#anyone knows how to do this

21 messages · Page 1 of 1 (latest)

autumn lark
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A young trader receives £7509 a year interest from investing £60,000 in two bonds. One bond pays 7% and the other pays 20%. How much is invested in each bond? State your answers to the nearest pence.

tawdry ivyBOT
autumn lark
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<@&286206848099549185>

worthy cradle
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lemme try to do it first

autumn lark
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Ok

worthy cradle
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it might take sometime please wait

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denote the amount that we investe in the 7% bond as
60,000
x, and the amount invested in the 20% bond as
60,000 − 60,000−x since the total investment is £60,000.

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and the interest from the 7% thingy is 0.07x and the interesst from the 20% is gonna be calculate by 0.20 x (60,000 - x)

autumn lark
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OK is that it?

worthy cradle
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then the total interest we recieved is 7509 bond -> set up equations
0.07x + 0.20 x (60,000−x) = 7509

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then u solve x

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the amount invested in the 7% bond is approximately £26,846.15, and the amount invested in the 20% bond is 60,000 - 26,846.15 = 33,154 -> 33,153.8
therefore, the trader has invested approximately £26,846.15 in the 7% bond and £33,153.85 in the 20% bond.

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thats it

autumn lark
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Thanks

autumn lark
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@worthy cradle sorry one more thing to solve x did u put it on a calculator or did it urself

worthy cradle
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thats the reason i cant tell u answer directly too

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u can ask if u cant do it, ill tell how

autumn lark
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Ye could you help me on thag

worthy cradle
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um sure

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first u need to do 0.07x + 12,000 - 0.20x = 7509

then its gonna be like this -0.13x = -3491
then divide by -0.13 then ull get the X by

x = -3491/-0.13 = approximately 26,846.15