Bongiwe invested a certain amount into a savings account at 6,5% compound

interest per annum. If the final amount is R15 300 after 5 years, how much did
she originally inves

1 answer

To find out how much Bongiwe originally invested, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:
A = Final amount (R15,300)
P = Principal amount (unknown)
r = Interest rate per year (6.5% or 0.065)
n = Number of times interest is compounded per year (1 for annually)
t = Number of years (5)

Let's plug in the given values into the formula and solve for P:

15,300 = P(1 + 0.065/1)^(1 * 5)
15,300 = P(1 + 0.065)^5
15,300 = P(1.065)^5
15,300 = P(1.352)
15,300/1.352 = P
11,309.07 = P

Therefore, Bongiwe originally invested R11,309.07.