Question

the interest paid for borrowing qn amount of money for 3yrs at the rate of 4%is n108 find the amount of the money borrowed

Answer 1

The amount of the money borrowed is 864.941

So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x   where r is the growth rate (interest rate)

So the equation can be written as

m=(1.04)^t

   Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount

$I=P(1.04)^t-P$ where I represent the interest paid.

plug the values into the equation

$108=P(1.04)^3-P\\P=864.941$

Therefore the amount of the money borrowed is 864.941.

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