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Karolina [17]
2 years ago
14

At an annual effective interest rate of 6.3%, an annuity immediate with 4N level annual payments of 1,000 has a present value of

14,113. Determine the fraction (in percentage) of the total present value represented by the first set of N payments and the third set otâ…£ payments combined.
Business
1 answer:
LuckyWell [14K]2 years ago
8 0

Answer:

$8,949.22

Explanation:

PV = annual payment x PV annuity factor

PV annuity factor = 14,133 / 1,000 = 14.133

PV annuity factor = [1 - 1/(1 + 0.063)ⁿ ] / 0.063

14.133 x 0.063 = 1 - 1/(1 + 0.063)ⁿ

0.890379 = 1 - 1/(1 + 0.063)ⁿ

1/(1 + 0.063)ⁿ = 0.109621

1 / 0.109621 = 1.063ⁿ

9.12234 = 1.063ⁿ

n = log 9.12234 / log 1.063 = 0.96010624 / 0.0265333 = 36

the present value of the first 36/4 = 9 payments = $1,000 x 6.71376 (PV annuity factor, 9 periods, 6.3%) = $6,713.76

the present value of the third set of 9 payments = $6,713.76 / (1 + 6.3%)¹⁸ = $2,235.46

present value of the first and third sets = $8,949.22

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Given the following, compute the cost of goods manufactured.
Anestetic [448]

Answer:

$278,000

Explanation:

Given the above, cost of goods manufactured is computed as

= Direct materials + Direct labor + Applied overhead + Beginning work in process - Ending work in process

= $40,000 + $100,000 + $120,000 + $30,000 - $12,000

= $278,000

Cost of goods manufactured is $278,000

6 0
2 years ago
What is a power grid?
Sindrei [870]

Answer:

What is a power grid?

C) Transmission lines and transformers that take and send electricity from generating facilities to end users

Explanation:

A power grid is a system of interconnected transmission lines and transformers that takes electricity from the producers to the consumers. The power grid is very important in the supply of electricity to consumers. Before power is to be transmitted to the consumers, it has to be generated. Traditionally, the conventional way of generating power was from central power stations that utilized sources like; fossil fuels, coal and natural gas. In the recent past, however, more advancements have been made towards more clean energy sources like; wind, geothermal and hydroelectricity. Clean energy sources have several benefits over the traditional sources of energy, like; they don't cause harm to the environment and also they are renewable since they can be used over and over without depletion.

Once the energy has been harnessed and converted to electricity, it needs to be transmitted. The network for transmission to the consumers is what makes up the power grid. Transmission is usually done at very high voltage to minimize losses. However, before providing it the consumers, the electricity needs to be converted to a low voltage by the use of transformers for domestic and commercial consumption.

6 0
2 years ago
Read 2 more answers
Please help me thankssss !!!!
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Answer:

Money owing to bank, Motor Van, Stock of goods

Explanation:

7 0
2 years ago
A typical major requirement for a business major would be a course in: A.physics. B.music theory. C.economics. D.physical educat
Llana [10]
Economics because it has to deal with money, which is important for a career in business.
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2 years ago
Whenever marginal cost is greater than average total cost, A. average total cost is rising. B. marginal cost is falling. C. aver
Damm [24]

Answer:

A. average total cost is rising.

Explanation:

Whenever marginal cost is more than average cost it means it costs more to produce a unit now compared to the average cost of the previous units. Lets assume that a company produces 3 units  of a good.

The first unit costs $1

The second unit costs $2

The third unit costs $3.

The average cost is (1+2+3)/3=2

Now if the marginal cost for producing a unit is more than the average cost for example if the marginal cost is 4, then this will mean that average total cost is rising. we can mathematically check this.

The first unit costs $1

The second unit costs $2

The third unit costs $3.

The fourth unit costs $4

Average cost= (1+2+3+4)/4=10/4=2.5

Here we see that the average cost increased from 2 to 2.5 because marginal cost was greater than average cost.

4 0
3 years ago
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