1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Southeast Airline had retained earnings of $1.5 million, sales of $5 million and net income of $0.5 million this year. It also p
tatyana61 [14]

Answer:

$1.86 million

Explanation:

Given the above data, we can calculate the retained earning for next year to be;

Retained earning this year end = $1.5 million retained earning at the beginning + $0.5 million net income - $0.2 million dividends

= $1.8 million

8 0
3 years ago
Most informational reports are written a. by only top business executives. b. using the indirect organizational strategy. c. for
Aliun [14]
<h2>using formal writing style</h2>

Explanation:

Informational reports are written for the purpose of internal audience.

A formal writing style consists of the following:

  • It will be written using active voice
  • Will avoid vague language
  • Sentences will be crisp and clear. No too lengthy sentences are allowed
  • Abbreviations will not be present
  • Sentences will include items expressed in a positive way
  • There will not be any exaggeration of pointers
  • No exclamation mark will be outside the quotation marks.
8 0
4 years ago
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
3 years ago
Describe two disadvantages of early forms of money, and explain how they could have been fixed.
Katen [24]

Answer:

The early system of money was the barter exchange system where the commodities were exchanged for other's commodities. The major disadvantages were:

  1. Lack of Double Coincidence of Wants:

It is fundamental for an individual who wishes to exchange his good/service to locate some other individual who isn't just eager to purchase his good/service, yet in addition has that good which the former needs.  This could be fixed if seller finds a buyer who has the same good that is needed so both exchange goods that the other needs.

    2. Lack of a Common Measure of Value:

Regardless of whether the two people who need each other's merchandise meet unintentionally, the issue emerges with regards to the extent in which the two products ought to be traded. There being no basic proportion of significant worth, the rate of trade will be discretionary fixed by the power of interest for one another's merchandise. This could be fixed if both parties decide the goods they wish to trade.

8 0
3 years ago
High marginal tax rates will a. increase the incentive of people to earn. b. make it expensive for taxpayers to purchase tax ded
Lubov Fominskaja [6]

Answer:

The correct answer is option c.

Explanation:

High marginal tax rates mean that people will have to pay higher taxes. This may lead to a situation where people are working but are able to earn less than what they could have earned if the tax rates would be the case if marginal tax rates were lower.  

This happens because a major part of the income has to be paid as taxes when the marginal tax rates are high.

8 0
3 years ago
Other questions:
  • Sparky Corporation uses the FIFO method of process costing. The following information is available for February in its Molding D
    12·1 answer
  • Traffic patterns are important in room design and should take potential furniture placement into account true or faolse
    10·2 answers
  • • Now imagine that you bought a mutual fund that had a beginning NAV of $10 per share. It paid dividends of $0.50 and distribute
    15·2 answers
  • Mogul Company ships merchandise to Ski Outfit in a consignment arrangement. The arrangement specifies that Ski Outfit will attem
    7·1 answer
  • Why do mortgage brokers normally have no risk in the mortgage process? A. The broker usually does not loan the money. B. The mor
    8·1 answer
  • In 2020, Ada lived with her son, Robert, and his wife, Barbara. Ada’s only source of income was a $1,500 fully taxable pension,
    7·1 answer
  • According to Uniform Commercial Code (UCC) Section 3-312, a certified check or a cashier's check is fully recoverable if the che
    13·1 answer
  • Refer to the Article Summary. Implementing a negative interest rate policy, as is discussed in the article summary, would be des
    11·1 answer
  • Rideshare, an on-demand transportation company, offers free rides to political marches for its ridership. this decision is a ___
    14·1 answer
  • you invest $15,000 at an annual rate of 8.25or one year. what is the difference in interest earned if your investment is compoun
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!