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harina [27]
3 years ago
13

Irene plans to retire on January 1, 2020. She has been preparing to retire by making annual deposits, starting on January 1, 198

0, of 2300 dollars into an account that pays an effective rate of interest of 8.4 percent. She has continued this practice every year through January 1, 2001. Her goal is to have 1.35 million dollars saved up at the time of her retirement. How large should her annual deposits be (from January 1, 2002 until January 1, 2020) so that she can reach her goal
Business
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

$16,876

Explanation:

first we have to calculate how much money Irene saved until January 1, 2001:

P = PMT ×   [(1 + r)ⁿ - 1] / r

  • PMT = 2,300
  • r = 8.4%
  • n = 22

P = 2,300 ×   [(1 + 8.4%)²² - 1] / 8.4% = $134,089

if she stops making any more payments, in 19 years those $134,089 will be worth:

FV = PV x (1 + r)ⁿ

  • PV = $134,089
  • r = 8.4%
  • n = 19

FV = 134,089 x (1 + 8.4%)¹⁹ = $620,797

that means she still needs to get $1,350,000 - $620,797 = $729,203

we can use the first formula to determine the payments she will need to make during the next 19 years:

P = PMT ×   [(1 + r)ⁿ - 1] / r

  • P = 729,203
  • r = 8.4%
  • n = 19
  • PMT = ???

PMT = P /  {[(1 + r)ⁿ - 1] / r}

PMT = 729,203 / {[(1 + 8.4%)¹⁹ - 1] / 8.4%} = 729,203 / 43.21 = $16,876

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3 years ago
Ramort Company reports the following cost data for its single product. The company regularly sells 21,500 units of its product a
Fittoniya [83]

Answer:

Gross margin= $744,760

Explanation:

<u>The absorption costing method includes all costs related to production, both fixed and variable.</u> The unit product cost is calculated using direct material, direct labor, and total unitary manufacturing overhead.

Unitary fixed overhead= 52,900 / 21,500= $2.46

Total unitary production cost= 10.3 + 12.3 + 3.3 + 2.46= $28.36

<u>Now, the gross margin:</u>

Gross margin= sales - COGS

Gross margin= 21,500*63 - 21,500*(28.36)

Gross margin= $744,760

7 0
3 years ago
Assuming the Coase theorem applies, an efficient allocation of a resource will result ... A. only if the government acts to inte
Mamont248 [21]

Answer:

B. through negotiations between the parties involved.

Explanation:

  • correct answer is through negotiations between the parties involved because According to Coase theory, priority rights are best defined by negotiation between the parties involved and there is no transaction cost in negotiations.                            
  • The Coase theory states that when transaction costs are low, both parties can negotiate and reach an effective outcome in the presence of an outsider.

6 0
3 years ago
On September 1, 2017, Hyde Corp., a newly formed company, had the following stock issued and outstanding:• Common stock, no par,
Pavel [41]

Answer:

Common Stock                                  5,000

Additional paid-in Common stock  70,000

Preferred Stock                                15,000

Additional paid-in Preferred stock 22,500

Explanation:

For the common and preferred stock accounts, we multiply the shares outstanding by the face value.

The additional paid-in will be the difference between the par value and the market price of the share at issuance.

<u>Common stock</u>

5,000 issued shares x $ 1 par value = 5,000

<u>Additional paid-in</u>

15 - 1 = 14 additional paid-in per share

5,000 shares x 14 = 70,000

<u>Preferred stock</u>

1,500 issued shares x $ 10 par value = 15,000

<u>Additional paid-on</u>

25 - 10 = 15 additional per share

1,500 x 15 = 22,500

3 0
3 years ago
Suppose that the price of basketball tickets at your college is determined by market forces. Currently, the demand and supply sc
belka [17]

Answer:

a) see attached graph. There is nothing unusual with the supply curve, it is simply fixed. This happens to most services, e.g. there is a fixed number of hotel rooms available for rent, in the short run you cannot add more rooms per night if the demand increases. In order to increase the quantity supplied, you would need to build a larger hotel, or in this case, a larger stadium.

b) the equilibrium price is $8 and the equilibrium quantity is 8,000 tickets

c) if the college plans to increase enrollment, the demand might increase, leading to a higher equilibrium price, but the supply will remain the same until the stadium is expanded.

Explanation:

Price              Quantity Demanded (Qd)          Quantity Supplied (Qs)

$4                            10,000                                        8,000

$8                             8,000                                        8,000

$12                            6,000                                        8,000

$16                            4,000                                        8,000

$20                           2,000                                        8,000

3 0
3 years ago
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