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Sidana [21]
3 years ago
12

You can invest in an account that pays simple interest or an account that pays compound interest. In either case, you plan to in

vest $2,600 today and both accounts have an annual interest rate of 5 percent. How much more interest will you receive in the 8th year in the account that pays compound interest?
Business
1 answer:
trasher [3.6K]3 years ago
8 0

Answer:

You will receive $201.38 more interest if the investment is made with a compound interest rate rather than a simple interest rate.

Explanation:

<u>Simple interest rate</u>

We can calculate how much interests you'd obtain if you deposited the $2,600 in a simple interest rate account.

We start using the following formula for calculating the simple interests:

I=P * r

Where:

<em>I</em> are the interests per year,

<em>P</em> is the amount being invested,

<em>r</em> is the interest rate.

Replacing in the formula with the given values we have:

I=2600*0.05=130

We then proceed to multiply this result by the <em>given number of years</em>, which is 8. We get 130*8=1040.

Finishing with the <em>simple interest rate</em>, if we wanted to know how much is the investment worth at the end of a 8 year period, we must merely add <em>the principal</em> (the $2,600) to the total interests after the end of the period ($1040). So 2600+1040= 3640.

We'll use these results later.

<u>Compound interest rate</u>

The formula for compound interests is the following:

I=P(1+r)^n

Where:

<em>I</em> is the value of the investment after <em>n</em> years,

<em>P</em> is the principal amount being invested,

<em>r</em> is the interest rate,

<em>n</em> are the number of years the investment is compounded.

Replacing in the formula with the given values we have:

I=2600*(1+0.05)^8=3841.38

After the 8 year period, the investor will have $3841.38 in it's compounded interest account.

<u>Comparing these results</u>

<u></u>

We can simply substract the value of both investments at the end of a 8 year period, to determine how much more interest does the compound interest rate account give in relation to a simple interest rate account.

The values we've gotten were:

$3,640 for the simple interest rate account, and

$3,841.38 for the compounded interest rate account.

3841.38-3640=201.38. Therefore the answer is: the account that pays compounded interests will pay $201.38 more to this invididual, compared to an account that pays simple interest.

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Sonbull [250]

I Think its answer C: Fixed and Variable rates

3 0
2 years ago
Prepare a multiple-step income statement for Armstrong Co. from the following data for the year ended December 31. Sales, $755,0
OLEGan [10]

Answer:

See explanation

Explanation:

                       Armstrong Co.

          Multi-step Income Statement

  For the year ended, December 31, 20YY

Sales                                              $755,000

<u>Less: Cost of merchandise sold   (330,000)</u>

Gross Profit                                                    $425,000

Less: Operating expenses

Administrative expenses  $35,000

Selling expenses               $50,000

<em><u>Total operating expenses                               $85,000</u></em>

Income from operation                                 $340,000

Other revenue and expenses:

Rent Revenue                    $25,000

interest expense               ($30,000)

<u>Total other revenues (expenses)                      $(5,000)</u>

Income before taxes                                      $335,000

<u>Less: Income Tax                                                     0</u>

Net Income (loss)                                           $335,000

That is the appropriate way to prepare a multi-step income statement

3 0
3 years ago
Bob owns a trout farm with monopoly power in north carolina. bob's optimal output occurs where marginal revenue ________. becaus
VladimirAG [237]
<span>The right answer is C. marginal revenue equals marginal cost; is upward-sloping. Marginal revenue is the amount that revenue increases if someone sells one more unit of their product. When there's competition, every unit has the same price, but when there's a monopoly, you have to make cheaper every other unit to sell one more</span>
4 0
3 years ago
You are the manager of a firm that produces output in two plants. The demand for your firm's product is P = 78 − 15Q, where Q =
Leona [35]

Answer:

correct option is B. 40.5

Explanation:

given data

P = 78 - 15 Q

Q = Q1 + Q2

MC1 = 3Q1

MC2 = 2Q2

to find out

What price should be charged to maximize profits

solution

we get here first total revenue and marginal revenue that is

total revenue TR = P × Q   .......1

total revenue TR = 78Q - 15Q²

and

marginal revenue MR = \frac{change\ in\ TR}{change\ in\ Q}

marginal revenue MR = 78 - 30Q

now we get here

marginal revenue MR = MC1 = MC2

put here value

78 - 30Q1 - 30Q2 = 3 Q1 or 33 Q1 = 78 - 30Q2   ......................................a

78 - 30 Q1 - 30 Q2 = 2 Q2 or Q2 = 78 - 30Q1/32   ................................b

by equation a and b we get here

33 Q1 = 78 - 30 (78 - \frac{30Q1}{32} )

so here Q1 = 1 and

Q2 = 78 -  \frac{30*1}{32}

Q2 = 1.5

so that Q will be

Q = Q1 + Q2

Q = 1 + 1.5

Q = 2.5

now we get value of P that is

P = 78 - 15 Q

P = 78 - 15 (2.5)  

P = 40.5

so charged to maximize profits is 40.5

so correct option is B. 40.5

5 0
3 years ago
Christmas Timber, Inc., produces Christmas trees. The trees are produced through a cutting and pruning process. Machine maintena
seropon [69]

Answer:

Cutting = $62,020

Pruning = $16,280

Explanation:

<em>The direct method does not consider the impact of reciprocal servicing arrangement when allocating the overhead  of service centers and only allocates overhead to the production cost centers only.</em>

Allocation of Overhead

Janitorial overhead

Cutting = 6/(6+54)×   $5,000 = $500

Pruning =54/(6+54) ×  $5,000= $4,500

Maintenance overhead

Cutting = 9/(9+1)×   $7,800 = $7020

Pruning =1/(9+1) ×  $7,800= $780

Total cost of production department

Cutting = 54,500 + 500 + 7020= 62,020

Pruning department = 11,000 + 4,500 + 780 = 16,280

Cutting = $62,020

Pruning = $16,280

7 0
3 years ago
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