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Snowcat [4.5K]
3 years ago
9

What annual rate of return would Jia need to earn if she deposits​ $20,000 per year into an account beginning one year from toda

y in order to have a total of​ $1,000,000 in 30​ years?
Business
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:

3.12%

Explanation:

We use formula in excel to calculate annual rate of return

Rate = (Nper,PMT,,FV,1)

Nper (number of payments): 30

PMT (payment made every period) : -$20,000

FV (future value of investment): $1,000,000

type 1 for payment beginning of period

Then rate = (30,-20000,,1000000,1)= 3.12%

Please see excel attached for the calculation

Download xlsx
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Marketing Docs prepares marketing plans for growing businesses. For 2017, budgeted revenues are $1,500,000 based on 500 marketin
pishuonlain [190]

Answer:

Option (a) is correct.

Explanation:

Contribution margin per marketing plan = Sales - Variable cost

                                                                   =  $3,000 - $2,000

                                                                   = $1,000

A.

(1) Break-even\ in\ rooms=\frac{Fixed\ cost}{contribution\ margin\ per\ marketing\ plan}

Break-even\ in\ rooms=\frac{400,000}{1,000}

Break even in marketing plan = 400

(2) Break-even in dollars:

= Break-even in marketing plan × Average rate per plan

= 400 × 3,000

= 1,200,000

(3) Margin of safety = Actual sales - Break-even sales in dollars

                                = 1,500,000 - 1,200,000

                                = 300,000

Margin\ of\ safety\ ratio=\frac{Margin\ of\ safety}{Actual\ sales}

Margin\ of\ safety\ ratio=\frac{300,000}{1,500,000}

                                             = 20%

B.

(1) Contribution margin per marketing plan = Sales - Variable cost

                                                                   =  $4,000 - $2,000

                                                                   = $2,000

Break-even\ in\ rooms=\frac{Fixed\ cost}{contribution\ margin\ per\ marketing\ plan}

Break-even\ in\ rooms=\frac{400,000}{2,000}

Break even in marketing plan = 200

(2) Break-even in dollars:

= Break-even in marketing plan × Average rate per plan

= 200 × 4,000

= 800,000

(3) Margin of safety = Actual sales - Break-even sales in dollars

                                = 1,500,000 - 800,000

                                = 700,000

Margin\ of\ safety\ ratio=\frac{Margin\ of\ safety}{Actual\ sales}

Margin\ of\ safety\ ratio=\frac{700,000}{1,500,000}

                                             = 47%

Therefore, option (a) would achieve the margin of safety ratio more than 45%.

7 0
3 years ago
Christopher has a collection of 20 video games and will buy 4 more each month. Peter has a collection of 92 video games and will
Anton [14]

Answer:

It would be 8 months and they each would have 52 games.

Explanation:

8 0
2 years ago
A researcher was interested in the relationship between the number of texts sent in a day and the number of e-mails sent in a da
mixas84 [53]

Answer:

A. 14

Explanation:

the researcher claims that the width of the interval would have been smaller if the sample had been different, and in this case different refers to larger. The original sample included only 15 people, so in order to increase the data sample, you must include more than 15 people. That is why 14 doesn't make sense.

3 0
3 years ago
In 2016, Joshua gave $12,500 worth of XYZ stock to his son. In 2017, the XYZ shares are worth $25,000. What is the total amount
Elina [12.6K]

Answer:

$12,500

Explanation:

Calculation for the total amount removed from Joshua’s estate in 2017

Since we were told that In 2016, Joshua gave the amount of $12,500 to his son in which in the same year which was 2017, the XYZ shares are worth the amount of $25,000 which means that the total amount removed from Joshua’s estate in 2017 will be $12,500 ($25,000-$12,500).

8 0
3 years ago
1) Robolane Incorporated manufactures and distributes small robotic toys. Because most of its orders are via telephone or fax, n
Ket [755]

Answer:

Following are the Journal entries to the given question:

Explanation:

Accounts                                                              Dr                                        Cr

Robo Department Overhead Control              996

Materials Control (80 \times 5.15) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  412

Wages Payable  (80\times 5)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 400

Shop overhead control(80\times  2.30) \ \ \ \ \ \ \ \  \ \ \ \ \ \ \ \ \ 184

Finished Goods                                                  2000

Work in process control                                                                             2000

7 0
2 years ago
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