Amount of an Investment. The amount of an ivestment of P dollarsfor T years at simple intrest rate r is given by

A=P+PrT

a)Rewrite formula by factoring out the greatest common factor on the right hand side.

b)find A if $8300is invested for 3 yrs at simple intrest rate of 5%

A=P+PrT

A = P(1 + rt)

in b) sub in 8300 for P, 3 for t, and .05 for r
A = 8300(1 + 3(.05))
= ....

a) A = P(1 + r T)

b) They are asking you to compute
8300*[1 + (0.05*3)] = 8300*1.15
"*" means the same at "x"

Is this the same as PV formaula?

No. That is Boyle's gas law.

a) To rewrite the formula by factoring out the greatest common factor on the right side, we can factor out P from the expression P + PrT.

A = P + PrT

Let's factor out P:

A = P(1 + rT)

Now the formula is rewritten with the greatest common factor factored out on the right side.

b) To find A when $8300 is invested for 3 years at a simple interest rate of 5%, we can substitute the given values into the formula:

A = P(1 + rT)

P = $8300
r = 5% = 0.05
T = 3

Now substitute the values into the formula:

A = $8300(1 + 0.05 * 3)

A = $8300(1 + 0.15)

A = $8300 * 1.15

A = $9,545

Therefore, if $8300 is invested for 3 years at a simple interest rate of 5%, the amount A will be $9,545.