568948

The amount Lindiwe will have in her account after 6 years is R568948


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