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3 years ago

A clothing

Mathematics

1 answer:

Andrej [43]3 years ago

3 0

Answer:

Equation for the function: y=8x+20

Step-by-step explanation:

8 represents points per item/rate of change

20 represents the y intercept or what the person gains in the beginning that doesn't change.

8(16)+20

128+20

=148

After making 16 purchases the person will have 148 points.

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$600 at 4% for 9 months.

NISA [10]

It’s like 24 if your asking how much 4% of 600 is.

3 0

3 years ago

A bowl contains 9 marbles with letters on them. 4 marbles have the letter R on them. 3 marbles have the letter Son

Firdavs [7]

The probability of getting an S on the first draw and then a T on the second draw is 2/12 if the bowl contains 9 marbles with letters on them.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Probability of getting letter an S:

P(S) = 3/9

Probability of getting letter an T:

P(T) = 2/8 (without replacement)

P(S, T) = (3/9)(2/8)

P(S, T) = 6/72 = 2/12

Thus, the probability of getting an S on the first draw and then a T on the second draw is 2/12 if the bowl contains 9 marbles with letters on them.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

7 0

2 years ago

The demand for mineral water is P=10 – (2/3)Q and supply function for mineral water is P=1+(1/3)Q

oksano4ka [1.4K]

Answer:

Equilibrium

We have:

+) Demand function: $P = 10 - \frac{2}{3} Q_{demand}$

=> $Q_{demand} = (10 - P)/\frac{2}{3} = (10-P).\frac{3}{2} = 15 - \frac{3}{2} P$

+) Supply function: $P = 1 + \frac{1}{3} Q_{supply}$

=> $Q_{supply} = (P-1)/\frac{1}{3} = (P-1).3 = 3P - 3$

The market of mineral water is at equilibrium when the quantity of demand is equal to the quantity of supply at a price level.

We have: Qdemand = Qsupply

⇔ $15 - \frac{3}{2} P = 3P - 3$

⇔ $15 + 3 = 3P + \frac{3}{2} P$

⇔ $18 = \frac{9}{2} P$

⇔ $P = 18/ \frac{9}{2} = 18 .\frac{2}{9} = 4$

When P = 4

⇒ $\left \{ {{Q_{demand} = 15 - \frac{3}{2}P = 15 -\frac{3}{2}.4 = 9 } \atop {Q_{supply} = 3P - 3 = 3.4 - 3 = 9}} \right.$

Price elasticity:

At P = 4, Qd = Qs = 9

+) Demand function:

$Q_{demand} = 15 - \frac{3}{2} P$ => $dQ_{D} = -\frac{3}{2}$

Price elasticity of demand is:

$E_{D} = dQ_{D}.\frac{P}{Q_{D} } = -\frac{3}{2} . \frac{4}{9} = -\frac{2}{3}$

+) Supply function:

$Q_{supply} = 3P - 3$ => $dQ_{S} = 3$

Price elasticity of supply is:

$E_{S} = dQ_{S}.\frac{P}{Q_{S} } = 3. \frac{4}{9} = \frac{4}{3}$

So equilibrium price is 4, equilibrium quantity is 9.

Price elasticity of demand is -2/3; Price elasticity of supply is 4/3

Initially, the market is at equilibrium at point A: P=4; Qd = Qs = 9

When a unit of tax is imposed on the suppliers, it will shift the supply curve to the left a distance = t = 3 TL. (We can see in the attached image).

The new supply curve intersects the demand curve at point B.

The market moves to the new equilibrium at point B: Q = Q2; Price producers get after tax = Price consumers pay - Tax

When a unit of tax is imposed, it will result in the difference between the price consumers pay and price producers receive at the equilibrium , which is equal to the tax.

We have:

$P_{D} = 10 - \frac{2}{3} Q_{demand}$

$P_{S} = 1 + \frac{1}{3} Q_{supply}$

And at equilibrium, Q demand = Q supply, so we have the equation:

$P_{S} - P_{D} = t$

⇔ $10 - \frac{2}{3} Q - (1+ \frac{1}{3} Q) = 3$

⇔ 9 - Q = 3

⇔ Q = 9 - 3 = 6

⇒ $P_{D} = 10 - \frac{2}{3} Q_{demand} = 10 - \frac{2}{3} .6 = 6$

$P_{S} = 1 + \frac{1}{3} Q_{supply} = 1 + \frac{1}{3} .6 = 3$

New equilibrium: Quantity = 6

+) Price consumers pay = 6

+) Price suppliers receive = 3

When the tax is imposed on the producers, it will create the burden on both producers and consumers.

As we can see it the attached image, the blue part represents the total tax that the government would receive, it can be calculated as:

Tax revenue = Tax × Equilibrium Quantity = 3 x 6 = 18

The burden of tax on consumers is illustrated by the area of rectangle a

=> Burden tax on consumers = (4 - 3) x 6 = 6

=> Burden tax on producers = 18 - 6 = 12

When the government imposes the tax, if the price elasticity of demand is less than price elasticity of supply, the consumers will have heavier burden of tax.

Vice versa, if the price elasticity of demand is greater than price elasticity of supply, the consumers will have less burden of tax.

=> The more inelastic, the heavier burden of tax and vice - versa

7 0

3 years ago

Find two positive integers such that their sum is 10, and minimize the sum of their squares.

N76 [4]

Answer:

5 and 5 is the lowest answer

Step-by-step explanation:

Based on what I'm assuming from that cryptic question, I assume you are looking for two numbers that add up to 10, but have the smallest sum when they are squared and added.

So I would start with 5 and 5, because they have the best chance.

If you do anything like 3 + 7,

You will get an answer of 49 + 9, which is rather high.

2 and 8 gives you 4 + 64, which is worse.

4 and 6 gives you 16 and 36, which add to 52, which is better.

5 and 5 gives you 25 and 25, which is 50, the best choice.

5 0

3 years ago

Read 2 more answers

A cookie jar contains four oatmeal raisin, one sugar, nine chocolate chip, and six peanut butter cookies. If one is chosen at ra

Shtirlitz [24]

Answer:

chocolate chips

Step-by-step explanation:

The p denotes here the probability which is given below;

Given that

There is 4 oatmeal raisin

1 sugar

9 chocolate chips

And, 6 peanut butter cookies

So based on the above information, the probability when the one is chosen would be of chocolate chips as it contains the hight value in the cookie jar

So the same is to be selected

6 0

3 years ago