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3 years ago

Which statements are correct? Select two that apply.

Mathematics

2 answers:

Scilla [17]3 years ago

7 0

C.......................

kondor19780726 [428]3 years ago

4 0

Answer: C

Step-by-step explanation:

I did this

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Bob just turned 66 years old and is considering retirement. His average annual salary over the last 35 years is $50,760. Assumin

vova2212 [387]

50,760*.42 = $21,319.20

8 0

3 years ago

Read 2 more answers

Simplify (5 to the power of 1/3) to the power of 3

Sladkaya [172]

Answer:

Step-by-step explanation:

Multiply the exponents

Reduce the gcf

Hope ghis helps! :)

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3 years ago

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The management of Ditton Industries has determined that the daily marginal revenue function associated with selling x units of t

barxatty [35]

Answer:

(a) The daily total revenue realized from the sale of 210 units of the toaster oven is $6,195.

(b) The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is $1,400.

Step-by-step explanation:

The marginal revenue gives the actual revenue realized from the sale of an additional unit of the commodity given that sales are already at a certain level. The derivative <em>R'</em> of the function <em>R</em> measures the rate of change of the revenue function.

We know that the daily marginal revenue function is given by

$R'(x) = -0.1x+40$

(a) To find the the daily total revenue you must:

Integrate the daily marginal revenue function,

$\int R'(x)dx = \int(-0.1x+40)dx\\\\R(x)=-\int \:0.1xdx+\int \:40dx\\\\R(x)=-0.05x^2+40x+C$ ,

where C is a constant.

Find the value of C, using the fact that if you sell 0 units your daily revenue is $0.

$0=-0.05(0)^2+40(0)+C\\C=0$

$R(x)=-0.05x^2+40x$

The daily total revenue realized from the sale of 210 units of the toaster oven is

x = 210 units

$R(210)=-0.05(210)^2+40(210)\\R(210)=-210^2\cdot \:0.05+8400\\R(210)=-2205+8400\\R(210)=6195$

(b) To find the additional revenue realized when the production (and sales) level is increased from 210 to 310 units you must:

Find the daily total revenue realized from the sale of 310 units

$R(310)=-0.05(310)^2+40(310)\\R(310)=-310^2\cdot \:0.05+12400\\R(310)=-4805+12400\\R(310)=7595$

The additional revenue realized when the production (and sales) level is increased from 210 to 310 units is

$R(310)-R(210)=7595-6195=1400$

3 0

4 years ago

You have 10 liters of juice that is 40% juice and 60% water. You want the mixture to be 70% juice and 30% water. How many liters

damaskus [11]

Answer:

14 liters

Step-by-step explanation:

10 liters : 4 liters of juice and 6 liters of water

4/10 of juice and 6/10 of water

make it to 70% of juice and 30% of water

add 14 liters of juice

14/20=70% of juice

6/20=30% of water

4 0

4 years ago

20.Solve the triangle: b = 100, c = 100, y = 70". If it is not possible, say so.This triangle is not solvable.Q = 40", a = 68.4,

saveliy_v [14]

Answer:

$\begin{gathered} \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \\ a=68.4 \end{gathered}$

Step-by-step explanation:

By the theorem of intern angles of a triangle, we know that the sum of all intern angles of a triangle must be 180°, therefore:

*There are two equal angles because there are two equal sides

$\begin{gathered} \alpha=180-70-70 \\ \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \end{gathered}$

Now, applying the law of sines, we can find side a. The law of sines is represented by the following equation:

$\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}$

Hence, if b=100, alpha=40° and betha=70°, solve for a:

$\begin{gathered} \frac{a}{\sin (40)}=\frac{100}{\sin (70)} \\ a=\frac{100\cdot\sin (40)}{\sin (70)} \\ a=\text{ 68.4} \end{gathered}$

7 0

1 year ago