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Howmuchmustbeinvestedintoafundthatpaysaninterestof12%perannumafter fiveyearsinordertoaccummulateuptoGHS10000

Question

How much must be invested into a fund that pays an interest of 12% per annum after five years in order to accumulate up to GHS 10,000?

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Solution

To find out how much must be invested into a fund that pays an interest of 12% per annum after five years in order to accumulate up to GHS 10,000, you can use the formula for compound interest which is:

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

Where: A = the amount of money accumulated after n years, including interest. P = the principal amount (the initial amount of money) r = annual interest rate (in decimal) n = number of times that interest is compounded per year t = time the money is invested for in years

In this case, we know that A = GHS 10,000, r = 12% or 0.12 (in decimal), n = 1 (since it's compounded annually), and t = 5 years. We want to find P.

Rearranging the formula to find P gives us:

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

Substituting the known values into the formula gives us:

P = 10,000 / (1 + 0.12/1) ^ (1*5)

Now, calculate the expression in the brackets, raise it to the power of 5, and then divide 10,000 by this result to find P.

This will give you the amount that must be invested into the fund.

This problem has been solved

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