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 35 Page 41

Solve the Simple Interest Formula I=Prt for t, then substitute the given values.

6.25 years

Practice makes perfect
We deposit $ 2000 in an account earning simple interest at an annual rate of 4 %. We need to find out how long does the money need to stay in the account in order for us to earn $ 500 in interest. First, let's recall the Simple Interest Formula. I=Prt In the formula I is the interest, P is the principal amount, r is the annual interest rate, and t is the time in years. To find the duration t, we need to solve the formula for t.
I=Prt
I/Pr=t
t=I/Pr
Let's now recall the values for both the accrued and annual interest, as well as the deposit. We will write the annual rate as a decimal. I&= 500 r&= 4 %= 0.04 P&= 2000 We can substitute these values into the rewritten formula and then evaluate.
t=I/Pr
t=500/( 2000)( 0.04)
t=500/80
t=6.25
We found that that the time it takes to earn $500 in interest is 6.25 years.