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malfutka [58]
3 years ago
5

You need to have $33,250 in 20 years. You can earn an annual interest rate of 4 percent for the first 6 years, 4.6 percent for t

he next 5 years, and 5.3 percent for the final 9 years. How much do you have to deposit today
Business
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

The amount needed to be deposited today = $13184.93

Explanation:

From the given information;

You need to have $33,250 in 20 years.

Annual interest rate :

4 percent for the first 6 years

4.6 percent for the next 5 years

5.3 percent for the final 9 years

The amount needed to be deposited today =

\dfrac{33250}{(1+\dfrac{4}{100})^6  \times (1+\dfrac{4.6}{100} )^5 \times  (1+\dfrac{5.3}{100} )^9 }

The amount needed to be deposited today = \dfrac{33250}{(1+0.04)^6  \times (1+ 0.046 )^5 \times  (1+0.053 )^9 }

The amount needed to be deposited today = \dfrac{33250}{(1.04)^6  \times (1.046 )^5 \times  (1.053 )^9 }

The amount needed to be deposited today = \dfrac{33250}{1.265319018  \times 1.252155953 \times 1.591678466 }

The amount needed to be deposited today = $13184.93

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. A one-product firm estimates that its daily total cost function (in suitable units) is C (x) = x^3 - 6x^2 + 13x + 15 and its t
givi [52]

Answer:

Value of x maximising profit : x = 5

Explanation:

Cost : C(x) = x^3 - 6x^2 + 13x + 15 ; Revenue: R(x) = 28x

Profit : Revenue - Cost = R(x) - C(x)

28x - [x^3 - 6x^2 + 13x + 15]  = 28x - x^3 + 6x^2 - 13x - 15

= - x^3 +  6x^2 + 15x - 15

To find value of 'x' that maximises total profit , we differentiate total profit function with respect to x & find that x value.

dTP/dx = - 3x^2 + 12x + 15 = 0 ► 3x^2 - 12x - 15 = 0

3x^2 + 3x - 15x - 15 = 0  ► 3x (x +1) - 15 (x + 1) = 0 ► (x+1) (3x-15) = 0

x + 1 = 0 ∴ x = -1   [Rejected, production quantity cant be negative] ;

3x - 15 = 0 ∴ 3x = 15 ∴ x = 15/3 = 5

Double derivate : d^2TP/dx^2 = - 6x + 12

d^2TP/dx^2  i.e - 6x + 12  at x = 5 is -6(5) + 12 = - 30+ 12 = -8 which is negative. So profit function is maximum at x = 5

8 0
4 years ago
Exam hide or show questions question content area revenue and expense account are permanent accounts. true false
klio [65]

Because they are always converted to an income summary throughout the closing process, revenue and expense accounts are known as nominal accounts.

so the statement is false

Revenue Definition:

Revenue in financial accounting refers to an inflow of funds, typically from sales or services provided by commercial activity. It is also known as sales or business turnover. In other terms, revenue refers to the amount of money that a company or organization receives. For instance, certain businesses may receive income from royalties, interest, or copyright fees. While for some businesses, money may come from the services they provide to clients. Donations from groups, corporations, and people are referred to as revenue for non-profit organizations.

Operating Revenue Examples:

  • Sales.
  • Fees or Commission Earned.
  • Service Revenues.

Expenses Definition:

A money outflow is known as an expense or expenditure in financial accounting. As an illustration, a tenant's expenses can include rent. Parents' expenses could include the cost of their children's tuition. Expenses for a business include things like electricity bills, bank fees, sales expenses, phone bills, repairs, and services.

List of expenses in accounts frequently observed when preparing financial statements:

  • Cost of goods sold.
  • Legal fees.
  • Depreciation.

Learn more about Revenue and expense accounts here

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3 0
2 years ago
Amram Inc. can issue a 20-year bond with a 6% annual coupon at par. This bond is not convertible, not callable, and has no sinki
Reil [10]

Answer:

B) The coupon rate could be less than, equal to, or greater than 6%, depending on the specific terms set, but in the real world the convertible feature would probably cause the coupon rate to be less than 6%.

Explanation:

Amram Inc. is issuing two bonds, one is not convertible and the other one is convertible and callable. Regardless of the coupon rate that they plan to set, convertible and callable bonds will usually (almost always) have a coupon rate that is lower than non-convertible or non-callable bonds.

Convertible bonds are bonds that can be converted or exchanged to common stock. Since convertible bonds offer more investment options, their risk is lower than non-convertible bonds.

Callable bonds is a bond that can be redeemed before the maturity date.

7 0
3 years ago
In regard to firm growth, evidence shows that ________. service firms tend to generate sustained growth while manufacturing firm
JulijaS [17]

Answer:

At least during the last couple of decades, service firms tend to generate sustained growth while manufacturing firms do not.

Explanation:

The last president that recorded a steady manufacturing growth rate was Bill Clinton.

Service firms are growing steadily and probably will continue to do it. While manufacturing firms have been slowing down, their growth rate (if any) is not very large during the past few years and that tendency has increased with the new trade barriers imposed by our government during the last couple of years.

Another thing that helps the growth of service firms is that when manufacturing firms or agricultural firms grow, they need more services, so service firms will grow even more.

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3 years ago
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
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