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how do you solve this equation for A- P=(i*A)/[1-(1+i)^-60]

 May 10, 2016
 #1
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0

Solve for A:
P = (1073741824 i A)/1073741825

 

(1073741824 i A)/1073741825 = (1073741824 i A)/1073741825:
P = ((1073741824 i) A)/1073741825

 

P = ((1073741824 i) A)/1073741825 is equivalent to ((1073741824 i) A)/1073741825 = P:
((1073741824 i) A)/1073741825 = P

 

Divide both sides by (1073741824 i)/1073741825:
Answer: |  A = -((1073741825 i) P)/1073741824

 May 10, 2016
 #2
avatar+130516 
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P=(i*A)/[1-(1+i)^-60]     multiply both sides by  [1-(1+i)^-60]

 

P * [1-(1+i)^-60]   =  i * A    divide both sides by i

 

P * [1-(1+i)^-60] / i    =  A

 

 

cool cool cool

 May 10, 2016
 #3
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+5

This is a FINANCIAL formula for finding the regular PMT of a loan, mortgage, annuity........etc.

 

P=(R*A) / [1-(1+R)^-60] {Changed your i to R, because somebody has confused it with complex i}

 

Solve for A:
P = (A R)/(1-1/(R+1)^60)

 

P = (A R)/(1-1/(R+1)^60) is equivalent to (A R)/(1-1/(R+1)^60) = P:
(A R)/(1-1/(R+1)^60) = P

 

Divide both sides by R/(1-1/(R+1)^60):
Answer: |  A = (P (1-1/(R+1)^60))/R

 May 10, 2016

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