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Montano1993 [528]
3 years ago
8

A particular​ country's exports of goods are increasing exponentially. The value of the​ exports, t years after 2007​, can be ap

proximated by ​V(t)equals1.5 e Superscript 0.039 t where tequals0 corresponds to 2007 and V is in billions of dollars. ​a) Estimate the value of the​ country's exports in 2007 and 2012. ​b) What is the doubling time for the value of the​ country's exports?
Business
1 answer:
Olegator [25]3 years ago
7 0

Answer:

V(t) = $ 1.5 billion for 2007

V(t) = $1.5 billion, 295 million. For 2012

Doubling time = t = 177.69 yrs

Explanation:

a).

V(t) = 1.5e^(0.039t)

For the first year 2007, t= 0

V(t) = 1.5e^(0.039*0)

V(t). = 1.5e^0

V(t) =. 1.5*1 = 1.5

V(t) = $ 1.5 billion for 2007

For 2012 that is 5 years after,t= 5

V(t) = 1.5e^(0.0039*5)

V(t) = 1.5e^ (0.0195)

V(t) = 1.5(1.019691367)

V(t) = 1.5295

V(t) = $1.5 billion, 295 million.

b). Doubling time is when the value of the export is 1.5 *2 =$ 3 billion

3 = 1.5e^(0.0039t)

3/1.5= e^(0.0039t)

2 = e^0.0039t

In 2 = 0.0039t

0.693= 0.0039t

t = 177.69 yrs

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3 years ago
FedEx Corp stock ended the previous year at $103.39 per share. It paid a $0.35 per share dividend last year. It ended last year
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Explanation:

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6 0
3 years ago
A 3-year project is expected to produce a cash flow of $82,400 in the first year and $148,600 in the second year. The project ha
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3 0
3 years ago
Barry, a solvent individual but a recovering alcoholic, embezzled $6,000 from his employer. In the same year that he embezzled t
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Answer: Barry must include $6,000 in gross income from discharge of indebtedness

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Feom the question above, we are told that Barry embezzled $6,000 from his employer and that even though his employer discovered the theft, the employ did not fire him and told him that he did not have to repay the $6,000 if he attend Alcoholics Anonymous. Barry met the conditions and the employer canceled the debt.

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7 0
3 years ago
Meiji Isetan Corp. of Japan has two regional divisions with headquarters in Osaka and Yokohama. Selected data on the two divisio
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Answer:

Please check the info below

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2. The correct answer is  

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3. The correct answer is No

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