Question

The formula for simple interest plus starting principal, where A=amount, P=principal, r=interest rate per period, and t = time, is given below.

A=P+Prt

Which could be used to find the time, t, if the amount, principal, and interest are known?

options:
a) A−P−Pr=t
b)A−P/Pr=t
c) A−Pr/P=t
d)A/P+rt=t

Answer 1

b

Explanation:

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Answer 2

B.
`(A-P)/(Pr)=t`

Explanation:

A = amount

P = principal

r = interest rate per period

t = time

Formula connecting amount, simple interest plus starting principal is

`A=P+Prt`

First, subtract P from both sides:

`A-P=P+Prt-P\\ \\A-P=Prt`

Now, divide this equation by Pr:

`(A-P)/(Pr)=(Prt)/(Pr)\\ \\(A-P)/(Pr)=t`