MATHEMATICS COLLEGE

If f(x)=5x+12, what if f(2)?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Put 2 where x is and do the arithmetic.

f(x) = 5x +12

f(2) = 5(2) +12 = 10 +12

f(2) = 22

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1. Ebony kept her bank account open for only 3 weeks, and the graph shows the entire 3 weeks. During that time, her greatest balance was $400. (a) Give the domain and range of the function. (b) Give an estimate to the nearest hundreds for . Explain how you determined your estimate and tell what means in context of the situation. (c) Ebony’s bank balance first reached $0 on Day 12. How would you show that information in function notation? (d) Ebony’s bank balance remained at $0 from Day 12 through Day 15. As you count segments from the left, which segment on the graph1, 2, 3, 4, 5, or 6 represents that information? Explain how you know.

The U.S. Department of Agriculture guarantees dairy producers that they will receive at least $1.00 per pound of butter they supply to the market. Below is the current monthly demand and supply schedule for wholesale butter (in millions of pounds per month). Wholesale Butter Market Price (dollars per pound) Quantity of Butter Demanded Quantity of Butter Supplied
(millions of pounds) (millions of pounds)
$0.80 107 63 0
.90 104 71
1.00 101 79
1.10 98 87
1.20 95 95
1.30 92 103
1.40 89 111
1.50 86 119
1.60 83 127
1.70 80 135
1.80 77 143
a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.
b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program? 22 million pounds 79 million pounds Zero 11 million pounds Suppose that a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price.

Answers

Answer:

a. In the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.

b. The correct option is zero.

c. See the attached excel file for the new supply schedule.

d. The monthly surplus created by the price support program is 18 million pounds given the new supply of butter.

Step-by-step explanation:

Note: This question is not complete. A complete question is therefore provided in the attached Microsoft word file.

a. In the butter market, the monthly equilibrium quantity is million pounds and the equilibrium price is $ per pound.

At equilibrium, quantity demanded must be equal with the quantity supplied.

In this question, equilibrium occurs at the price of $1.20 per pound and quantity of 95 million pounds.

Therefore, in the butter market, the monthly equilibrium quantity is 95 million pounds and the equilibrium price is $1.2 per pound.

b. What is the monthly surplus created in the wholesale butter market due to the price support (price floor) program?

Price floor refers to a government price control on the lowest price that can be charged for a commodity.

It should be noted that for a price floor to be binding, it has to be fixed above the equilibrium price.

Since the price floor of $1 per pound is lower than the equilibrium price of $1.2 per pound, the price floor will therefore not be binding. As a result, the market will still be at the equilibrium point and the monthly surplus created in the wholesale butter market due to the price support (price floor) program will be zero.

Therefore, the correct option is zero.

c. Fill in the new supply schedule given the change in the cost of feeding cows.

Since a decrease in the cost of feeding cows shifts the supply schedule to the right by 40 million pounds at every price, this implies that there will be an increase in supply by 40 million at each price.

Note: Find attached the excel file for the new supply schedule.

d. Given the new supply of butter, what is the monthly surplus of butter created by the price support program?

Since the price floor has been fixed at $1 per pound by the price support program, we can observe that the quantity demanded is 101 million pounds and quantity supplied is 119 million pounds at this price floor of $1. The surplus created is then the difference between the quantity demanded and quantity supplied as follows:

Surplus created = Quantity supplied - Quantity demanded = 119 - 101 = 18 million pounds

Therefore, the monthly surplus created by the price support program is 18 million pounds given the new supply of butter.

Final answer:

In the wholesale butter market, the equilibrium quantity is 95 million pounds and price is $1.20 a pound. The monthly surplus with price support is -22 million pounds showing a shortage. The decrease in cost of feeding cows shifts the supply to right, creating a potential surplus.

Explanation:

The equilibrium quantity and price in the wholesale butter market are determined by where the quantity demanded equals the quantity supplied. From the given schedule, we can see that this occur when the price is $1.20 per pound and the quantity is 95 million pounds.

The monthly surplus created due to the price support is calculated by subtracting the quantity demanded from the quantity supplied at the price floor of $1.00. This gives us a surplus of 79 million pounds - 101 million pounds = -22 million pounds, indicating a shortage rather than a surplus.

If the cost of feeding cows decreases, shifting the supply schedule to the right by 40 million pounds, the new equilibrium will need to be found again where quantity demanded equals quantity supplied. This shift would increase the quantity supplied at every price point, resulting in a potential surplus if demand conditions remain unchanged.

Learn more about Price Support and Market Equilibrium here:

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The probability that a boy is born with Down's syndrome is p, 0

Answers

Answer:

The probability that a baby born with Down's syndrome is a boy is $(p)/(p+q)$ .

Step-by-step explanation:

The probability of a baby born being a boy (B) or a girl (G) is same, i.e.

P (B) = P (G) = 0.50.

The probability of a boy is born with Down's syndrome is, P (D|B) = p.

The probability of a girl is born with Down's syndrome is, P (D|G) = q.

The law of total probability states that:

$P(X)=P(X|Y)P(Y)+P(X|Z)P(Z)$

Use this law to compute the probability of a baby born with Down's syndrome as follows:

$P(D)=P(D|B)P(B)+P(D|G)P(G)\n=(p*0.50)+(q*0.50)\n=0.50(p+q)$

The conditional probability of an event X given that another event Y has already occurred is:

$P(X|Y)=(P(Y|X)P(X))/(P(Y))$

Compute the probability that a baby born with Down's syndrome is a boy as follows:

$P(B|D)=(P(D|B)P(B))/(P(D)) =(p*0.50)/(0.50(p+q)) =(p)/(p+q)$

Thus, the probability that a baby born with Down's syndrome is a boy is $(p)/(p+q)$ .

Make m the subject when g=square root sign over m-5

Answers

Answer:

m = g² + 5

Step-by-step explanation:

Step 1: Write equation

g = √(m - 5)

Step 2: Solve for m

Square both sides: g² = m - 5
Add 5 to both sides: g² + 5 = m
Rewrite: m = g² + 5

A box contains 5 plain pencils and 5 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected

Answers

The events 'select a plain pencil' and 'select a color pencil' are independent. therefore the probability of both occurring is the product of their probabilities:
$P(plain\ pencil\ and\ color\ pencil)=(5)/(10)*(3)/(10)=(3)/(20)$
The answer is 3/20 or 0.15.

Question 6/6What is the 100th term of the sequence with the following explicit rule: f(n) = 9n-1
А. 900
ОО
B. 899