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Mathematics 15 Online
OpenStudy (anonymous):

Help Please :)

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

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

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 %

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 :)

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 = ?

OpenStudy (anonymous):

x^2 = 279? o.0

ganeshie8 (ganeshie8):

thats right !

ganeshie8 (ganeshie8):

so.. \(x = \sqrt{279}\)

OpenStudy (anonymous):

so 16.7

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