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
Slav-nsk [51]
2 years ago
5

Svetlana won $1,000,000 in a contest, to be paid in twenty $50,000 payments at yearly intervals, the first payment paid at the t

ime of the contest. (Of course, the present value of her winnings is less than $1,000,000.) Svetlana decided to keep X each year to spend and deposit the remaining $50;000 X into an account earning an annual effective interest rate of 5%. She chose the value X to be as large as possible so that, at the moment of the 20th deposit, the account would have grown to such a size that it would provide Svetlana and her heirs at least X per year in interest forever. Find X.
Business
1 answer:
goldfiish [28.3K]2 years ago
7 0

Answer: 31155.5

Explanation:

The following can be deduced from the question:

Money won = $1,000,000

Installments made yearly = $50,000

Interest rate = 5%

The yearly deposits made by Svetalana will be: = 500000-x

The future Value of the yearly deposits made by Svetalana will be:

= (50000-x) × (1/(1.05) + (1/(1.05)^2 .....(1/(1+0.05)^20))

= (500000-x) × 33.066

We should recall that the interest from the question is equated to x. This will be:

33.066 × (50000-x) × 0.05 =x

1.6533(50000 - x) = x

82665 - 1.6533x = x

2.6533x = 82665

x = 82665/2.6533

x = 31155.5

You might be interested in
Stephanie manages the accounting department at an advertising agency. She needs to conduct performance appraisals for the eight
wolverine [178]

Answer:

The correct answer is behaviorally anchored rating scale.

Explanation:

The behavior-based rating scale is a performance appraisal method that combines elements of the traditional rating scale and critical incident methods.  In this, various levels of performance are presented along with a scale that describes them regarding the specific work behavior of an employee.

4 0
1 year ago
Grefrath Corporation is developing direct labor standards. A particular product requires 0.71 direct labor-hours per unit. The a
Dimas [21]

Answer:

Direct labor hour per unit= 0.87 hours

Explanation:

Giving the following information:

A particular product requires 0.71 direct labor-hours per unit.

The allowance for breaks and personal needs is 0.04 direct labor-hours per unit. The allowance for cleanup, machine downtime, and rejects is 0.12 direct labor-hours per unit.

<u>The total direct labor hour per unit is the time required to produce one unit.</u>

Direct labor hour per unit= 0.71 + 0.04 + 0.12

Direct labor hour per unit= 0.87 hours

6 0
2 years ago
"Preemptive rights" means that Multiple Choice existing shareholders can prevent management from issuing additional common stock
Ymorist [56]

Answer:

Preemptive rights mean:

  • existing shareholders are guaranteed an opportunity to retain their proportional share of ownership.
  • management can preempt the right of shareholders to receive dividends if earnings are down.

Explanation:

Preemptive rights are a clause in an option, security or merger agreement that gives the investor the right to maintain his or her percentage ownership of a company by buying a proportionate number of shares of any future issue of the security.

In that case,

  • existing shareholders are guaranteed an opportunity to retain their proportional share of ownership.
  • management can preempt the right of shareholders to receive dividends if earnings are down.
6 0
1 year ago
Read 2 more answers
Donielle opened a revolving line of credit with a $4,000 credit limit. How much does she
nika2105 [10]

Answer:

B

Explanation:

1100-200

4000-900

5 0
2 years ago
Read 2 more answers
You are one of 5 identical firms (i.e., you all have the same costs) that sell widgets. Each day you have a fixed cost of $9 to
g100num [7]

Answer:

a. $1.5; b. 10 units; c. $7; d. $6

Explanation:

There are 5 identical firms in a market.

These firms sell widgets.

The fixed cost of each firm is $9.

The marginal cost of your first through fifth widgets are $1, $2, $3, $7, and $8, respectively.

a. The total variable cost for producing two widgets

= $1 + $2

= $3

The average variable cost

= \frac{TVC}{Q}

= \frac{3}{2}

= $1.5

b. The firms will supply the level of output where the price is able to cover the marginal cost of production.

At the price level $2.5, the marginal cost of producing 2 units i.e $2 is being covered. So the firms will supply 2 units each. The market supply will be 10 units.

c. The equilibrium price will be such that it is able to cover the marginal cost of production and the average variable cost.

The average variable cost

= \frac{TVC}{Q}

= \frac{13}{4}

= $3.25

That price is $7, so it will be the equilibrium price.

d. In the long run, the equilibrium price will be determined at the point where price equals ATC.

The total variable cost for producing two widgets

= $1 + $2 + $3 + $7 + $8

= $21

The total cost

= TFC + TVC

= $21 + $9

= $30

The average total cost

= \frac{TC}{Q}

= \frac{30}{5}

= $6

So, the long run price will be $6.

6 0
2 years ago
Other questions:
  • Fabian is proud of his slides and wants to print them out for his audience. However, he has 25 slides and an audience of 50. Wha
    10·2 answers
  • Based on what you know about the Hawley-Smoot Tariff Act, how can tariffs be both useful and dangerous tools? Give your answer i
    7·2 answers
  • Blue Fin started the current year with assets of $709,000, liabilities of $354,500 and common stock of $209,000. During the curr
    12·1 answer
  • Central Supply purchased a new printer for $67,500. The printer is expected to operate for nine (9) years, after which it will b
    10·1 answer
  • When General Motors first began selling its Chevy Novas in Mexico, it could not understand the low sales volume at first. Then,
    12·1 answer
  • The task of securing all necessary personnel, space, and financing; supervising all production and promotion efforts; fielding a
    8·1 answer
  • Imagine that you are a management coach and one of your clients, a new manager, says, "I’ve heard that about two thirds of manag
    13·1 answer
  • Compuvac Company has just completed its first pass forecast using the projected balance sheet method. need a total of 13,050,00
    11·1 answer
  • Considere que a empresa vale dos lirios Ltda, recebeu por meio de caixa, o valor registrado an conta de clientes referente a ven
    13·1 answer
  • York’s outstanding stock consists of 80,000 shares of noncumulative 7.5% preferred stock with a $5 par value and also 200,000 sh
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!