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

Respuesta :

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Answer:

B. [tex]\dfrac{A-P}{Pr}=t[/tex]

Step-by-step explanation:

A = amount

P = principal

r = interest rate per period

t = time

Formula connecting amount, simple interest plus starting principal is

[tex]A=P+Prt[/tex]

First, subtract P from both sides:

[tex]A-P=P+Prt-P\\ \\A-P=Prt[/tex]

Now, divide this equation by Pr:

[tex]\dfrac{A-P}{Pr}=\dfrac{Prt}{Pr}\\ \\\dfrac{A-P}{Pr}=t[/tex]

Answer:

b

Step-by-step explanation:

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