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Nataly [62]
2 years ago
7

A linguist had a gross income of $53,350 last year. If 17.9% of his income got withheld for federal income tax, how much of the

linguist's pay got withheld for federal income tax last year?
Mathematics
2 answers:
Helga [31]2 years ago
6 0
I think it would be 2,980.44693
zepelin [54]2 years ago
6 0
So to do this...you would just multiply the gross income (53350) by the tax rate (.179)
This will give you what amount of the money was withheld
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The shoe store manager borrowed $17,000.00 from the bank to purchase 1000 pairs of shoes. The bank charges a simple interest rat
-Dominant- [34]

Answer:

2550

Step-by-step explanation:

1) So he borrowed 17,000

2) Simple interest is 5%

3) so 0.05 *17000 = 850

4)It takes the manager 3 years so, 850*3=2550

5) so 2550 is the total amount of interest the manager needs to pay

7 0
2 years ago
When Katie was visiting her grandpas farm she saw the farm only raised hands and pigs. Katie counted 32 heads and 100 feet in th
QveST [7]

There were 14 hens and 18 pigs in the backyard

Step-by-step explanation:

Katie was visiting her grandpas farm

  • She saw only hens and pigs
  • Katie counted 32 heads and 100 feet in the backyard

We need to find how many hens and pigs in the backyard

Assume that there are x hens and y pigs in the backyard

∵ There are x hens and y pigs in the backyard

∵ There are 32 heads

∴ x + y = 32 ⇒ (1)

∵ Each hen has 2 feet

∵ Each pig has 4 feet

∵ There are 100 feet

∴ 2x + 4y = 100 ⇒ (2)

Let us solve the system of equations to find how many hens and pigs

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -64 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 36

- Divide both side by 2

∴ y = 18

Substitute the value of y in equation (1) to find the value of x

∵ x + 18 = 32

- Subtract 18 from both sides

∴ x = 14

There were 14 hens and 18 pigs in the backyard

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#learnwithBrainly

8 0
2 years ago
The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hours. Foraging for a shorter t
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Answer:

Therefore F=2.387 hours gives a minimum value of energy expenditure E.

Step-by-step explanation:

Given that,

The energy expended by a bird per day

E=0.25 F+\frac{1.7}{F^2}

Differentiating with respect to F

E'=0.25 -\frac{3.4}{F^3}

Again differentiating with respect to F

E''=\frac{10.2}{F^4}

Now set E'=0

0.25 -\frac{3.4}{F^3}=0

\Rightarrow \frac{3.4}{F^3}=0.25

\Rightarrow F^3=\frac{3.4}{0.25}

\Rightarrow F=2.387

Now E''|_{F=2.387}=\frac{10.2}{2.387^4}>0

Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.

Therefore F=2.387 hours that minimizes energy expenditure.

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Archy [21]

Answer:

quadratic,711,increase

Step-by-step explanation: i got it right

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