None of the above
To calculate the correct amount that should be invested at 16% per annum, compounded monthly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the amount after t years (R 12 400)
P = the principal amount (what we need to find)
r = the annual interest rate (16% or 0.16)
n = the number of times the interest is compounded per year (12 for monthly)
t = the time the money is invested for (4 years)
Substitute the values into the formula:
12 400 = P(1 + 0.16/12)^(12*4)
12 400 = P(1 + 0.0133)^48
12 400 = P(1.0133)^48
12 400 = P(1.8457)
P = 12 400 / 1.8457
P ≈ R 6712.14
Therefore, the correct amount that should be invested at 16% per annum, compounded monthly, is approximately R 6 712.14.
What amount should be invested at 16% per annum, compounded monthly, so that it amounts to R 12 400 in 4 years?
R 11 761.68
R 9.99
R 6 576.50
None of the above
1 answer