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Alex787 [66]
3 years ago
10

A company needs to have $135,000 in 5 years, and will create a fund to insure that the $135,000 will be available. If it can ear

n a 6% return compounded annually, how much must the company invest in the fund today to equal the $135,000 at the end of 5 years?
Business
1 answer:
Papessa [141]3 years ago
6 0

Answer:

The company must invest $ 100,879.85 ( approx )

Explanation:

Let P be the invested amount,

The annul rate, r = 6% = 0.06,

Number of years, t = 5 years,

Thus, the total amount after 5 years,

A=P(1+r)^t

A = P(1+0.06)^5

A=P(1.06)^5

We have, A = $135,000,

135000=P(1.06)^5

\implies P =\frac{135000}{(1.06)^5}=100879.85   ( Using calculator )

Hence, company must invest $ 100,879.85 ( approx )

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diamong [38]
I think it is D ...... sorry if it is wrong .-.
7 0
3 years ago
On April 1, 2016, the KB Toy Company purchased equipment to be used in its manufacturing process. The equipment cost $57,200, ha
Harman [31]

Answer:

2016 Depreciation

Dr depreciation expense $5720

Cr Accumulated depreciation               $5720

2017 Depreciation

Dr depreciation expense $5720

Cr Accumulated depreciation               $5720

Journal entries for 2018 expenditure

Dr repairs and maintenance   $2900

Dr Equipment account             $11850

Cr Cash account                                          $14750

2018 Depreciation

Dr depreciation expense          $4800.83

Cr Accumulated depreciation                     $4800.83

Explanation:

There are two policies for depreciating non-current asset  especially when it is acquired part-way through the year like we have here, namely full year depreciation in the year of purchase and none in the year of disposal or proportional depreciation throughout the useful life,I am adopting the former in this question.

Formula for depreciation=cost-residual value/useful life

Yearly depreciation is ($57200-$0)/10=$5720

However,after two years the book value is calculated thus:

Book value=$57200-($5720*2)=$45760

additional cost incurred in enhancing the capacity of the asset would be added :  $45760 +$11,850=$57610

Since the useful life has also been reviewed up to 12 years, the depreciation from now on is $57610/12=$4800.83

5 0
3 years ago
Read 2 more answers
A small market orders copies of a certain magazine for its magazine rack each week. Let X 5 demand for the magazine, with pmf Su
Oksanka [162]

Answer:

See explanation below.

Explanation:

Let X the random variable that represent the demand for the magazine, the pmf for X is given by:

X       1            2           3          4        5        6      

P(X)  1/15      2/15       3/15     4/15   3/15     2/15

3 magazines

For this case the total spent is 2*3 = $ 6

And the net revenue for this case would be:

$4-$6 = -$2 , X=1 (demand 1)

$4*2-$6 = $2 , X=2 (demand 2)

$4*3-$6 = $6 , X=3 (demand 3)

For the values of X=4,5,6 the net revenue will be $6 since the number of magazines is 3

And the expected value for the net revenue would be:

E(R) = \frac{1}{15} *(-2) +\frac{2}{15} *(2) +\frac{3}{15}*(6) + \frac{4}{15}*(6) +\frac{3}{15}*(6) +\frac{2}{15}*(6) = \frac{74}{15}=4.93

4 magazines

For this case the total spent is 2*4 = $ 8

And the net revenue for this case would be:

$4-$8 = -$4 , X=1 (demand 1)

$4*2-$8 = $0 , X=2 (demand 2)

$4*3-$8 = $4 , X=3 (demand 3)

$4*4-$8 = $8 , X=4 (demand 4)

For the values of X=5,6 the net revenue will be $8 since the number of magazines is 4

And the expected value for the net revenue would be:

E(R) = \frac{1}{15} *(-4) +\frac{2}{15} *(0) +\frac{3}{15}*(4) + \frac{4}{15}*(8) +\frac{3}{15}*(8) +\frac{2}{15}*(8) = \frac{80}{15}=5.33

As as we can see we have a higher expected value for the case with 4 magazines.

5 0
3 years ago
If a manufacturing process takes 4 hours per unit of x and 2 hours per unit of y and a maximum of 100 hours of manufacturing pro
lilavasa [31]

Answer:

The algebraic formulation of the constraint is 4X+2Y ≤ 100

Explanation:

The algebraic formulation of the constraint is shown below:

Given that

The number of hours taken per unit of x is 4 hours

And the number of hours taken per unit of x is 2 hours

And, the maximum hours available is 100

Now based on the above information

The  algebraic formulation of the constraint is

= 4X+2Y ≤ 100

hence, the same is to be considered

6 0
3 years ago
The board of directors of pilgrim company authorizes a $100,000 restriction of retained earnings for a future plant expansion. t
Yakvenalex [24]

Answer:

It will reduce the amount of dividiends it can pay.

Explanation:

As there is an amount of the retained earnings that is restricted the company cannot use them to pay up neither stock or cash dividends in the future.

The retained earnings are used to pay dividends but also, are part of the equity of the firm thus the RE count to the capital structure of the company . Loans can be obtained with better rates if thecapital structure is more based on equiy than in liabilities thus, the board of directors is planning ahead the future plant exansion avoiding to use cash and deteriorate his capital structure to pay up dividends.

6 0
3 years ago
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