# Assume the carrying capacity of the earth is 13 billion. Use the 1960s peak annual growth rate of 2.1​% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of 6.8 billion. How does the predicted growth rate compare to the actual growth rate of about 1.2​% per​ year?

The predicted growth rate is compared at  -2%

Explanation:

To calculate growth rate, G.R = X()

In the 1960s,

The carrying capacity of the earth = 13 billion

Earth's population = 3 billion

X =

X =

X = 0.021 × 0.77

X = 0.01617 = 1.6%

Current population calculation:

Growth Current population (C.p) =

Growth Current population (C.p) = 0.016

Growth Current population (C.p) = 0.016(-1.267)

Growth rate = -0.020272 = -2%

The predicted growth rate compare to the actual growth rate of about 1.2​% per​ year at -2%.

## Related Questions

The bottom-up approach for estimating times and costs that uses costs from past projects that were similar to the current project is known as

Explanation:

The bottom-up approach for estimating times and costs that uses costs from past projects that were similar to the current project is known as template method.

It should be noted that estimating time and cost are vital because it helps schedule work, develop needs of cash flow and show progress of a project.

The bottom-up approach for estimating costs and times using information from similar past projects is called analogous estimating. This method, used in project management, relies on previous experience and expert judgment.

### Explanation:

The method you're referring to is the analogous estimating. In project management, analogous estimating is a technique for estimating the duration or cost of an activity or a project using historical data from a similar activity or project. This bottom-up approach is most reliable when the previous activities are similar in fact and not just in appearance to the current activity. This technique relies heavily on experience, expert judgment, and the project history to predict costs and timelines for a new project.

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Vilas Company is considering a capital investment of \$183,600 in additional productive facilities. The new machinery is expected to have a useful life of 5 years with no salvage value. Depreciation is by the straight-line method. During the life of the investment, annual net income and net annual cash flows are expected to be \$10,557 and \$51,000, respectively. Vilas has a 12% cost of capital rate, which is the required rate of return on the investment.Required:
a. Compute the cash payback period. (Round answer to 1 decimal place, e.g. 10.5.)
b. Compute the annual rate of return on the proposed capital expenditure. (Round answer to 2 decimal places, e.g. 10.52%)
c. Using the discounted cash flow technique, compute the net present value.

Payback period    = 3.6  years

Annual rate of return = 11.50%

NPV  = 243.59

Explanation:

The payback period: The estimated number of years it will take the initial cost to be recouped.

Payback period= initial cost/ Net cash inflow

= 183,600/51,000

= 3.6  years

Annual rate of return is the average annual income as a percentage of average investment

Annual rate of return = annual net income/ average investment

Average investment =( Initial,cost + scrap value)/2

= (183,600 + 0)/2 = 91,800

Annual rate of return = (10,557/91,800)× 100

= 11.50%

Net Present Value = The present value of cash inflow less the initial cost

PV of cash inflow = A × (1- (1+r)^(-n))/r

= 51,000 × (1- (1.12)^(-5)/0.12

=  183,843.59

NPV = 183,843.59 - 183,600

= 243.59

For each of the following scenarios, classify the type of spending (C,I,G,Xn), describe its impact on gross domestic product (increase, decrease, not impacted), and explain. A. A new airplane purchased by United Parcel Service.
B. The tuition you pay during your first year of college.
D. A new purchase of 50,000 shares of Time/Warner stock.
E. A new pair of tennis shoes made in China and purchased by an American shoe store.

A. A new airplane purchased by United Parcel Service.

• Investment (in fixed assets), GDP grows

B. The tuition you pay during your first year of college.

• Consumption (of services), GDP grows

• Not included in GDP, social security checks are considered transfer payments.

D. A new purchase of 50,000 shares of Time/Warner stock.

• Not included in GDP, only IPOs are included in GDP

E. A new pair of tennis shoes made in China and purchased by an American shoe store.

• Import, GDP decreases since net exports decrease

Explanation:

Esquire Comic Book Company had income before tax of \$1,400,000 in 2021 before considering the following material items: Esquire sold one of its operating divisions, which qualified as a separate component according to generally accepted accounting principles. The before-tax loss on disposal was \$380,000. The division generated before-tax income from operations from the beginning of the year through disposal of \$580,000. The company incurred restructuring costs of \$95,000 during the year. Required: Prepare a 2021 income statement for Esquire beginning with income from continuing operations. Assume an income tax rate of 25%. Ignore EPS disclosures. (Amounts to be deducted should be indicated with a minus sign.)

Income statement is prepared below.

Explanation:

Partial income statement

income from continuing operations              =      978,750

Discontinued operations:

income from operations of discontinued component     = 200,000

income tax expenses 25% of 200,000        =    -50000

income from operations of discontinued component     =150000

Net income      =    1,128,750

Income from continuing operations

income before additional items  =   1,400,000

less: restructuring cost     -95000

Income before tax     =   1305,000

less: tax 25%    =    -326,250

Income from continuing operations    =   978,750

Tower Company planned to produce 3,000 units of its single product, Titactium, during November. The standards for one unit of Titactium specify six pounds of materials at \$0.30 per pound. Actual production in November was 3,100 units of Titactium. There was an unfavorable materials price variance of \$380 and a favorable materials quantity variance of \$120. Based on these variances, one could conclude that:

The actual usage of materials was less than the standard allowed.

Explanation:

Based on these variances, one could conclude that the actual usage of materials was less than the standard allowed because the Company planned to produce 3,000 units of its single product during November in which the standards for one unit of the product specify six pounds of materials at \$0.30 per pound but at the end the Actual production in November was 3,100 units instead of 3,000 unit which was planned .

Therefore Materials quantity variance = (AQ - SQ) SP.

A favorable materials quantity variance can occurred in a situation where the actual usage of materials was less than the standard allowed which is AQ < SQ.

As the correlation between assets falls... Group of answer choices portfolio variance is not affected by correlation portfolio variance falls portfolio variance rises