How do make r the subject in the following fomula:- A= P(1+R/100)5
Question asked by: mathabu
Asked on: 21 Apr 2010

You need to re-arrange the equation:
A= P(1+R/100)5
(A/5P) x 100 -1 = R
That might be the rearrangement though I'm not sure.
By: knowitall
Replied at: 28 Apr 2010
Rate Answer
Comment or provide your answer to this question
You should take more care in writing your questions.
Because of how you have written it, I cannot tell if you are asking me to rearrange
A = P(1 + (R/100)) x 5
or if you are asking me to rearrange
A = P((1+R)/100) x 5.
The 5 at the end could even be interpreted as being a power, rather than a coefficient, but I will assume that it is not.
I will answer these two different interpretations of your question respectively and would encourage you to be more clear in future.
The key to answering this question is that whatever you do to one side you must also do to the other.
i) A = P(1 + (R/100)) x 5
=) P(1+(R/100)) = A/5 [divide both sides by 5]
=) 1+(R/100) = A/5P [divide both sides by P]
=) R/100 = A/5P - 1 [subtract 1 from both sides]
=) R = 100(A/5P - 1) [multiply both sides by 100]
At this point, we simplify:
R = 100(A/5P - 1)
= 100A/5P - 100
= 20A/P - 100
= 20(A/P - 5)
ii)A = P((1+R)/100)x5
=) P((1+R)/100) = A/5
=) (1+R)/100 = A/5P
=) 1+R = 100(A/5P)
=) R = 100(A/5P) - 1
Simplifying:
R = 100(A/5P) - 1
= (100A/5P) - 1
= (20A/P) - 1
By: Wyess.
Date of comment: Fri, Dec 24th 2010
Comments and other answers:
You should take more care in writing your questions.
Because of how you have written it, I cannot tell if you are asking me to rearrange
A = P(1 + (R/100)) x 5
or if you are asking me to rearrange
A = P((1+R)/100) x 5.
The 5 at the end could even be interpreted as being a power, rather than a coefficient, but I will assume that it is not.
I will answer these two different interpretations of your question respectively and would encourage you to be more clear in future.
The key to answering this question is that whatever you do to one side you must also do to the other.
i) A = P(1 + (R/100)) x 5
=) P(1+(R/100)) = A/5 [divide both sides by 5]
=) 1+(R/100) = A/5P [divide both sides by P]
=) R/100 = A/5P - 1 [subtract 1 from both sides]
=) R = 100(A/5P - 1) [multiply both sides by 100]
At this point, we simplify:
R = 100(A/5P - 1)
= 100A/5P - 100
= 20A/P - 100
= 20(A/P - 5)
ii)A = P((1+R)/100)x5
=) P((1+R)/100) = A/5
=) (1+R)/100 = A/5P
=) 1+R = 100(A/5P)
=) R = 100(A/5P) - 1
Simplifying:
R = 100(A/5P) - 1
= (100A/5P) - 1
= (20A/P) - 1By: Wyess.
Date of comment: Fri, Dec 24th 2010
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Question Keywords
following  fomulaa  p1r1005  subject  
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