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madreJ [45]
4 years ago
9

You are the CEO and Manager of MathFair (a Math based theme park, obviously) that charges: children $2, adults $5, and vets $3.

You are looking over the books for last weekend. 1,900 people came to the park. You took in $6,300. There were 100 unaccompanied children (that is, the number of children was 100 more than the number of adults and vets combined). How many children, adults, and vets visited Math Fair last weekend
Business
1 answer:
katovenus [111]4 years ago
6 0

Answer:

700 adults

800 children

400 vets

Explanation:

children $2

adults $5

vets $3

1,900 came to the park, total revenue = $6,300

number of children was 100 more than adults

Let:

C = number of children

A = number of adults

V = number of vets

2C + 5A + 3V = 6,300

C + A + V = 1,900

C = A + 100 (we can replace C with A)

2(A + 100) + 5A + 3V = 6,300 ⇒ 2A + 200 + 5A + 3V = 6,300

7A + 3V = 6,100

A + 100 + A + V = 1,900 ⇒ 2A + V + 100 = 1,900

2A + V = 1,800

7A + 3V = 6,100

2A + V = 1,800 ⇒ V = 1,800 - 2A  (we can replace V)

7A + 3 (1,800 - 2A) = 6,100

7A + 5,400 - 6A = 6,100

A = 6,100 - 5,400 = 700

C = A + 100 = 800

V = 1,900 - 700 - 800 = 400

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Grady is a member of a large family and received the following payments this year. For each payment, determine whether the payme
diamong [38]

Answer:

a. This is a realized income. Amount to be included in his gross income is $0.

b. This is a realized income. Amount to be included in his gross income is $0.

c. This is a realized income. Amount of gift of bond to include in Glady's gross income is $0. Amount of interest from the bonds to be included in his gross income is $0.

d. This is NOT a realized income. Amount to be included in his gross income is $0.

Explanation:

a. A gift of $30,600 from Grady’s grandfather. Amount to be included?

The $30,600 is categorized as a realized income. However, no part of the total amount of any gift will be included in the gross income.

Therefore, amount to be included Glagy's gross income is $0.

b. 680 shares of GM stock worth $282 per share inherited from Grady’s uncle. The uncle purchased the shares for $82 each, and the shares are worth $287 at year-end. Amount to be included?

This amount of inheritance is categorized a realized income. However, they are not to be included as part of the gross income.

Although the there is an increase in the share value from $82 to $287, but the increased value will still not be included in the gross income because it has not been realized.

Therefore, amount to be included Glagy's gross income is $0.

c. A gift of $53,000 of Ford Motor Bonds. Grady received the bonds on October 31, and he received $1,590 of semiannual interest from the bonds on December 31. Amount to be included for gift motor bonds? Amount to be included for interest from the bonds?

This gift of bond is categorized as a realized income. However, they are not to be included as part of the gross income.

The amount of interest that accrued till October 31 will not be included in the gross income because it is considered as part of the gift as it was an interest that accrued when the bond gift was given.

The $530 [i.e ($1,590 / 6 months) * 2 months] that accrued from November 1 to December 31 (i.e. 2 months) will be taxed because it accrued after the day the gift was given. But this is an accrued interest that has not been received. It will therefore not be included in the gross income but it will be taxed when it is received.

The amount of gift of bond = $53,000 + [($1,590 / 6 months) * 4 months] = $53,000 + $1,060 = $54,060.

Amount of accrued interest from the bonds = ($1,590 / 6 months) * 2 months = $530.

However, amount of gift of bond and interest from the bonds to be included in Glady's gross income is $0.

d. A loan of $7,200 for school expenses from Grady’s aunt. Amount to be included?

A genuine loan does not fall under the category of a realiszed income. However, there are situations whereby a loan can be a a disguised gift. Under this situation, the loan would be considered as a gift and then becomes a realized income. However, the value of the gift will not be included in the gross income.

For this qustion, the loan is considered a genuine loan and it not a realized income. Therefore, the amount to be included Glagy's gross income is $0.

8 0
3 years ago
A level of ability or how good a person is at something is called
Tasya [4]
Hello there, and good morning to you! :D

A level of ability or how good a person is at something is called:

skill. 

Skill measures how good you are at something, or how long you've been doing it, etc. The more skill you have, the better you are about something!

I hope this helps!
~kaikers
5 0
3 years ago
Three years ago, you invested $3,350.00. Today, it is worth $4,100.00. What rate of interest did you earn
Anastasy [175]

Answer:

6.97%

Explanation:

the formula to be used is

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years  

$4,100.00 = $3,350.00 x ( 1 + r)^3

divide both sides of the equation by $3,350.00

$4,100.00 / $3,350.00 = ( 1 + r)^3

1.223881 = ( 1 + r)^3

find the cube root of both sides

1.069661 = 1 + r

r = 6.97%

7 0
3 years ago
Suppose that the U.S. government decides to charge wine consumers a tax. Before the tax, 30 million bottles of wine were sold ev
AysviL [449]

Answer:

$3

$2

$1

False

Explanation:

The burden of tax refers to who pays the tax between the buyer and the seller.

More burden of tax usually falls to the party with the more inelastic demand because the quantity demanded would not change despite the increase in price as a result of the tax.

To find the amount of tax per bottle = price of wine - amount received by producers = $6 - $3 = $3

The amount paid by consumers = price after tax - price before tax = $6 - $4 = $2

Amount received by sellers = tax- amount paid by consumers = $3 - $2 = $1

It can be seen that consumers bear a higher burden of tax because they pay the greater tax. This means they have an inelastic demand.

If the tax had been levied on producers, the effect on quantity demanded would have been greater because producers have a more less elastic supply when compared to consumers .

I hope my answer helps you

7 0
4 years ago
Read 2 more answers
Michael works as a sales representative for an oilfield supply business in West Texas. He sells highly technical safety equipmen
Sphinxa [80]

Answer:

d. the complexity of the product.

Explanation:

Marketing can be defined as the process of developing promotional techniques and sales strategies by a firm, so as to enhance the availability of goods and services to meet the needs of the end users or consumers through advertising and market research. The pre-service strategies includes identifying the following target market, design, branding, market research. Thus, it comprises of all the activities such as, identifying, anticipating set of medium and processes for creating, promoting, delivering, and exchanging goods and services that has value for customers. It typically, involves understanding customer needs, building and maintaining healthy relationships with them in order to scale up your business.

Personal selling also known as face-to-face selling can be defined as a sales technique or strategy in which the salesperson meets with the potential buyer (customer) for the sole purpose of convincing him or her to buy a product.

For Michael, personal selling works better than other forms of promotion because of the complexity of the product i.e high technicalities associated with the product. The product Michael are highly technical and as such would require guidance or explanation on how to safely use them.

4 0
3 years ago
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