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Alexeev081 [22]
1 year ago
5

Theo wants to have $40,000 for a down payment on a house five years from now. He can either deposit one lump sum today or he can

wait one year and deposit a lump sum. Assume an annual interest rate of 3.5 percent. How much additional money must he deposit if he waits for one year rather than making the deposit today?
Business
1 answer:
juin [17]1 year ago
4 0

Answer:

$1932.37

Explanation:

To find out how much additional money he must deposit if he waits for 1 year rather than making a deposit today we need to find the difference:

Difference = Value after 1 year - Present value

We first convert the interest rate percentage by dividing interest rate value by 100

Present Value = $40 000 / (1 + 0.035)5 = $7729.47

Value after 1 year = $40 000 / (1 + 0.035)4 = $9661.81

Difference = $9661.81 - $7729.47 = $1932.37

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Larry Ellison starts a company that manufactures high-end custom leather bags. He hires two employees. Each employee only begins
HACTEHA [7]

Answer:

12.55 days

Explanation:

<em><u>Provided information </u></em>

Number of employees 2

Average production time=1.8 days

Standard deviation=2.7 days

Inter-arrival time= 1 day

Coefficient of variation= 1 day

Standard deviation of inter-arrival time= 1 day

The coefficient of variations

<u>Inter-arrival coefficient of variation </u>

C_{vi}=\frac {\sigma}{T} where \sigma is standard deviation of inter-arrival time, T is inter-arrival time and C_v is coefficient of variation of inter-arrival time

C_{vi}=\frac {1 day}{1 day}=1

<u>Production time coefficient of variation </u>

C_{vp}=\frac {2.7}{1.8}=1.5

<u><em>Total utilization time </em></u>

U=\frac {T}{n*T_i} where T is the time of production, n is number of employees, U is utilization, T_i is inter-arrival time

U=\frac {1.8}{2*1}=0.9

Therefore, utilization time by 2 employees is 0.9

<u>Expected average waiting time </u>

T_e=(\frac {T}{n*T_i})*0.5(C_{vi}^{2}+C_{vp}^{2})*(\frac{U^{\sqrt{2(n+1)}-1}}{1-U})

Where T_e is expected average waiting time and the other symbols as already defined

Substituting 1.5 for C_{vp}, 1 for C_{vi}, 0.9 for U, 2 for n, 1 for T_iand 1.8 for T

T_e=(\frac {1.8}{2*1})*0.5(1^{2}+1.5^{2})*(\frac{0.9^{\sqrt{2(2+1)}-1}}{1-0.9})

T_e=0.9*1.625*8.583709=12.55367 days  and rounding off to 2 decimal places we obtain 12.55 days

Therefore, expected duration between order received and beginning of production is approximately 12.55 days

4 0
1 year ago
Write a paragraph that explains the correlation between money supply and economic growth.
frutty [35]
The correct answer for this question is this one:
The correlation between money supply and economic growth is directly related because the as the number of money of supply increases, the significance to that with the economic growth is that there is progress. Hope this helps


3 0
1 year ago
Read 2 more answers
To buy new equipment, a business owner borrowed $4,200.00 for 2 years and paid $850.00 simple interest on the loan. What rate of
Sergio039 [100]

Answer:

Explanation:

simple interest formula: I = PRT

850=4200*2*(R)

850=8400*R

850/8400=R

Rate = .1011904761904762

7 0
2 years ago
Read 2 more answers
Lassen Corporation sold a machine to a machine dealer for $24,000. Lassen bought the machine for $52,000 and has claimed $20,500
tangare [24]

Answer:

Gain/loss= $7,500 loss

Explanation:

Giving the following information:

Selling price= $24,000.

Lassen bought the machine for $52,000 and has claimed $20,500 of depreciation expense on the machine

First, we need to calculate the book value:

Book value= original price - accumulated depreciation

Book value= 52,000 - 20,500= $31,500

If the selling price is higher than the book value, the company gain from the sale.

Gain/loss= 24,000 - 31,500= $7,500 loss

8 0
2 years ago
Many tire centers and new car dealers offer to fill tires with nitrogen instead of compressed air, often at a significantly incr
STatiana [176]

Answer and Explanation:

a) the advantage if using Nitrogen is that pure nitrogen does not leak out of tires as fast as oxygen do. Molecules of Nitrogen are much larger that those of Oxygen so nitrogen filled tires will remain inflates longer than air filled tires.

b) it is consistent with the ideal gas law (PV= nRT). Volume is inversely proportional to pressure and directly proportional to the temperature which mean that every 10 degree change in temperature will result in 1 psi change in tire-inflation pressure.

c) Yes there is another chemical reason. Air contains moisture which can build up within and corrode the wheels and tire pressure monitoring system resulting in tire rot from within but Nitrogen gas is much drier and allows a more steady pressure inside the tire.

d) No I will not pay extra for nitrogen filled tires because there's no huge difference between nitrogen and air filled tires. Nitrogen contains only about 93-95% nitrogen and the rest air ,while ordinary air-filled tire contains 78% nitrogen and the rest air. Besides nitrogen gas do not protect nor repairs faulty tires, you still have to check your tires from time to time and ordinary air is much cheaper than nitrogen and in some regions free. So I think its just a marketing strategy and do not have much use.

5 0
2 years ago
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