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Mila [183]
3 years ago
11

Timmy has three times as much money invested at 5% bonds as he has in stocks paying 7%. If his annual income from the stocks and

bonds is $158.40, how much has he invested in bonds?
Mathematics
1 answer:
Art [367]3 years ago
4 0
Let b repesent the amount Timmy has invested in bonds. Then b/3 represents the amount Timmy has invested in stocks. His earnings are
  158.40 = 0.05*b + 0.07*(b/3)
  158.40 = (0.22b)/3 . . . . . . . . . . combine terms
  158.40*3/0.22 = b = 2160

Timmy has $2160.00 invested in bonds.
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Answer: Time taken by him in going = 8 hours

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Step-by-step explanation:

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And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

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⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

⇒ 2x=720

⇒ x=360\text{ miles}

Hence, the total distance from home to New York = x miles = 360 miles

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

=\frac{360}{45}=8\text{ hours}

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

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