SOLUTION: a man invested 100000. he put part 5% interest. on the other hand, he invested the remainder in bonds with 9% yearly return. How much did he put in the banks if his yearly income f

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: a man invested 100000. he put part 5% interest. on the other hand, he invested the remainder in bonds with 9% yearly return. How much did he put in the banks if his yearly income f      Log On


   

Question 916892: a man invested 100000. he put part 5% interest. on the other hand, he invested the remainder in bonds with 9% yearly return. How much did he put in the banks if his yearly income from the two investments was 7400?



Found 4 solutions by josgarithmetic, solver91311, stanbon, jamalia:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%285.9%29=8x%2B9
8x=e%5E%285.9%29-9
x=%281%2F8%29e%5E%285.9%29-9%2F8

Use of calculator gives e%5E%285.9%29=365.037

x=%28365.037-9%29%2F8

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!








The rest is straight up algebra and calculator work.

John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
ln (8x + 9) = 5.9
-------------
base = e
log = exponent = 5.9
result = 8x+9
-----
Exponential Form::
8x+9 = e^5.9
-----
x = (e^5.9-9)/8
------------------
Cheers,
Stan H.
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Answer by jamalia(1) About Me  (Show Source):
You can put this solution on YOUR website!
a man invested 100000. he put part 5% interest. on the other hand, he invested the remainder in bonds with 9% yearly return. How much did he put in the banks if his yearly income from the two investments was 7400?