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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

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1 point
Amanda [17]

Answer:

1935

Explanation:

32,000-15,000 = 17,000

17,000 x 0.075 = $1275 (this is his commission)

1275 + 660 = $1935

$1935 is his gross income for the month

5 0
3 years ago
Annual maintenance cost for a particular section of highway pavement are $3,000.The placement of a new surface would reduce the
UkoKoshka [18]

Answer:

$17,877

Explanation:

initial outlay = ?

net cash flows years 1 to 5 = $3,000 - $400 = $2,600

net cash flows years 6 to 10 = $3,000 - $800 = $2,200

assuming that the discount rate is 6%, we need to determine the maximum amount of initial investment that would result in the NPV = 0

in order to do this we have to calculate the present value of the future cash flows:

PV = $2,600/1.06 + $2,600/1.06² + $2,600/1.06³ + $2,600/1.06⁴ + $2,600/1.06⁵ + $2,200/1.06⁶ + $2,200/1.06⁷ + $2,200/1.06⁸ + $2,200/1.06⁹ + $2,200/1.06¹⁰ = $17,877

that means that the maximum amount that can be invested = $17,877, and that way the NPV = 0

7 0
3 years ago
An account is defined as a record of the business activities related to a particular item. True or false?.
Natalka [10]

An account is defined as a record of the business activities related to a particular item. The given statement is true.

Business activities can be divided into three categories: operating, investing, and financing. The cash flow statement includes a list of the cash flows that were generated and used by each of these operations. Net income on an accrual basis is supposed to be reconciled to cash flow in the cash flow statement.

Manufacturing, storage, accounting, sales, mergers and acquisitions, the issue of securities, etc. are some examples of business activities. The prompt completion of these tasks enables the businesses to survive and compete in the market.

Learn more about business activities here

brainly.com/question/7924898

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3 0
1 year ago
Does geico provide roadside assistance even if you don't have coverage
iVinArrow [24]
No, Geico offers free towing for customers who have the company’s roadside assistance coverage
8 0
3 years ago
BatCo makes metal baseball bats. Each bat requires 1 kg of aluminum at $18 per kg and 0.25 direct labor hours at $20 per hour. O
aalyn [17]

Answer:

Cost variance= 7 unfavorable

Explanation:

Giving the following information:

Each bat requires 1 kg of aluminum at $18 per kg and 0.25 direct labor hours at $20 per hour. Overhead is assigned at the rate of $40 per direct labor hour. Assume the actual cost to manufacture one metal bat was $40.

Estimated cost= 18 + 0.25*20 + 0.25*40= 33

Actual cost= 40

Cost variance= 7 unfavorable

5 0
3 years ago
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