Question

Can someone please show me how in the world do I solve: P = A - Prt

Answer 1

are you solving for a certain letter ?

Answer 2

yes for P

Answer 3

You pass al the P's to a side, then you factorize and finally you divide:\[P+Prt=A \rightarrow P(1+rt)=A \rightarrow P=\frac{ A }{ 1+rt }\]

Answer 4

I get the passing the Prt to the left side....lost after that...not sure how to factorize

Answer 5

I am lost on the factorize part

Answer 6

Ok when you sum two terms that have similar multiplications you can do this:\[xy+xz=x(y+z)\] See?

Answer 7

In your case, x=P, y=1 and z=rt

Answer 8

ok...getting it but not 100% there

Answer 9

Do you know the distributive property of multiplication?

Answer 10

yes......got confused about where the 1 came from

T + Txy would be T(1 + xy) right?

Answer 11

@openstudy276 that's correct. T + Txy = T(1 + xy). You "Factor" out the T from each. Similarly you factor out the P from P + Prt to get P(1 + rt). When you expand P(1 + rt), using the distributive property you get: P(1) + P(rt) = P + Prt. You're back to where you started from! This means that P( 1 + rt) is the correct factortisation. Now divide both sides by 1 + rt to isolate P from the rest of the equation and you're done.