Mathematics
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OpenStudy (anonymous):
Help Please :)
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OpenStudy (anonymous):
ganeshie8 (ganeshie8):
percentages
ganeshie8 (ganeshie8):
this guy is not doing any work for his livelihood.
he just deposited some money in bank. and feeding on interest it gives
ganeshie8 (ganeshie8):
he is getting $4050 yearly as interest right ?
ganeshie8 (ganeshie8):
lets list down his two deposits
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ganeshie8 (ganeshie8):
lets call some money he deposited first = x
ganeshie8 (ganeshie8):
on "x" money he earns an interest of 6% = \(\frac{6}{100}*x = .06x\) --------(1)
ganeshie8 (ganeshie8):
he invested "2x+5000" again
ganeshie8 (ganeshie8):
right ?
OpenStudy (anonymous):
yes, im writing down what youre saying
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ganeshie8 (ganeshie8):
on "2x+5000" money he earns an interest of 9% = \(\frac{9}{100}*(2x+5000) = .09(2x+5000)\)
ganeshie8 (ganeshie8):
call that (2)
ganeshie8 (ganeshie8):
since he makes 4050 yearly on his investments,
(1) + (2) = 4050
=>
.06x + .09(2x+5000) = 4050
ganeshie8 (ganeshie8):
6x + 9(2x+ 5000) = 405000
6x + 18x + 45000 = 405000
24x = 360000
x = 15,000
ganeshie8 (ganeshie8):
so this is the amount he invested at 6 %
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ganeshie8 (ganeshie8):
amount invested at 9% = 2x+5000 = 2(15000) + 5000 = 35,000
OpenStudy (anonymous):
Easy enough now that i see explained.
ganeshie8 (ganeshie8):
glad to hear :)
OpenStudy (anonymous):
i have one more than im off to bed, new question or send here?
ganeshie8 (ganeshie8):
anyway u wish :)
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OpenStudy (anonymous):
ganeshie8 (ganeshie8):
|dw:1343896243405:dw|
ganeshie8 (ganeshie8):
we will use pythagaros theorem
ganeshie8 (ganeshie8):
hypotenuse^2 = side^2+side^2
ganeshie8 (ganeshie8):
20^2 = 11^2 + x^2
x^2 = 20^2-11^2
x = ?
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OpenStudy (anonymous):
x^2 = 279? o.0
ganeshie8 (ganeshie8):
thats right !
ganeshie8 (ganeshie8):
so..
\(x = \sqrt{279}\)
OpenStudy (anonymous):
so 16.7