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steposvetlana [31]
3 years ago
14

lucy invests $800 in an account that earns 6.12% annual interest compounded continuously. juan invests $1600 in an account that

earns 3.9% annual interest compounded continuously. find when the value of lucys investment equals the value of juans investment?
Business
1 answer:
Len [333]3 years ago
7 0

Answer:

Both their investments will reach a similar value in 32 years, 9 months and 8 days. Both accounts will have exactly $5,606.

Explanation:

Original investment:              $800 at 6.12%                    $1,600 at 3.9%          

future value 10 years                     $1,449                                $2,346

future value 20 years                   $2,624                                $3,439

future value 30 years                   $4,753                                $5,042

future value 31 years                    $5,044                                $5,238

future value 32 years                   $5,353                                $5,442

future value 33 years                   $5,681                                 $5,655

It will take over 32 years for both investments to match their amounts.

to determine the approximate month we start with the future value in 32 years:

                                                         $5,353                          $5,442

future value in 6 months                 $5,517                           $5,548

future value in 9 months                $5,599                           $5,601

future value in 9 months                                                                          

and 5 days                                      $5,603                           $5,604

future value in 9 months                                                                          

and 8 days                                      <u>$5,606</u>                           <u>$5,606</u>

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Winsted Co. purchased a bond on December 1 of the current year for $ 49 comma 000 and classified the investment as trading. The
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Answer:

Net income = $3000

C. $ 3 comma 000

Explanation:

For a company, net income is the residual amount of earnings after all expenses have been deducted from sales. In short, gross income is an intermediate earnings figure before all expenses are included, and net income is the final amount of profit or loss after all expenses are included.

In this case.. There is only a buy and a sell trade.

Net income= selling price- cost price

Net income= $52000-$49000

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Define corporate culture. What are the components of a good corporate culture? Why do you think that corporate culture has such
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Answer:

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24. You have saved $4,000 for a down payment on a new car. The largest monthly payment you can afford is $350. The loan will hav
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Answer:

The most expensive car can be afforded is = $17290.89

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Interest rate on the rate = 12% = 12% / 12 per month.

Now we have to calculate the most expensive car that can be afforded with the finance time of 48 months.  

Below is the calculation:

Present \  value = annuity \times \left [ \frac{1-(1+r)^{-n}}{r} \right ] \\= 350 \times \left [ \frac{1-(1+ 0.01)^{-48}}{0.01} \right ] \\= 13290.89 \\

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The Shapely Company uses the high-low method to determine its cost equation. The following information was gathered for the past
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Answer:

$633,000.

Explanation:

We use the High-low method to get the cost formula:

\left[\begin{array}{ccc}High&14,250&710,000\\Low&9,250&570,000\\Diference&5,000&140,000\\\end{array}\right]

This means 5,000 machine hours generate 140,000 labor cost

We divide and get the variable cost generate per machine hour:

Cost 140000

machine hours 5000

140,000/5,000 = 28

variable cost 28

Next, we use this to calculate the fixed cost:

total cost = variable cost + fixed cost

fixed cost = total cost - 28 X DL

<u>High:</u>

Total Cost 710,000

Variable 399,000 (14,250 x 28)

Fixed Cost 311,000

<u>Low:</u>

Total Cost 570,000

Variable 259,000 (9,250 x 28)

Fixed Cost 311,000

Now with the cost formula we solve for 11,500 machine hours

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3 years ago
During the first month of operations ended August 31, Kodiak Fridgeration Company manufactured 46,000 mini refrigerators, of whi
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Answer:

                                                                     $

Sales                                                       8,800,000

Less: Cost of goods sold (W1)               5,241,739.13

Contribution                                          3,558,260.87

Less: Fixed manufacturing cost               598,000

Less: Fixed selling and admin cost          320,000

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<em>(W1) Cost of goods sold</em>

Direct Material                                  3,450,000

Direct Labour                                    1,196,000

Variable manufacturing cost              782,000

Variable selling cost                            600,000

Total variable cost                            6,028,000

Less:closing inventory                     786,260.87 (6,028,000/46,000*6,000)

COST OF GOODS SOLD                  5,241,739.13

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