answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harrizon [31]
2 years ago
10

Mark Johnson saves a fixed percentage of his salary at the end of each year. This year he saved $2,500. For each of the next 5 y

ears, he expects his salary to increase at an 10% annual rate, and he plans to increase his savings at the same 10% rate. There will be a total of 6 investments, the initial $2,500 plus five more. If the investments earn a return of 13% per year, how much will Mark have at the end of six years
Business
2 answers:
yarga [219]2 years ago
7 0

Answer:

Mark will have at the end of six years the amount of $25,865.74

Explanation:

According to the given data we have the following:

First investment = 2500

Investment increasing at rate of 10%

Interest rate = 13%

t=6 years

Present value is given by formula = C * [((1+g)^n/(1+i)^n) - 1 ] / (g-i)

C is first value = 2,500

g is increase in investment = 0.10

i is intrest rate = 0.13

n is no of years = 6

Putting values into the equation

P = 2500* [((1+ 0.10)^6/(1+0.13)^6) - 1 ] / (0.10-0.13)  1.771561    2.08195

P = 2500* [((1.10)^6/(1.13)^6) - 1 ] / (-0.03)

P = 2500* [0.8509142870866 - 1 ] / (-0.03)

P = 2500* (-0.14908571)/ (-0.03)

P = 2500* 4.9695236

P=$12,423.809

Future value = P*(1+i)^t

= $12,423.809 *(1+0.13)^6

= $25,865.74

Mark will have at the end of six years the amount of $25,865.74

Artist 52 [7]2 years ago
3 0

Answer:

$29,228.47

Explanation:

year            savings                investment               total

<u>                                                returns                                      </u>

1                  $2,500                (1 + 13%)⁶                  $5,204.88

2                 $2,750                (1 + 13%)⁵                   $5,066.70

3                 $3,025                (1 + 13%)⁴                   $4,932.18

4                 $3,327.50           (1 + 13%)³                   $4,801.24

5                 $3,660.25          (1 + 13%)²                    $4,673.77

<u>6                 $4,026.28           (1 + 13%)                    $4,549.70 </u>

total           $19,289.03                                          $29,228.47

Since Mark earns compound interest, then the returns will be:

  • 1.13⁶ = 2.082
  • 1.13⁵ = 1.8424
  • 1.13⁴ = 1.6305
  • 1.13³ = 1.443
  • 1.13² = 1.2769
  • 1.13¹ = 1.13

You might be interested in
Maggie’s Skunk Removal Corp.’s 2018 income statement listed net sales of $13.8 million, gross profit of $8.70 million, EBIT of $
Margarita [4]

Answer: See explanation

Explanation:

1. Calculate the profit margin

Profit Margin = (Net Income/Net Sales) × 100

Profit Margin = (4,500,000/13,800,000) × 100

Profit Margin = 3.26 × 100

Profit margin = 32.6%

2. Calculate the basic earnings power.

Gross Profit Margin:

= Gross Profit/Net Sales × 100

= (8,700,000/13,800,000) × 100

= 6.304 × 100

= 63.04%

3. Calculate the return on assets.

Return on assets= Net income/Total asset

= 4,500,000/53,800,000

= 0.0836

= 8.36%

4. Calculate the return on equity.

Return on equity = Net income/Equity

= 4,500,000/22,300,000

= 0.2017

= 20.17%

5. Calculate the dividend payout.

Dividend payout = Dividend/Net income

= 2,500,000/4,500,000

= 0.556

= 55.6%

5 0
1 year ago
On January 1, JKR Shop had $225,000 of inventory at cost. In the first quarter of the year, it purchased $795,000 of merchandise
Gala2k [10]

Answer:

The estimated cost of inventory at the end of the first quarter is $327,250.

Explanation:

Gross profit : The gross profit represents the difference between sale price and purchase price.

The gross profit margin shows the ratio between gross profit and sales.

The calculation of cost of ending inventory is shown below:

First we have to calculate the cost of good sold.

Cost of goods sold = Beginning Merchandise inventory + Purchase of merchandise inventory  - Returned Merchandise inventory + Freight charges

=  $225,000 + $795,000 - $11,550 +  $18,800

= $1,027,250

Now, we have to calculate the approximate cost of goods sold.

Since gross profit is 30% and net sales is $1,000,000

And, The Gross profit  = Sales - cost of goods sold

So the Approximate cost of good sold = Net sales × (1 - 30%)

                                                                = $1,000,000 × 70%

                                                                = $700,000

Here 70% is the cost of goods sold percentage and 1 here denotes sales.

After considering these amounts, the ending inventory would be

= Cost of goods sold - Approximate cost of goods sold

= $1,027,250 - $700,000

= $327,250

Hence, the estimated cost of inventory at the end of the first quarter is $327,250.

5 0
2 years ago
What concept involves breaking down the production of a product into a series of small, elementary tasks, each of which is perfo
GenaCL600 [577]

Answer:

work or job specialization

Explanation:

Work specialization is based on the division of labor, i.e. dividing the work activities into smaller separate tasks. Each worker is responsible for performing only one or a few separate tasks and by doing so will specialize in its performance. As he workers specialize in performing certain tasks, overall efficiency and total output should increase.

6 0
2 years ago
Good X is produced in a competitive market using input A. Explain what would happen to the supply of good X in each of the follo
a_sh-v [17]

Answer:

a. It will increase.

b. It will decrease

c. It will decrease

d. it will increase.

Explanation:

If the price of an input needed for production of good X decreases, the cost of production of good X reduces. It becomes cheaper to produce good X and and as a result the supply of good X would increase.

An increase in tax increases the cost of production and makes production of good X more expensive. As a result, the supply of good X would fall.

technological change that reduces the cost of producing additional units of good X, would make the production of good X less expensive. As a result, the supply of good X would increase

3 0
1 year ago
Wrongful Discharge. Stephen Fredrick, a pilot for Simmons Airlines Corp., criticized the safety of the aircraft that Simmons use
kogti [31]

Answer:

Really want to help but I cant . Maybe next time I can help Maybe not but because we dont meet again

By the way .... this Virus.

mmuah thabks for the points

7 0
1 year ago
Other questions:
  • Brittany needs to buy some term life insurance. She has evaluated two 20-year fixed premium policies. One policy will cost $30 a
    11·1 answer
  • In a mortgage loan, the borrower always creates two documents: a note and a mortgage. Which of the following pieces of informati
    8·1 answer
  • An important application of the chi-square distribution is A. making inferences about a single population variance. B. testing f
    14·1 answer
  • Marco has noticed that as older adults purchase tablets, they do not know much about how to use them and are frequently aggravat
    5·1 answer
  • Sophia mentions that $250 is not even 1% of her salary and she does not seem motivated by the amount of the bonus. Based on expe
    11·1 answer
  • Assume that houses in an area appreciate at the rate of 4 percent a year. A borrower expects to have a loan-to-value ratio of 90
    15·1 answer
  • Jane Thorpe has been offered a seven-year bond issued by Barone, Inc., at a price of 943.22. The bond has a coupon rate of 9 per
    9·1 answer
  • The stock of Nogro Corporation is currently selling for $10 per share. Earnings per share in the coming year are expected to be
    8·1 answer
  • Professor Smith and Professor Jones are going to produce a new introductory textbook. As true scientists, they have laid out the
    6·1 answer
  • Some customers are __________, caring about new developments in their category and seeking out new products.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!