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eimsori [14]
3 years ago
12

A certain person goes for a run each morning. when he leaves the house for his run, he is equally likely to go out either the fr

ont or the back door and similarly when he returns, he is equally likely to go to either the front or the back door. the runner owns 3 pairs of running shoes which he takes off after the run at whichever door he happens to be. if there are no shoes at the door from which he leaves to go running, he runs barefoot. we are interested in determining the proportion of time that he runs barefoot. 1. set this problem up as a discrete time markov chain. give the states and the one-step transition probability matrix. 2. determine the proportion of days that he runs barefoot.
Business
1 answer:
boyakko [2]3 years ago
7 0
<span>if there are no shoes at the door from which he leaves to go running, he runs barefoot. but i would think this to be a math probability question</span>
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If 7000 dollars is invested in a bank account at an interest rate of 7 per cent per year, Find the amount in the bank after 14 y
Harlamova29_29 [7]

Answer:

1. Interest compounded annually = $18,049.74

2. Interest compounded quarterly = $18,493.77

3. Interest compounded Monthly = $18,598.16

4. Interest compounded continuously = $18,651.19

Explanation:

First let me state the formula for compound interest:

The future value of a certain amount which is compounded is the total amount (Principal + interest) on the amount of money, after compound interests have been applied, and this is shown below:

FV = PV (1+\frac{r}{n} )^{n*t}

where:

FV = Future value

PV = Present value = $7,000

r = interest rate in decimal = 0.07

n = number of compounding periods per year

t = compounding period in years = 14

For interests compounded continuously, the Future value is given as:

FV = PV × e^{r*t}

where

e is a mathematical constant which is = 2.7183

Now to calculate each on the compounding periods one after the other:

1. Interest compounded annually:

here n (number of compounding periods annually) = 1

Therefore,

FV = 7,000 × (1+\frac{0.07}{1})^{14}

FV = 7,000 × 1.07^{14} = $18,049.74

2. Interest compounded quarterly:

here, n = 3 ( there are 4 quarters in a year)

FV = 7,000 × (1+\frac{0.07}{4} )^{4*14}

FV = 7,000 × 1.0175^{56} = $18,493.77

3. Interest compounded Monthly:

here n = 12 ( 12 months in a year)

FV = 7,000 × (1+\frac{0.07}{12} )^{12*14}

FV = 7,000 × 1.005833^{168} = $18,598.16

4. Interests compounded continuously:

FV = PV × e^{0.07 * 14}

FV = 7,000 × 2.66446 = $18,651.19

3 0
3 years ago
Select all of the true statements regarding Gary Hamel's thoughts on management:
SIZIF [17.4K]

Answer: • management innovation is essential to future organizational success

• we must look at management as a process, and then make improvements and innovation ongoing and systematic

• much of management theory is dated and doesn't fit the current realities of organizational life

Explanation:

The true statements regarding Gary Hamel's thoughts on management are:

1. management innovation is essential to future organizational success

2. we must look at management as a process, and then make improvements and innovation ongoing and systematic

3. much of management theory is dated and doesn't fit the current realities of organizational life

According to Gary Hamel, yesterday's best practices of organizations can not be creative or adaptable for the business challenges tomorrow.

7 0
3 years ago
Managers at Eller Manufacturing are considering purchasing a new refrigerated delivery truck that Adaptive Practice Managerial,
juin [17]

Answer:

C) 10%

Explanation:

($144,000 + $12,780)/$36,000 = 4.355

6 0
3 years ago
For the past six years, the stock price of Slippery Rock Mining has been increasing at a rate of 7.3 percent per year. Currently
wel

Answer: 2.2%

Explanation:

The dividend yield base on the information given in the question will be calculated as the difference between the required return on the stock and the growth rate. This will be:

= 9.5% - 7.3%

= 2.2%

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The per-unit standards for direct labor are 2 direct labor hours at $15 per hour. If in producing 2200 units, the actual direct
Firlakuza [10]

Answer:

400 favorable

Explanation:

The computation of total direct labor variance is presented below:-

Total direct labor variance = (Standard rate - Standard hours) × (Actual rate - Actual hours)

= ($15 × (2 × 2,200)) - $65,600

= ($15 × 4,400) - $65,600

= $66,000 - $65,600

= 400 favorable

Therefore for determining the total direct labor variance we simply applied the above formula.

8 0
3 years ago
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