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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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3 years ago
Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we
Phoenix [80]

<u>Answer-</u>

Set of constraints to model the problem are,

12x+9y\geq 510

y \leq 2x

y \geq 25

<u>Solution-</u>

<em>x = the number of lawns weeded by Gwen,</em>

<em>y = the number of dogs walked by Fabio.</em>

1.

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

\text{Earnings of Gwen} = 12x

\text{Earnings of Fabio} = 9y

\text{Total earning} = 12x+9y

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

The equation for this is,

12x+9y\geq 510

2.

The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

y \leq 2x

3.

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

y \geq 25



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Answer:

Hope this solution helps you

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