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BaLLatris [955]
3 years ago
8

LaQuesha Jackson has made a considerable fortune. She wishes to start a perpetual scholarship for engi- neering students at her

school. The scholarship will provide a student with an annual stipend of $10,000 for each of 4 years (freshman through senior), plus an additional $5000 during the senior year to cover job search expenses. Assume that students graduate in 4 years, and the money is paid at the beginning of each year with the first award at the beginning of Year 1. The interest rate is 10%.
Required:
a. Determine the equivalent uniform annual cos (EUAC) of providing the scholarship.
b. How much money must LaQuesha donate?
Business
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

A)  EUAC = 38625.09 / 3.4869 = 11077.354

B) $83225.79

Explanation:

A ) Determining the EUAC  of providing the scholarship

EUAC = sum of present values / sum of present value factors

present value is calculated as ( p ) =  year * present value factor

the present value factor for the various(4) years are : ( 1.000, 0.9091,0.8264,0.7513 ) = 3.4869

present value for the 4 years =( $10000 , $9,090.91, 8264.46, 11269.72 )

total = $38625.09

therefore EUAC = 38625.09 / 3.4869 = 11077.354

B ) THE MONEY LAQUESHA MUST DONATE

interest rate for perpetuity = 1.10 ^4 - 1

                                             = 1.4641 -1 =  0.4641

therefore amount to be donated = total present value / interest rate for perpetuity    

= 38625.09 / 0.4641  = $83225.79

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£)
aleksley [76]

Answer:

The greatest number of mangoes which are to be taken out at a time from each basket so that both of them emptied simultaneously is the number of mangoes in each basket which is 120 mangoes for one basket and 168 mangoes for the other basket

Explanation:

Given that the number of mangoes in one basket = 120 mangoes

Also, the number of mangoes in another basket = 168 mangoes

The greatest number of mangoes, X and Y that are to taken out from each basket so that both of them will empty simultaneously is found as follows;

We note that the ratio of the number of mangoes in both baskets are;

120:168 = 5:7

Therefore, we have;

5 × Y = 120

Y = 20/5 = 24

Similarly, we have;

7 × X = 168

X = 168/7 = 24

We can take 5 mangoes from one basket and 7 mangoes from the other basket 24 times, for both mangoes to empty the same time

We can also take 5×12 = 60 mangoes twice from one basket and 7 × 12 = 84 mangoes twice from the other basket to empty the baskets

We can also take 120 mangoes one from one basket and 168 mangoes one from the other basket to empty the baskets.

Therefore, the greatest number of mangoes which are to be taken out at a time from each basket so that both of them emptied simultaneously is the number of mangoes in each basket which is 120 mangoes for one basket and 168 mangoes for the other basket.

3 0
3 years ago
On March 1, Sara, a student, received a telephone call from ComputerChip, Inc. offering her a job for one year beginning on June
densk [106]

Answer:

Yes, because the job offer is for longer than one year from March 1

Explanation:

Since in the question it is mentioned that Sara who is a student have offered a job on March 1 that begins on June 15 and she have to move to california for the job. So here the Sara  would ask the letter in the case when she accepted the offer immediately as the job offer would be more than one year i.e. from March 1

Therefore the above represent the answer

7 0
3 years ago
You put $100 in the bank now, $200 in the bank a year from now, and $300 in the bank in two years. How much money will you have
Paul [167]

Answer:

End of year 3: $677.85

Explanation:

If the interest rate is annual effective:

Year 0 (now): $100

In a year from now I will have:

End of Year 1: $100*1,075= 107.5

Then I put $200 more, i will have $307.5

Begging of year 2: $307.5

In two years from now I will have:

End of year 2: $307.5*1.075= $330.56

Then I put $300 more, i will have $660.56

Begging of year 3: $660.56

In three years from now i will have:

$660.56*1,075= $677.85

End of year 3: $677.85

4 0
3 years ago
If cola and iced tea are good substitutes for consumers, then it is likely that: their cross price elasticities are greater than
Simora [160]

Answer:

their cross price elasticities are greater than zero

Explanation:

The price elasticity of cross demand is a measure of the sensitivity of the demand of one good to the price of another good. If goods are considered subtitles, elasticity will be positive, ie when the price of one of the goods rises, the demand for the other will increase. Therefore, the elasticity will be greater than zero.

4 0
3 years ago
Sara's Sensible Critters makes two kinds of catnip toys: balls (x1) and mice (x2). The relationship between demand and price for
Afina-wow [57]

Answer:

Appropriate expression for profit = MaxZ = (p1-2)x1 +(p2-3)x2

Explanation:

to calculate the appropriate expression for objective of maximizing profit, there's a need to first present our data as seen below

Now given that:

Cost of catnip ball $2

Cost of mouse = $3

Price of catnip ball = p1

Price of mouse = p2

Demand of catnip ball = x1

demand of mouse = x2

Profit of catnip ball = p1-2

Profit of mouse = p2-3

Appropriate expression for profit = MaxZ = (p1-2)x1 +(p2-3)x2

3 0
3 years ago
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