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Chapter 2: Q. 2.123 (page 270)

Use the formula I = Prt to find the principal,P : ⓐ whenI = $2,160, r = 6%,t = 3 years ⓑ in general

Short Answer

Expert verified

a.Thesimplifiedvalueisp=1200

b.Ingeneralp=I(rt)

Step by step solution

01

Step 1. Given information

The given equation is :I= Prt

We have toUse the formula I= Prtto find the principal,P : ⓐ whenI = $2,160, r= 6%,t= 3 years ⓑ in general

02

Step 2. Explanation

Solve:Writetheformula⇒I=Prt⇒2160=P(0.06)(3)(Substitute)⇒2160=p(3)(Simplify)⇒21600.18=P(0.18)0.18(Dividebothsidestoisolatet)⇒12000=p(Simplify)Thesimplifiedvalueisp=1200

03

Part b. Step 3. Explanation

IngeneralWritetheformula.⇒I=Prt⇒I=P(rt)(Simplify)⇒I(rt)=P(rt)(rt)(Dividebothsidestoisolatep)⇒I(rt)=p(Simplify)Ingeneralp=I(rt)

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