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3 years ago

The radius of a circle is 4 feet. What is the circle's circumference?Use 3.14 for r=4 ft

Mathematics

1 answer:

Lady_Fox [76]3 years ago

5 0

Answer:

50.24 is the circumfrence

If we were to use actual pi the answer would be -

50.26548246

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Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

17. New Schools expects an EBIT of $100,000 every year forever. The firm currently has no debt, and its cost of equity is 10 per

Natali5045456 [20]

Answer:

$880,000

Step-by-step explanation:

First note that the full meaning of EBIT is earning before interest and tax.

When the company does not have debt, it called unlevered (VU), while a company that has debt is called levered (VL) company. The VU and the VL of the company can be calculated using the VU and VL formula as follows:

Step 1. Calculation of VU

VU = [EBIT × (1 - tax rate)] ÷ cost of equity

= [$100,000 × (1 - 0.20)] ÷ 0.10

= [$100,000 × 0.80] ÷ 0.10

= $80,000 ÷ 0.10

= $800,000

Step 2. Calculation of VL

VL = VBC + (tax rate × conversion rate × VU)

= $800,000 + (0.20 × 0.5 × $800,000)

= $800,00 + $80,000

= $880,000

Therefore, the value of the firm will be $880,000 if it is converted to 50 percent debt.

3 0

3 years ago

Which functions have a horizontal asymptote? Y = f(x) y = h(x) y = g(x) y = k(x) On a coordinate plane, 4 exponential functions

Fed [463]

Answer:

Is all of them !!

Step-by-step explanation:

Because they all have asymptote

5 0

3 years ago

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How we use math in construction?

fgiga [73]

Math is used in construction everywhere.Math is used in construction to measure parts, how many feet, inches, etc. to do and how high to go up.A great example is in the scaling of blueprints, where an architect creates a scale model of the building so that it can fit on paper.

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3 years ago

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There are 623 steps in Castle A There are 245 more steps in Castle B than in Castle A. How many steps are there in Castle B

olasank [31]

There would be 868 steps. since there is 245 MORE steps in castle be than in castle a, you would have to add 623 to 245

7 0

3 years ago

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