Provide the economic term/concept for this description. *NO ABBREVIATIONS*

A company’s total monthly sales (in millions of dollars) t months from now are given by:

Elina [12.6K]

Answer:

a) $\frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3$

b) $S(4) = 0.5*(4^2) +3(4) -5=15 million$

c) For this case we have the total sales $ 15 millions after t =4 months

d) $S'(4) = 4+3 = 7 million$

e) This value represent the increase in the amount of sales in millions after t=4 months

Explanation:

For this case we have the following function for the sales

$S(t) = 0.5 t^2 +3t -5$

Part a

For this case we want to find the derivate of S respect to t and we got:

$\frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3$

Part b

For this case we want to find the value of S when t = 4 so if we replace we got:

$S(4) = 0.5*(4^2) +3(4) -5=15 million$

Part c

For this case we have the total sales $ 15 millions after t =4 months

Part d

For this case we just need to replace t=4 in the derivate and we got:

$S'(4) = 4+3 = 7 million$

Part e

This value represent the increase in the amount of sales in millions after t=4 months

3 0

3 years ago

Today is your 20th birthday, and your parents just gave you $5,000 that you plan to use to open a stock brokerage account. You p

Alex Ar [27]

Answer:

You anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

Explanation:

To calculate this, we use the formula for calculating the future value (FV) and FV of ordinary annuity as appropriate as given below:

FVd = D * (1 + r)^n ......................................................................... (1)

FVo = P * {[(1 + r)^n - 1] ÷ r} ...................... (2)

Where,

FVd = Future value of initial deposit or balance amount as the case may be = ?

FVo = FV of ordinary annuity starting from a particular year = ?

D = Initial deposit = $5,000

P = Annual deposit =s $500

r = Average annual return = 12%, or 0.12

n = number years = to be determined as necessary

a) FV in five years from now

n = 5 for FVd

n = 4 for FVo

Substituting the values into equations (1) and (2), we have:

FVd = $5,000 * (1 + 0.12)^5 = $8,812

FVo = $500 * {[(1 + 0.12)^4 - 1] ÷ 0.12} = $2,390

FV5 = Total FV five years from now = $8,812 + $2,390 = $11,201

FVB5 = Balance after $5,000 withdrawal in year 5 = $11,201 - $5,000 = $6,201.

b) FV in 10 years from now

n = 10 - 5 = 5 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB5 = $6,201 * (1 + 0.12)^5 = $10,928

FVo = $500 * {[(1 + 0.12)^5 - 1] ÷ 0.12} = $3,176

FV10 = Total FV 10 years from now = $10,928 + $3,176 = $14,104

FVB10 = Balance after $10,000 withdrawal in year 10 = $14,104 - $10,000 = $4,104

c) FV in 45 years from now

n = 45 - 10 = 35 for both FVd and FVo

Using equations (1) and (2), we have:

FV of FVB10 = $4,104 * (1 + 0.12)^35 = $216,690

FVo = $500 * {[(1 + 0.12)^35 - 1] ÷ 0.12} = $215,832

FV45 = Total FV 45 years from now = $216,690 + $215,832 = $432,522

Conclusion

Therefore, you anticipate that you will have $432,522 in the account on your 65th birthday, following your final contribution.

5 0

3 years ago

Drag the Low risk and High risk project points so their expected rates of return are 9% and 11%, respectively. If you could choo

valkas [14]

Answer:

a. Project Low because its expected rate of return is higher than its WACC

Explanation:

Weighted Average Cost of Capital WACC determines firms cost of capital. It includes all sources of finance which are included in firm capital structure. The expected rate of return is the rate at which a project is able to generate return or benefits. For any project to be beneficial, its expected return should be higher than its WACC. We will select project Low because its expected rate of return is higher than its WACC.

6 0

2 years ago

A study examined the employment benefits of getting a PhD degree.PhD degree. The researchers made inferences based on employment

ss7ja [257]

Answer:

Option D

Explanation:

This is the group whom the researcher wants to know more about and to draw inference from.

8 0

3 years ago

Dure Inc. is an athletic shoe-making company in the United States. It successfully sells the same range of shoes in all its inte

Vlad [161]

Answer: Global segmentation

Explanation:

The global segmentation is one of the type of process in which the consumers or users are get grouped on the basis of their similar needs and the requirements.

In the global segmentation process we categorized the or divide the various types of customers into the different types of groups according to their specific interest related to the products and the services in the market.

The following are some benefits of the global segmentation are as follows:

Providing various types of market opportunities
Better usage of the resources
Profitability

Therefore, Global segmentation is the correct answer.

5 0

3 years ago