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den301095 [7]
3 years ago
11

A 25-year-old engineer is opening an individual retirement account (IRA) at a bank. Her goal is to accumulate $1 million in the

account by the time she retires from work in 40 years. The bank manager (a) (b) (c) (a) (b) (c) (a) (b) (a) (b) (c) (a) (b) (c) estimates she may expect to receive 6% nominal annual interest, compounded quarterly, throughout the 40 years. The engineer believes her income will increase at a 5% annual rate during her career. She wishes to start her IRA with as low a deposit as possible and increase it at a 5% rate each year. Assuming end-of-year deposits, how much should she deposit the first year
Business
1 answer:
dimaraw [331]3 years ago
8 0

Answer:

The minimum deposit will be of 3,081 and after 40 year it will get 1,000,000 dollars

Explanation:

We have to solve for the C of an annuity growing

\frac{1-(1+g)^{n}\times (1+r)^{-n} }{r - g}

g 0.05

r 0.06

C 3,081

n 40

C \frac{1-(1+0.05)^{40}\times (1+0.06)^{40} }{0.06-0.05} = 1,000,000

C \times 324.57 = 1,000,000

C = 1,000,000/ 324.57 = 3,081

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Larry's Lawn Care incurs significant gasoline costs. This cost would be classified as a variable cost if the total gasoline cost
mafiozo [28]

Answer:

Increases in direct proportion to the number of hours the lawn equipment is operated.

Explanation:

Variable costs refer to those costs which vary or change with the level of production output. Such costs rise as production level increases and fall with decrease in the production level.

Examples of variable costs would include direct labor cost which varies with the number of hours worked, or sales commission which varies w.r.t the volume of sales effected by a salesperson.

In the given case, the cost incurred on gasoline, which is used as fuel for lawn equipment, would be classified as a variable cost if, such cost increases when lawn equipment is operated for more hours or falls when the same equipment is operated for lesser number of hours.

Thus, such costs should increase in direct proportion to the number of hours the lawn equipment is operared, to be classified as a variable cost.

5 0
2 years ago
You decide to incorporate your bracelet business and get your mother and brother involved in the corporation. Your executive com
Alex_Xolod [135]

False. Not every member of the board of directors is liable personally for the lawsuit. The business owner is the one who is held responsible and liable personally for the lawsuit. Though, the lawsuit typically hurts everyone involved depending on the depth of it because it could lead to company shut down which could cause many people to lose their lives.

5 0
3 years ago
True or False: Market segmentation is the process of dividing the market into groups of customers based on their needs, wants, a
nalin [4]

Answer:

true

Explanation:

Market segmentation is the process of dividing prospective consumers into different groups depending on factors like demographics, behavior and various characteristics.

3 0
2 years ago
An entrepreneur purchased an existing bicycle shop that had between $120,000 and $150,000 worth of sales annually for the past t
stepan [7]

Answer:

Forecasted sales: 25% maximum reduction.

Recommendations: try new ways to increase sales during the months left, or reduce its own cost.

Explanation:

  • If sales usually increase between March 1 and June 30, and this period accounts for 50% of annual revenue, if revenue is proportional to sales, a reduction in sales will reduce revenues.
  • Between March 1 and June 30 there are 4 months.
  • If sales usually pick up in March and this year they were low until the beggining of May, it means that  only 2 of the 4 most productive months were higly productive.
  • If 50% of sales are concentrated in this 4 months, and this year 2 of the 4 months were not really productive, a maximum 25% of sales (and hence of revenues) may have lost.
  • Therefore, revenues may lower by 25% this year.
  • To avoid losses, it is advisable to try new ways to increase sales during the months left, that can consist on doing some advertisement and promotions (related to health care linked to exersice for example), that helps increasing sales in the months left, to compensate the looses of the 2 months. If sales cannot be increased, it is advisable to reduce cost to avoid further looses.
6 0
3 years ago
Assume that you and your best friend each have $1,000 to invest. You invest your money in a fund that pays 10% per year compound
marishachu [46]

Answer:

correct answer is c. You both have the same amount of money

Explanation:

given data

invest = $1000

pay compound interest = 10%

pay simple interest = 10%

time = 1 year

solution

we get here difference in the total amount that is your friend money -  your money  .................1

so difference in the total amount = invest × (1+rate)^{time} - [ invest + ( invest  × rate × time) ] ......................2

put here value

difference in the total amount = $1000 × (1+0.10)^{1} - [$1000 +  ( 1000  × 10% × 1) ]

difference in the total amount = 0

so correct answer is c. You both have the same amount of money

7 0
3 years ago
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