Which term describes a distribution of the company’s assets back to the owners of the business?.

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by upper c equals 0.

Fantom [35]

Answer:

The cost per month is increasing at a rate $365.

Explanation:

Differentiation Formula

$\frac{d}{dx}(x^n)= nx^{n-1}$
$\frac{d}{dx}(a)=0$ [ where a is a constant]
$\frac{d}{dx}(ax^n)=a \frac{d}{dx}(x^n)= anx^{n-1}$

Given that,

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by

$c=0.2x^2+10,000$ .

Again given that,

the rate of changing production is 13 unit per month

i.e $\frac{dx}{dt}=13$

To find the cost per month, we need to find out the value $\frac{dc}{dt}$ when production is changing at the rate 13 units per month and the production is 70 units.

$c=0.2x^2+10,000$

Differentiating with respect to t

$\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)$

$\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)$

$\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0$

$\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}$

Plugging $\frac{dx}{dt}=13$

$\Rightarrow \frac{dc}{dt}=0.4x\times 13$

$\Rightarrow \frac{dc}{dt}=5.2x$

$\frac{dc}{dt}|_{x=70}=5.2\times 70$ [ plugging x=70]

=364

[ The unit of c is not given. Assume that the unit of c is dollar.]

The cost per month is increasing at a rate $365.

4 0

2 years ago

Which of the following is a false completion of the following: "Congress has the authority to declare war..."

Yakvenalex [24]

Answer: E. and exercise this authority with great frequency

Explanation:

The Congress has the authority to declare war but has not been exercising this authority with great frequency most times they are reluctant to declare war and has only declared eleven wars in the history of America.

They have rarely exercise this power one of the reasons being to cut down funding of war, they preferred to authorize presidential military action without a declaration of war.

8 0

3 years ago

Hotaling Corporation is analyzing a capital expenditure that will involve a cash outlay of $146,040. Estimated cash flows are ex

Molodets [167]

Answer:

The solution shows that a rate of return of 10% which provides an annuity factor of 4.868 generates an NPV which is equal to zero. Thus, our IRR or internal rate of return is 10%.

Explanation:

The IRR or internal rate of return is the rate at which NPV or Net Present Value of the investment becomes zero. We are provided with the initial outlay for the project and the annual cash inflows along with time period. Using the annuity factors given below, we need to find out the factor which makes the NPV zero. The NPV is calculated as follows,

NPV = Present Value of Cash Inflows - Initial Outlay

We can try out each annuity factor and see what NPV is generates.

1. 6% rate (Annuity factor = 5.582)

NPV = (30000 * 5.582) - 146040

NPV = $21420

2. 8% rate (Annuity factor = 5.206)

NPV = (30000 * 5.206) - 146040

NPV = $10140

3. 10% rate (Annuity factor = 4.868)

NPV = (30000 * 4.868) - 146040

NPV = $0

So, from the above solution we can see that a rate of return of 10% which provides an annuity factor of 4.868 generates an NPV which is equal to zero. Thus, our IRR or internal rate of return is 10%

4 0

3 years ago

For a given level of technology , we should expect an increase in labor productivity within a nation when there is an increase i

RoseWind [281]

C. natural resources per worker

7 0

2 years ago

Kevin Morales invests $14,963.72 now for a series of $2,200 annual returns beginning one year from now. Kevin will earn a return

4vir4ik [10]

Answer:

Answer= 9 years

Explanation:

Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate

14,963.72=2200[1-(1.06)^-n]0.06

14,963.72=36,666.67[1-(1.06)^-n]

1-(1.06)^-n=(14,963.72/36,666.67)

(1.06)^-n=1-(14,963.72/36,666.67)

(1/1.06)^n=0.591898545

Taking log on both sides;

n*log (1/1.06)=log 0.591898545

Hence n=log0.591898545/log (1/1.06)

=9 years.

7 0

2 years ago