You invest $3,500 at 10% compounded annually for 3 years. How much will your investment be worth in 3 years

Suppose that the inverse demand for San Francisco cable car rides is p=10-(Q/1000), where p is the price per ride and Q is the n

Yuki888 [10]

Answer:

Explanation:

Revenue is given by the number of rides per day (Q) multiplied by the price per ride (p):

$r=Q*p=Q*(10-\frac{Q}{1000}) \\R=10Q-\frac{Q^2}{1000}$

The number of rides 'Q' for which the derivate of the revenue function is zero is the revenue-maximizing number of rides:

$R(Q)=10Q-\frac{Q^2}{1000}\\R'(Q) = 0 = 10-\frac{Q}{500}\\Q=5000\ rides$

The price per ride at an activity of 5000 rides per day is:

$p(5,000) = 10 - \frac{5,000}{1,000}\\p=\$5$

Therefore, the revenue-maximizing price is $5

3 0

3 years ago

The manufacturing shop is producing custom photo imprinted mouse pads for clients. The startup equipment cost $400. A mouse pad

Grace [21]

Answer:

$c(x) =400 + 3x$

$r(x) = 12x$

$x = 44.44$

Explanation:

Given

Cost

$Equipment = 400$

$Production = 3$ per mouse pad

Revenue

$Sales\ Price = 12$

Solving (a): The cost function

Let the number of mouse pad be x and the cost function be c(x).

$c(x) =Equipment + Production * x$

$c(x) =400 + 3 * x$

$c(x) =400 + 3x$

Solving (b): The revenue function

Represent this with r(x)

$r(x)= Sales\ Price * x$

$r(x)= 12 * x$

$r(x)= 12 x$

Solving (c): The break-even point

This is the point where r(x) = c(x)

So, we have:

$12x = 400 + 3x$

Collect Like Terms

$-3x+12x = 400$

$9x = 400$

Solve for x

$x = \frac{400}{9}$

$x = 44.44$

8 0

3 years ago

Simon purchases a bond, newly issued by Amalgamated Corporation, for $1000. The bond pays $60 to its holder at the end of the fi

monitta

Answer and Explanation:

The computation is shown below:

a. The principal amount is $1,000

The term is 3 years

The coupon rate is 6%

So, the coupon payment is

= $1,000 × 6%

= $60

b. At the closing of the second year, the remaining amount i.e. paid should be

= $1,000 + $60

= $1,060

Now if the rate of interest is 3%

So, the amount of $1,060 one year from today is

= $1,060 ÷ 1.03

= $1,029

And, if the rate of interest is 8%

So, the value of the bond today is

= $1,060 ÷ 1.08

= $981

And, if the rate of interest is 10%

So, the amount of the today bond is

= $1,060 ÷ 1.10

= $964

c. In the case of the bad news related to the amalgamated corporation

that results in the financial investors to have terror that the firm may be go to bankrupt because of non -payment of debt. In the case when the amount of $1,060 is not made so the financial investor would not be pay $1,000 as they are well known that they can earn 6% without have any risk

7 0

3 years ago

Brad, Scott, and Jake each contribute property to form BSJ Corporation. Brad contributes a building with a fair market value of

Talja [164]

Answer:

The answer is $700,000

Explanation:

From the example given, we find the tax basis will each take in their respective BSJ stock

Contributions done partner wise (All values in $)

Partner Contribution Tax Share in Stock % of Tax Base Tax base in stock

Name Base

Brad 450000 100000 45% 17% 120689.7

Scott 100000 350000 45% 60% 422413.8

Jake 150000 130000 10% 22% 156896.6

700000 580000 100% 700000

Therefore, The Total Assets contributed will be equivalent to stock of BSJ issued = $ 700,000

5 0

3 years ago

_________ suggests that in the first stage innovations are produced in the home developed country; in the second stage they are

nika2105 [10]

Answer:

The answer is: Vernon's Product Life Cycle theory

Explanation:

Product Life Cycle theory was developed to describe the observed pattern of the international trade. This theory was given by Raymond Vernon and the Product Life Cycle has four stages:

1. The introduction stage: Introducing or launching new product in the local market.

2. The growth stage: Strong demand of products and increase in the sales, which increases the profits. The product are exported to other high-income developed countries.

3. The maturity stage: The production is moved to the developed countries.

4. The decline stage: The production of the products begins moves in the low-wage developing countries.

3 0

3 years ago