Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Rewriting Equations and Formulas
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Exercise 10 Page 39

Use the simple interest formula I=Prt, where P is the principal amount, r the interest rate, and t the number of years.

$2500

Practice makes perfect

Let's recall the simple interest formula. In the formula I represents the interest, P is the principal amount invested, r is the interest rate, and t the number of years of the investment. I=Prt Before we find how much money we need to deposit in the account, first we are going to solve the above formula for P.

I=Prt
I/rt=P
P=I/rt

In the exercise we are given the accrued and annual interest, as well as the time of the investment in years. I= 500 r= 4 %= 0.04 and t= 5 We will substitute these values into the rewritten formula and then evaluate.

P=I/rt
P=500/( 0.04)( 5)
P = 500/0.2
P = 2500

It takes $2500 of investment to earn $500 of interest.