Question

Please help me solve, i'm not looking for the answer, just the steps so i can get the answer.
The formula for the amount with simple interest is A = P(1 + rt). Find t if A = 168, P = 150, and r = 0.08

Answer 1

\[\frac{ A }{ P } = (1+rt)\]
\[\frac{ A }{ P } -1 = rt\]
\[\frac{ \frac{A}{P} -1 }{ r } = t\]

Answer 2

okay so
168/150-1= 0.08t Right? I'm solving for t?

Answer 3

Oh,
168/150-1/0.08= 1.5 therefore 1.5 is t?
so 168/150-1=0.08(1.5)
12=12

Answer 4

ANOTHER APPROACH:

Plug in the given to the formula.
\(\color{maroon}{A = P(1 + rt)}\)

\(\color{olive}{A = 168}\),
\(\color{indigo}{P = 150}\), and
\(\color{orange}{r = 0.08}\)

\(\huge \color{blue}{168=150(1+0.08t)}\)

DISTRIBUTE 150 TO (1+0.08t).

\(\huge \color{blue}{168=150+12t}\)

SUBTRACT 150 ON BOTH SIDES.
\(\huge \color{blue}{168-150=150-150+12t}\)

\(\huge \color{blue}{18=12t}\)

DIVIDE 12 ON BOTH SIDES.
\(\huge \color{blue}{18 \div 12=12t \div 12}\)

------------------
\(\huge \color{maroon}{18 \div 12=t}\)

Answer 5

Thanks to you both! :) this helped a lot.

Answer 6

:)