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
katen-ka-za [31]
3 years ago
10

In 1923, koalas were introduced on kangaroo island off the coast of australia. In 1996, the population was 5000. By 2005, the po

pulation had grown to 27 number , 000, prompting a debate on how to control their growth and avoid koalas dying of starvation.1 assuming exponential growth, find the (continuous) rate of growth of the koala population between 1996 and 2005. Round your answer to one decimal place.
Business
1 answer:
zzz [600]3 years ago
6 0

Answer: The continuous growth rate of koalas is 18.7%.

We use the formula for continuous growth to find the rate of growth. The formula is:

Population_{2007} = Population_{1996}*e^{rt}

Substituting the values we get,

26000 = 5000*2.71828^{9r}

\frac{26000}{5000} = 2.71828^{9r}

5.4 = 2.71828^{9r}

We can solve this equation further by taking the normal log of both sides of the equation.

ln5.4 = 9r * ln2.71828

1.686398954=9r*0.999999327

1.686398954=8.999993946r

\frac{1.686398954}{8.999993946} =r

0.187377788 = r

You might be interested in
O'Brien Ltd.'s outstanding bonds have a $1,000 par value, and they mature in 25 years. Their nominal yield to maturity is 9.25%,
kozerog [31]

Answer:

8.99%

Explanation:

For this question we use the PMT function that is presented on the excel spreadsheet. Kindly find it below:

Given that,  

Present value = $975

Future value = $1,000

Rate of interest = 9.25%  ÷ 2 = 4.625%

NPER = 25 years × 2 = 50 years

The formula is shown below:

= PMT(Rate,NPER,-PV,FV,type)

The present value come in negative

So, after solving this, the PMT is $44.96

Now the annual PMT is

= $44.96 × 2

= $89.92

So, the coupon interest rate is

= $89.92 ÷ $1,000

= 8.99%

4 0
3 years ago
Fundamentals of Supply are view for the point of the
ivanzaharov [21]

Answer:

Supply side is the view point of the Firms or the Businesses.

Explanation:

As the law of demand deals with the consumers side, the law of supply deals with the suppliers or the firms/businesses.

this tries to explain the factors that affect the supply, such as the prices of the substitutes and complements, the price of a commodity itself, taxes, government subsidies, technological influences, etc...

in this question, the 1st option, consumer is wrong. However, in certain situations, Government can be acted as a "supplier" (if there is a government monopoly on the supply of a good or a service", and government is a heavy influencer of supply through the implementaion of taxes and subsidies!  

5 0
3 years ago
What is Jared's accounting profit? Suppose Jared could have used his talents to run a similar kind of business instead. If he va
Deffense [45]

Answer:

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

<em>After working as a head chef for years, Jared gave up his $60,000 salary to open his own restaurant last year. He withdrew $50,000 of his own savings that had been earning 4% interest and borrowed another $100,000 from the bank at a rate of 5%. As the restaurant space he was leasing had no separate office, Jared converted his basement apartment into office space. He had previously rented the apartment to a student for $300/month. The following table summarizes his operations for the past year. </em>

<em>Total sales revenue    $590,000       </em>

<em>  Employee wages $120,000   </em>

<em>  Materials                 $350,000   </em>

<em>  Interest on loan $5,000   </em>

<em>  Utilities                 $10,000   </em>

<em>  Rent                 $25,000   </em>

<em>Total explicit costs              $510,000 </em>

<em>a, What is Jared's accounting profit? </em>

<em>b, Suppose Jared could have used his talents to run a similar kind of business instead. If he values his entrepreneurial skill at $10,000 annually, find Jared's total implicit costs. </em>

<em>c, What was Jared's economic profit last year?</em>

My answer:

a. , What is Jared's accounting profit?

As we know that accounting profit is the difference between total sales revenue and Total explicit cost, from the table we can find that:

$590,000  - $510,000  = $80,000 is the accounting profit

b. Jared's total implicit costs.

Implicit costs include his foregone wages ($60,000), the value of his entrepreneurial skill ($10,000), foregone rent on the apartment ($3,600 = 12 x $300) plus the foregone interest on his savings ($2,000 = .04 x $50,000). These total $75,600.

c. What was Jared's economic profit last year?

Explicit plus implicit, was $585,600 = $510,000 + $75,600. His economic profit is the difference between revenue and economic cost, or $4,400 (= $590,000 – $585,600).

8 0
3 years ago
A price change causes the quantity demanded of a good to decrease by 30%, while the total revenue of that good increases by 15%.
Furkat [3]
True the answer is true
4 0
3 years ago
A norm is a behavioral role of conduct agreed upon by over one half of the group in order to establish behavioral consistency wi
FinnZ [79.3K]

Answer:

a. True

Explanation:

This statement is true as a norm is a widely accepted behavior or standard of doing things that <em>most people</em> in a society/group agree with. '<em>Over half  of the group' </em>can be considered as a majority . It is basically an informal guide on what is considered correct or incorrect and is about the behaviors of that aforementioned group.

5 0
3 years ago
Other questions:
  • The market mechanism benefits society by ensuring that ________.
    10·2 answers
  • What is morale?
    8·1 answer
  • He difference between the largest and the smallest data values is the
    7·1 answer
  • July Networks provides digital television services across the country. They have a cuttingedge technology that provides high-res
    13·2 answers
  • How can you manage conflicts between staff members in general?
    15·1 answer
  • Next year Baldwin plans to include an additional performance bonus of 0.25% in its compensation plan. This incentive will be pro
    6·1 answer
  • To participate in conservation efforts,
    15·1 answer
  • You need to hire a receptionist that will be handling cash. What steps would you take to make sure you hire the right person?
    7·1 answer
  • What type of bank account is best for everyday transactions?
    13·2 answers
  • Compared to a perfectly competitive firm, the demand schedule of a monopolistically competitive firm faces is:________
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!