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11111nata11111 [884]
3 years ago
11

The revenue, in millionsmillions of dollars, for a company in year tt is given by the function: r(t)=15e0.19t,0≤t≤15 r(t)=15e0.1

9t,0≤t≤15 and the cost, in millions billions of dollars, to run the company in year tt is approximated by: c(t)=12e−0.03t,0≤t≤15 c(t)=12e−0.03t,0≤t≤15 where tt is the number of years after january 1st of the year 20002000. what was the net profit (in millionsmillions of dollars) for the company from january 1st in the year 20002000 until january 1st in the year 20072007
Business
1 answer:
Maslowich3 years ago
5 0
The net profit of the company in this case is given by the subtraction of the income minus the costs.
 We have then:
 b (t) = r (t) - c (t)
 b (t) = 15 * e ^ (0.19 * t) - 12 * e ^ (- 0.03 * t).
 We must determine the number of years.
 from january 1st in the year 2000 until january 1st in the year 2007:
 t = 2007-2000 = 7.
 We have then evaluating t = 7 in the function:
 b (7) = 15 * e ^ (0.19 * 7) - 12 * e ^ (- 0.03 * 7).
 b (7) = 46.99 millions of dollars
 answer:
 the net profit was 46.99 millions of dollars
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The YTM on a 2 year zero coupon bond is 5% and the YTM on a 1 year zero coupon bond is 3%. What does the no-arbitrage condition
tresset_1 [31]

Answer:

<em>$111.11 or 111.11% of face value</em>

Explanation:

Assuming the face value of $100 for all bonds (without loss of generality)

If the two year coupon bond is repackaged as a one year zero coupon bond paying $12 after one year and another two year bond paying $112 after 2 years, the price of the two zero coupon bonds are given as

Price of one year Zero coupon bond = 12/1.05 = $11.43 (one year ZCB has YTM of 5%)

Price of two year Zero coupon bond = 112/1.06^2 = $99.68 (two year ZCB has YTM of 6%)

So, one can sell the repackaged bonds at a price = $11.43+ $99.68 = $111.11 or 111.11% of face value

7 0
2 years ago
Pizza Pier retires its 8% bonds for $70,100 before their scheduled maturity. At the time, the bonds have a face value of $72,100
mariarad [96]

Answer: Please refer to Explanation

Explanation:

DR Bonds Payable ............... $ 72,100

DR Premium on Bonds Payable (74,950 - 72,100) ...... $2,850

CR Cash ...................................... $70,100

CR Gain on Discharge of Bonds ($74,950 - $70,100) $4,850

(To record retirement of premium bond before time)

If you need any clarification do comment.

5 0
3 years ago
Which of the following best describes marketing mix? It is the blend of marketing strategies for product, price, distribution, a
aniked [119]

Answer:

It is the blend of marketing strategies for product, price, distribution, and promotion

Explanation:

Marketing mix describes strategies used by a company to promote its brand or product. A marketing mix is made up of Price, Product, Promotion and Place.

8 0
3 years ago
You have $11,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 15 percent and Stock Y with
iogann1982 [59]

Answer:

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  • Invest $2,530 in Y.

Explanation:

The following expressions can be formed;

Let x and y be the proportions

x + y = 1

0.15x + 0.1y = 13.85%

Expressing y in terms of x;

x + y = 1

y = 100 - x

0.15x + 0.1 ( 1 - x) = 13.85%

0.15x + 0.1 - 0.1x = 13.85%

0.05x = 13.85% - 0.1

x = 13.85%0.05 - 0.1/0.05

x = 77%

Invest 77% in X = 77% * 11,000

= $8,470‬

Invest in Y

= 11,000 - 8,470

= $2,530

5 0
3 years ago
Which of the following statements help to explain why, in the real world, the Fed cannot precisely control the money supply?
Rainbow [258]

Answer:

The correct answer is option a and c.

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At the same time, the feds cannot control the amount of money that the households decide to hold as currency which also affects the money supply.

The amount of excess reserves a bank decides to hold affects the deposit-reserve ratio. While the amount of money that households decide to hold affects the currency deposit ratio. Both of these ratios affect the money supply.

8 0
3 years ago
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