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Calculate the amount that must be invested at 6%p.a.interest compounded annually to have K5000 at the end of 4years?
Calculate the amount that must be invested at 6%p.a.interest compounded annually to have K5000 at the end of 4years?
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ChatGPT
Jun 5
The formula to calculate the future value of an investment compounded annually is:
FV = PV * (1 + r)^n
Where: FV = Future Value (K5000) PV = Present Value (amount to be invested) r = annual interest rate (6% or 0.06) n = number of years (4)
Substitute the values into the formula:
5000 = PV * (1 + 0.06)^4
5000 = PV * (1.26248)
PV = 5000 / 1.26248 PV = 3960.96
Therefore, the amount that must be invested at 6% p.a. interest compounded annually to have K5000 at the end of 4 years is approximately K3960.96.
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Google Gemini AI
Jun 5
Using the formula: A = P(1+r)^nt Where: A = the future amount P = the present amount r = rate of interest n = number of times compounded per year t = number of years
A = 5000 r = 6/100 = 0.06 n = 1 (compounded annually) t = 4
Substituting these values into the formula, we get:
5000 = P(1+0.06)^1-4 5000 = P(1.06)^4 5000 = P(1.2625) P = 5000/1.2625 P = K3960
Therefore, the amount that must be invested at 6% p.a. interest compounded annually to have K5000 at the end of 4 years is K3960.
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Jun 5
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