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Marrrta [24]
3 years ago
9

You want to save $98,000 to buy an boat by making an equal, end of year payment into a brokerage account for the next 9 years. I

f you expect to earn an annual interest rate of 7.75% on your account, how much do you need to deposit each year into your account?
Business
2 answers:
algol [13]3 years ago
7 0

Answer: $7,930

Explanation:

The payments are to be equal so this is an annuity. The expected value is to be $98,000 in 9 years so this is a future value of an Annuity.

The formula is;

FV = P * \frac{[1 + i]^n-1}{i}

98,000 = P * \frac{[1 + 0.075]^9-1}{0.075}

98,000 = P * 12.3581

P = 98,000/12.3581

P = $7,930

malfutka [58]3 years ago
6 0

Answer:

Annual deposit= $7,930.11

Explanation:

Giving the following information:

FV= $98,000

n= 9 years

i= 0.0775

<u>To calculate the annual deposit, we need to use the following formula:</u>

<u></u>

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (98,000*0.0775) / [(1.0775^9) - 1]

A= $7,930.11

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An area with younger people will have a higher demand for rentals and a lower demand for buying.

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At the start of football season, the ticket office gets very busy the day before the first game. Customers arrive at the rate of
ipn [44]

Answer:

(a) 3.2

(b) 10 minutes

(c) 0.8

Explanation:

Mean number of customer in service:

= Arrival rate ÷ service rate

= 24 in 60 min ÷ 30 in 60 min

= 24 ÷ 30

= 0.8

a) Average number of people in line:

= (Mean number of customer in service × arrival rate) ÷ (Service rate - arrival rate)

= 0.8 × (24 ÷ 6 )

= 3.2

b) Average time spend at the ticket office is = 10 minutes

c) Proportion of time server is busy:

= Arrival rate ÷  service rate

= (24 in 60 min ÷  30 in 60 min)

= 24 ÷ 30

= 0.8

7 0
3 years ago
Moon Flower Cosmetics Company’s executives are aware that their Asian customer base is interested in advanced skin care treatmen
Lady_Fox [76]

Answer:A merger

Explanation:

This is coming of two companies to form a new firm with both companies losing their indentity .

7 0
3 years ago
What quality-related trade-offs might there be between having a single large, centralized production processing facility and hav
trasher [3.6K]

Answer:

Centralized production processing facility considers top management as the apex of decision making.

In decentralized production processing the decision making is delegated to teams and multiple individuals.

Explanation:

Centralized facility:

Pros:

a. In centralized facility top management commitment helps in improved decision making

b. Allocation of budgets to improve production processes.

c. The process becomes a part of strategic planning.

d. Standardization of processes like Mcdonalds kitchen.

e. Lower costs

f. Better forecasting

Cons:

a. Lack of flexibility

b. In case of international chains customers may be dissatisfied with standardized procedures

c. No room for customization

Decentralized Facility:

Pros:

a. Flexibility

b. Customer oriented approach

c. lack of bureaucratic procedure

d. quick decision making

Cons:

a. No standardization

b. Every Team has its own benchmarking process to evaluate performance.

c. Costly

d. Planning, budgeting and forecasting is effected adversely.

3 0
3 years ago
First City Bank pays 8 percent simple interest on its savings account balances, whereas Second City Bank pays 8 percent interest
Anarel [89]

Answer:

$14,343.25

Explanation:

First city bank pays 8% simple interest in a savings account

Second city bank pays 8% interest compounded annually

$68,000 is deposited deposited in each of the bank

The first step is to calculate the simple interesr per year of first city bank

= principal × rate

= 68,000 × 8/100

= 68,000 × 0.08

= 5,440

The interest earned for the period of 8 years can be calculated as follows.

= 5,440 × 8

= 43,520

The balance at the end of 8 years can be calculated as follows

= 68,000 + 43,520

= 111,520

The next step is to calculate the future value of second city bank

= principal × (1+R)^n

= 68,000 × (1+8%)^8

= 68,000 × (1+0.08)^8

= 68,000 × 1.08^8

= 68,000 × 1.85093021

= 125,863.25

Therefore the amount of money earned from second city bank at the end of 8 years can be calculated as follows

= 125,863.25-111,520

= 14343.25

Hence the money that was earned from second city bank at the end of 8 years is $14,343.25

8 0
3 years ago
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