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Vlad1618 [11]
3 years ago
5

Lamar needs 2308 for a future project. He can invest 2000 now at an annual rate of , compounded semiannually. Assuming that no w

ithdrawals are made, how long will it take for him to have enough money for his project
Business
1 answer:
Tanya [424]3 years ago
6 0

Answer:

Find detailed explanation below

Explanation:

The required future amount of 2308 is the future value of the amount invested today, hence, using the future value formula as provided below, we can determine the length of time it takes Lamar to accumulate enough money for the project.

FV=PV*(1+r/n)^mn

FV=2308

PV=2000

r=4%(assumed in order to explain the concept of the time value of money in a clearer context)

n=2(interest is compounded semiannually, twice a year)

m=number of years it takes to accumulate enough money=unknown

2308=2000*(1+4%/2)^2*m

2308/2000=(1.02)^2*m

1.154=1.0404^m

take the log of both sides

ln(1.154)=m ln(1.0404)

m=ln(1.154)/ln(1.0404)

m=3.62 years

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Jaguar has full manufacturing costs of their S-type sedan of £22,803. They sell the S-type in the UK with a 20% margin for a pri
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Answer:

12.18%

Explanation:

Company selling price in US = $55,000

(which is equal to price with 20% margin)

= 27,363 pounds × $2.01

= $55,000

Now the exchange rate increased to $2.15 per pound,

so here the manufacturing cost of the car will increase according to the increase in the exchange rate.

The selling price remains constant, then the profit margin is as follows;

Manufacturing cost of the car = 22,803 pounds × $2.15

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Selling price = $55,000

Profit margin:

= Selling price - Manufacturing cost

= 55,000 - 49,026

= $5,973.55

Margin percentage = Profit margin ÷ Manufacturing cost of the car

                                = $5,973.55 ÷ $49,026.45

                                = 12.18%

4 0
4 years ago
Mr. Ghani wants to deposit his savings of Rs. 50,000 in a bank which offers 8% interest compounded semi-annually to withdraw Rs.
Harman [31]

Answer:

How many withdrawals will he or his heir (in case of his death) be able to make before the entire amount is exhausted is explained below in detail explanation.

Explanation:

Let the no of withdrawals be n, then

Present value of n withdrawals = 50000

Interest rate per 6 months =8%/2 =4%

Withdraw amt/(Int rate)*(1-1/(1+interest)^n) = 50000

=> 2500/0.04*(1-1/1.04^n) = 50000

1/1.04^n = 0.2

1.04^n = 5

=> n = ln(5) / ln(1.04) = 41.03

Total 41 withdrawals of Rs.2500 can be made (with a smaller 42nd installment of less than Rs.2500)

8 0
3 years ago
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Answer:

Organizational development would be most useful to the organization in terms of building their capacity to achieve greater effectiveness by developing and reinforcing strategies, structures, and processes

Explanation:

Organizational development would be most useful to the organization in terms of building their capacity to achieve greater effectiveness by developing and reinforcing strategies, structures, and processes using various interventions that target human capital, processes, and technology. The Organizational Development Manager administers development and training programs for company employees.

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3 years ago
Colorado economy: the annual business report (1993-1994) indicates that for the past decade the cattle ranching industry in colo
alexdok [17]

Answer:

The colorado ranching is not expanding

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The null hypothesis, H₀ : μ = 2.7 billion

Alternative hypothesis, Ha : μ > 2.7 billion

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\sigma = 0.55 billion

n = 30

The observed test statistic,

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For the critical value, we check the t - table at 0.05 significance level

t_{crit} = t_{\alpha, df} =  t_{0.05, 29} \\t_{crit} = 1.699

t_{0} = 1.494\\t_{crit} = 1.699

Sincet_{0}, we will accept H₀

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Amanda [17]
Once every 10 years search it up if I am wrong
5 0
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