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When asked to solve A = P(1 + i) for i, one student answered i = A/P-1 and another student answered i = A-P/P . Are the two answers equivalent? (Explain your answer). 

Guest Mar 12, 2018

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 #1
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Solve for i:

A = P (i + 1)

 

A = (i + 1) P is equivalent to (i + 1) P = A:

P (i + 1) = A

 

Divide both sides by P:

i + 1 = A/P

 

Subtract 1 from both sides:

 

i = (A - P) / P     OR       i=A/P - P/P=A/P - 1. Yes, the two are equivalent!! The reason is very clear if you look at the last one.

Guest Mar 12, 2018
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1+0 Answers

 #1
avatar
0
Best Answer

Solve for i:

A = P (i + 1)

 

A = (i + 1) P is equivalent to (i + 1) P = A:

P (i + 1) = A

 

Divide both sides by P:

i + 1 = A/P

 

Subtract 1 from both sides:

 

i = (A - P) / P     OR       i=A/P - P/P=A/P - 1. Yes, the two are equivalent!! The reason is very clear if you look at the last one.

Guest Mar 12, 2018

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