Is 5 a composite or prime number

Answer the question on the basis of the accompanying production possibilities tables for two countries, Latalia and Trombonia.

Scilla [17]

The production possibility table shows that in Latalia the domestic real cost of 1 ton of pork is C. 5 tons of beans.

<h3>What is production?</h3>

It should be noted that production simply means the creation of goods and services for consumers.

In this case, production possibility table shows that in Latalia the domestic real cost of 1 ton of pork is 5 tons of beans. This is because 5 tons of beans will be sacrificed to produce the pork.

Learn more about production on:

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5 0

3 years ago

Listed below are some items found in the financial statements of Tony Gruber Co. Indicate in which financial statement(s) the fo

ss7ja [257]

Answer:

The correct financial statement for the respective items is:

a) Service Revenue - Income statement.

b) Equipment - Statement of financial position.

c) Advertising expense - Income statement.

d) Accounts receivable - Statement of financial position.

e) Owner’s capital - Statement of financial position.

f) Salaries and wages payable - Statement of financial position.

Explanation:

a) Service Revenue - Service revenue refers to the sales generated from the services provided/offered by the business to its customers. Service revenue is an item of the income statement and appears on the credit side amongst revenues/incomes list.

b) Equipment - Equipment in accounting is used to refer tangible items such as plant, property and motor vehicle which are expected to be used for production for longer than one accounting period. They are tangible items and form part of the statement of financial position under the non-current assets.

c) Advertising expense - Advertising expense refers to operating expense incurred by the business in advertising its products/services. It is an item of the of the income statement and appears on the debit side amongst expenses list.

d) Accounts receivable - The term accounts receivable refers to all the payments a business is expecting for goods or services it provided to its customers on credit. It is a part of the statement of financial position and appears under the current accounts.

e) Owner’s capital - Also known as the owner's equity, owners capital refers to all the investment the owner has put into the business.This maybe in the form of funds or assets. It is a part of the statement of financial position and appears under the Capital and retained earnings / losses accounts.

f) Salaries and wages payable - Salaries and wages payable refers to salaries and wages due/owed to the business's employees for prior periods.It is part of the statement of financial position and appears under the current liabilities accounts.

6 0

3 years ago

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount S present at time t

liubo4ka [24]

Answer:

a) - r=5%: $S=$ 5,136.10$

- r=4%: $S=$ 4,885.61$

- r=3%: $S=$ 4,647.34$

b) - r=5%: t=14 years

- r=4%: t=17 years [/tex]

- r=3%: t=23 years [/tex]

c) The amount obtained is

- Compuonded quarterly: $5,191.83

- Compuonded continously: $5,200.71

The latter is always greater, since the more often it is capitalized, the greater the effect of compound interest and the greater the capital that ends up accumulating.

Explanation:

The rate of accumulation of money is

$dS/dt=rS$

To calculate the amount of money accumulted in a period, we have to rearrange and integrate:

$\int dS/S=\int rdt=r \int dt\\\\ln(S)=C*r*t\\\\S=C*e^{rt}$

When t=0, S=S₀ (the initial capital).

$S=S_0=Ce^{r*0}=Ce^0=C\\\\C=S_0$

Now we have the equation for the capital in function of time:

$S=S_0e^{rt}$

a) For an initial capital of $4000 and for a period of five years, the amount of capital accumulated for this interest rates is:

- r=5%: $S=4000e^{0.05*5}=4000*e^{0.25}= 5,136.10$

- r=4%: $S=4000e^{0.04*5}=4000*e^{0.20}= 4,885.61$

- r=3%: $S=4000e^{0.03*5}=4000*e^{0.15}= 4,647.34$

b) We can express this as

$S=S_0e^{rt}\\\\2S_0=S_0e^{rt}\\\\2=e^{rt}\\\\ln(2)=rt\\\\t=ln(2)/r$

- r=5%: $t=ln(2)/0.05=14$

- r=4%: $t=ln(2)/0.04=17$

- r=3%: $t=ln(2)/0.03= 23$

c) When the interest is compuonded quarterly, the anual period is divided by 4. In 5 years, there are 4*5=20 periods of capitalization. The annual rate r=0.0525 to calculate the interest is also divided by 4:

$S = 4000 (1+(1/4)(0.0525))^{5*4}=4000(1.013125)^{20}\\\\S=4000*1.297958= 5,191.83$

If compuonded continously, we have:

$S=S_0e^{rt}=4000*e^{0.0525*5}=4000*1.3= 5,200.71$

The amount obtained is

- Compuonded quarterly: $5,191.83

- Compuonded continously: $5,200.71

The latter is always greater, since the more often it is capitalized, the greater the effect of compound interest and the greater the capital that ends up accumulating.

5 0

3 years ago

An employee is able to receive health insurance from a former employer after changing jobs. What best describes the legislation

Firdavs [7]

Answer:

Health Insurance Portability and Accountability Act (HIPAA).

Explanation:

An employee is able to receive health insurance from a former employer after changing jobs because of the Health Insurance Portability and Accountability Act (HIPAA).

The Health Insurance Portability and Accountability Act (HIPAA) of 1996 was a bill enacted by the 104th U.S Congress and was signed in 1996 by President Bill Clinton. It is a federal law that protects sensitive patient health information from being disclosed without their knowledge, approval or consent and payment of health care insurance for employees.

7 0

3 years ago

A(n) ____________ records the boundaries of a three-dimensional shape.

Alex_Xolod [135]

A CONTOUR LINE record the boundaries of a three dimensional shape.
In Art, a contour line is a line which defines a form or an edge. It is an outline of a given object. Contour line is usually drawn by following the visible edges of a shape and those edges along the interior of the shape. Contour line is often used to show dramatic changes of planes within an object.

8 0

3 years ago