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Hoochie [10]
3 years ago
13

To complete your degree and then go through graduate school, you will need $95,000 at end of each of the next 8 years. Your Aunt

offered to put you through school, and she will deposit in a bank paying 4.00% interest a sum of money that is sufficient to provide you with the needed 8 withdrawals of $95,000 each.
Required:
a. How large of a deposit must she make today?
b. How much will be in the account immediately after you make the 3rd $95,000 withdrawal?
c. How much will be in the account immediately after you make all the withdrawals including the last one in 8 years?
d. Now, if you decide to drop out of school today and not make any of the withdrawal, but instead keep your auntâs money, that she deposited today, in the account that is earning 4.00%, how much would you have at the end of 8 years?
Business
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

PMT = $95,000

Rate = 4%

Life = 8 years

a. Amount to be deposited today

= PV(Rate, N, -PMT)

= PV(4%, 8, -95,000)

= $639,610.76

b. Amount in account after 3rd withdrawal

= PV(Rate, N, -PMT)

= PV(4%, 5, -95,000)

= $422,913.12

c. Balance in account after 8th withdrawal

= = PV(Rate, N, -PMT)

= PV(4%, 0, -95,000)

= $0

d. How much would you have at the end of 8 years?

= FV(4%, 8, -639610.76)

= $875,351.49

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A clothing store sells T-shirts, t, for $8 a shirt and shorts, s, for $12 each. The
Crazy boy [7]

Answer:

B. 8t + 12s = 216; t = 3s

Explanation:

t-shirts = $8 each

shorts = $12 each

$216 total

t-shirts sold = 3 x shorts

7 0
3 years ago
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The following equations describe the supply and demand for crude oil in the United States in the mid-1980s: (Quantity supplied =
irina [24]

Answer: The equilibrium price is $68, Quantity 32 million barrel, The quantity to import is 53 million barrel

Explanation:

Given that D = -2 + (1/2)P, S = 15 - (1/4)P

At equilibrium Qd = Qs

-2 + (1/2)P = 15 - (1/4)P

Change 1/2 P and 1/4 P to decimal we have 0.5, and 0.25 respectively

Collect like terms

-2 -15 = 0.25P - 0.5P

17 = 0.25P

Divide both sides by P

17/0.25 = 0.25P /0.25

68 = P

P = 68

Substitute the value of P into equation 1 and 2 determine the value of Q

-2 + 0.5 (68)

-2 + 34

= 32

15 - 0.25 (68)

15 + 17

= 32

To determine the quantity to import when world price is $11.00 per barrel ,substitute the value into equation 1

-2 + 0.5 (11)

-2 + 55

= 53

Therefore quantity to import is 53 millions barrel

6 0
4 years ago
A type of vertical bar chart in which the categories are plotted in the descending rank order of the magnitude of their frequenc
FrozenT [24]

A contingency table consists of a double entry table with rows and columns in which the categories are plotted in descending order of the magnitude of their frequencies.

<h3>What is a contingency table?</h3>

They are frequency tables in which data from two qualitative variables are recorded and the relationship between them is analysed.

In these tables, the rows represent the categories of one variable and the columns the categories of the other variable or characteristic under study.

The cell located at the intersection of a given row and column, collects the absolute frequency simultaneously presented by the modalities that occupy the corresponding row and column.

Therefore, we can conclude that a contingency table consists of a double entry table with rows and columns in which the categories are plotted in descending order of the magnitude of their frequencies.

Learn more about contingency tables here: brainly.com/question/5492865

8 0
2 years ago
The Buttercrust Pizza Company sells pizzas in two different sizes—medium and large. The number of medium pizzas sold is twice th
Ivenika [448]

Answer:

False

Explanation:

The weighted average contribution margin is calculated by multiplying individual contribution margin with respective size pizzas (i.e number of units sold) then total contribution margin (i.e of both medium and large size) is divided upon total number of units sold, see as follows:

According to Buttercrust Pizza company's sales data medium pizzas sold are twice the number of large pizzas. Now here we have to take an assumption since we aren't given actual sales units. Keeping in mind the sales data we can assume that 100 units of medium pizzas and 50 units of large pizzas are sold during the period.

Contribution margin of medium pizza: (CM× units of medium size pizzas)

Contribution margin of large pizza: (CM× units of large size pizzas)

Contribution margin of medium pizza: $10× 100 = $1000

Contribution margin of large pizza: $22× 50 = $1100

Total contribution (of both pizza sizes) = $2100

Total sales units (of both pizza sizes) = 150

The weighted average contribution margin is calculated as follows:

WACM= $2100÷ 150

WACM= $14

(Disclaimer: the solution of this question has been concluded using self-induced assumptions.)

4 0
4 years ago
It costs Sunland Company $12 of variable and $5 of fixed costs to produce one bathroom scale which normally sells for $35. A for
liq [111]

Answer:

The Net income will increase by $6,400

Explanation:

Use the following formula to calculate the effect on the net income

As the fixed cost is irrelevant to special order

Net income = Increase in revenue - Increase in Variable cost - Special shipping cost

Where

Increase in revenue = 3200 x $15 = $48,000

Increase in Variable cost = 3200 x $12 = $38,400

Special shipping cost = 3200 x $1 = $3,200

Placing values in the formula

Net income = $48,000 - $38,400 - $3,200

Net income = $6,400

Hence, the net income will increase by $6,400

4 0
3 years ago
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