Simple Interest: Number of Years

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The discussion centers on calculating the number of years required for cumulative interest to equal the original investment at a 12.5% annual simple interest rate. The correct formula for calculating simple interest is highlighted as I = Prt, rather than V = P(1 + rt). A user mistakenly applied the wrong formula, leading to confusion about the interest accrued in one year. Clarification is provided that the interest rate should be expressed as a decimal (0.125). The main goal is to determine the time needed for the total interest to match the principal amount.
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Homework Statement


An investment is made at 12.5% annual simple interest. Find the number of years it will take for the cumulative value of the interest to equal the original investment?

Homework Equations


V=P(1+rt)
Where V= interest on Amount
P = Principal amount
r= interest rate
t= number of years for which amount is invested

The Attempt at a Solution


Simple Interest formula is:

V=P(1+rt) Let p =10 & t=1

V= 10(1+12.5) = 135In just one year the interest obtained is more than the Principal value. Some body please guide me. What I understand is that, I have to find the number of years in which the interest obtained & added (with previous years’ interest becomes equal to the Principal).

Zulfi.
 
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r is 12.5%, which is 0.125, not 12.5.
 
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zak100 said:

Homework Statement


An investment is made at 12.5% annual simple interest. Find the number of years it will take for the cumulative value of the interest to equal the original investment?

Homework Equations


V=P(1+rt)
Where V= interest on Amount
P = Principal amount
r= interest rate
t= number of years for which amount is invested

The Attempt at a Solution


Simple Interest formula is:

V=P(1+rt) Let p =10 & t=1

V= 10(1+12.5) = 135In just one year the interest obtained is more than the Principal value. Some body please guide me. What I understand is that, I have to find the number of years in which the interest obtained & added (with previous years’ interest becomes equal to the Principal).

Zulfi.

Your formula for the interest is wrong: interest = Prt, NOT P(1+rt).
 

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