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3 years ago

Find the volume of this cylinder.Use pi=3.14

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

5 0

You find the volume dummy

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Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is described by the formula below. C(

Ad libitum [116K]

Answer:

a) The marginal cost function is given by

C'(x) = 4 + 0.04x + 0.0003x² (in dollars)

b) C'(70) = $8.27

Step-by-step explanation:

C(x) = 1000 + 4x + 0.02x² + 0.0001x³

a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.

Mathematically,

MC = (dC/dx) = C'(x)

For this question,

C'(x) = 4 + 0.04x + 0.0003x²

b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.

C'(x) = 4 + 0.04x + 0.0003x²

C'(70) = 4 + 0.04(70) + 0.0003(70²)

C'(70) = $8.27

Hope this helps!

8 0

3 years ago

What is the value of the digit 8 of 803,004,913,256

jarptica [38.1K]

One hundred billion.

3 0

3 years ago

Read 2 more answers

How to write out 314,207

vodomira [7]

Three hundred fourteen thousand, two hundred seven. hope this helps

8 0

3 years ago

Read 2 more answers

What is the slope of the line that goes through the points (7,10) and (3,-3)

PilotLPTM [1.2K]

Ypu would subtract Y from the other points Y
$- 3 - 10 = - 13$
Then you would subtract X from the ither points X.
$3 - 7 = - 4$
Then you would put the Y value over the X
$\frac{ - 13}{ - 4}$
Then simiplify
$\frac{13}{4}$

7 0

3 years ago

Read 2 more answers

Patricia and Joe Payne are divorced. The divorce settlement stipulated that Joe pay $485 a month for their daughter Suzanne unti

zhuklara [117]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array} &
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &
\begin{array}{llll}
485\cdot 12\\
\underline{5280}
\end{array}\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{a year, thus once}
\end{array}\to &1\\

t=years\to &4
\end{cases}
\\\\\\
$

$\bf A=5280\left[ \cfrac{\left( 1+\frac{0.06}{1} \right)^{1\cdot 4}-1}{\frac{0.06}{1}} \right]$

Joe is making $485 payments monthly, but the amount gets interest on a yearly basis, not monthly, so the amount that yields interest is 485*12

also, keep in mind, we're assuming is compound interest, as opposed to simple interest

3 0

3 years ago