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Gnesinka [82]
2 years ago
14

A present value of $2600 is invested in an account with an annual interest rate of 4.1% . Determine the minimum amount of time r

equired for the present value to triple, assuming the interest is compounded monthly. The minimum amount of time required is:
Business
1 answer:
Olin [163]2 years ago
5 0

Answer:

The minimum amount of time required is:

26.82 years.

Explanation:

Present value = $2,600

Future value = $7,800 ($2,600 * 3)

Annual interest rate = 4.1%

Monthly interest rate = 4.1%/12 = 0.342%

$2,600 will need to be invested for 321.781 (26.82 years) periods to reach the future value of $7,800.00.

FV (Future Value) $7,800.00

PV (Present Value) $2,600.00

N (Number of Periods) 321.781

I/Y (Interest Rate) 0.342%

PMT (Periodic Payment) $0.00

Starting Investment $2,600.00

Total Principal $2,600.00

Total Interest $5,200.00

You might be interested in
How much would $100, growing at 5% per year, be worth after 75 years? a. $4,077.43 b. $4,281.30 c. $3,883.27 d. $3,689.11 e. $4,
Zielflug [23.3K]

Answer:

The answer is c. $3,883.27

Explanation:

For the problem, we will be using the formula for calculating the Future Value of money, which is:

F= P(1+r)^{n}

Where:

F - future value

P - Principal amount = ($100)

r - rate of growth in percent = (5% or 0.05)

n - number of years = (75)

We calculate thus:

F = 100(1 + 0.05)^{75}

F = 100(1.05)^{75}

F = 100  X  38.8327

F = 3,883.27

therefore the amount after 75 years will be $3,883.27

5 0
3 years ago
Management accounting primarily is concerned with providing:A) information to managers inside the organization as well as inform
Inga [223]

Answer:

The correct answer is C:  information to managers inside the organization

Explanation:

Management accounting is a part of accounting that regards the identification, measurement, analysis, and interpretation of accounting information to help managers in the decision-making process to efficiently manage a company’s operations. On the contrary of financial accounting, which is primarily concentrated on the correct organization and reporting of the company’s financial transactions to outsiders (e.g., investors, lenders), managerial accounting is focused on internal decision-making.

5 0
3 years ago
Match each stage of the business life cycle to its corresponding description.
slega [8]

The business life cycle corresponds to the stages that a business goes through throughout its existence in the market, which are existence, survival of the fittest, success, take-off and maturity. The correct sequence for this question is C B D A E.

<h3>Maturity</h3>

The business is separate from the owner with responsibilities delegated to staff. A business in this stage usually commands a considerable share of the market and may even be a household name.

<h3>Takeoff</h3>

Expansion strategies are implemented, and investment is balanced with potential.

<h3>Existence</h3>

The business introduces itself to the market and attempts to catch the attention of potential customers.

<h3>Success</h3>

Company is stable and profitable.

<h3>Survival of the Fittest</h3>

Focus shifts to revenue, expenses, and growth. Cashflow is the major issue.

Therefore, the business life cycle will help management to manage its resources according to the business phase and make more effective decisions for competitiveness and organizational positioning.

The correct answer is:

C. Maturity

B. Takeoff

D. Existence

A. Success

E. Survival of the Fittest

Find out more information about  business life cycle here:

brainly.com/question/25754149

8 0
2 years ago
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
You have $130,000 to invest in a portfolio containing Stock X and Stock Y. Your goal is to create a portfolio that has an expect
Finger [1]

Answer:

Let X be the amount invested in stock A

Let 1-X be the amount invested in stock B

Expected rate = (Required rate of X* X) + (Required ratebof Y * (1-X))

0.146 = (0.128 * X) + (0.078 * (1-X))

0.146 = 0.128X + 0.078 -  0.078X

0.146 - 0.078 = 0.128X - 0.078X

X = 0.068/0.05

X = 1.36

Amount to be invested in Stick X = $130,000 * 1.36

= $176,000

Amount to be invested in Stock Y = (1-X) * Available amount

= (1-1.36) * $130,000

= $46,800

Therefore, the amount to be invested in Stick Y = -$46,800

Calculation of the portfolio beta

bp = w1b1 + w2b2 + ........ + wnbn

bp = (1.36*1.3) + ((-0.36) * 1.05)

bp = 1.768 - 0.378

bp = 1.29

Therefore, the portfolio beta is 1.39

7 0
3 years ago
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