Question 683559

Hi this is just a simple algebra equation , I know the answer but I just can't figure out the steps, it's been a while since I've done a math course.

6.5%=(10,000-P)/P * 365/180 
solve for P

the answer is:
P = 9,689,408 

thank you for anyone who takes the time to answer this


The answer's not 9,689,408, but 9,689.408 instead


6.5%=(10,000-P)/P * 365/180 


{{{.065 = ((10000 - P)/P) * (365/180)}}}


{{{.065/(365/180) = (10000 - P)/P}}}


{{{0.032054795 = (10000 - P)/P}}}


0.032054795P = 10,000 - P ------ Cross-multiplying


0.032054795P + P = 10,000


1.032054795P = 10,000


{{{P = 10000/1.032054795}}}, or {{{P = 9689.408017}}} ≈ {{{highlight_green(9689.408)}}}


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