Answer to Question #192445 in Financial Math for Beauty Magadlela

Question

Lesiba invests an amount of money in an a ount earning 13,88% interest per year, ompounded weekly. After ve years, this amount has a umulated to R50 000. The amount that was invested initially is

[1] R26 105,54.

[2] R15 300,00.

[3] R29 515,94.

[4] R25 001,79.

[5] R34 700,00.

Answer 1

P=principal or amount invested initially,t= time in years

A = amount , r = the interest rate per time period, and n = the number of time periods

t=5×52=260

$P=\frac{A}{(1+\frac{r}{n})^{t×n}}$

The amount that was invested initially is: 

$P = 50,000/(1 + 0.1388/52)^{260} = R25,001.79.$

So, the correct answer is 4.