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3 years ago

Find the midpoint of the segment from Point A (1, 0.5) to Point B (0.5, 2)

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

5 0

Use the midpoint formula:

( $\frac{x1+x2}{2}$ , $\frac{y1+y2}{2}$ )

M=(1.5/2,2.5/2)
M=(0.75,1.25)

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-2m^3+12m^2-5

Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay

abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

$A=P(1+rt)$ , where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

$r=6.5\%=\frac{6.5}{100}=0.065$

$t=\text{141 days}=\frac{141}{365}\text{ year}$

$A=\$78001+0.065\times \frac{141}{365})$

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$A=\$7800(1.025109589041)$

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Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

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3 years ago

Suppose that a monopolist

daser333 [38]

Answer:

The monopolist's net profit function would be:

$N(y)=198\,y\,-\,2.5\,y^2$

Step-by-step explanation:

Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.

Therefore, if the demand curve is given by the function:

$P(y)=200-2y$

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.

Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

$I(y)=y*P(y)\\I(y)=y\,(200-2y)\\I(y)= 200y-2y^2$

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

$N(y)=I(y)-C(y)\\N(y)=(200\,y-2y^2)-(2y+0.5y^2)\\N(y)=198\,y\,-\,2.5\,y^2$

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3 years ago

How many students play all three sports: tennis, football and baseball?

alekssr [168]

Answer:

Step-by-step explanation:

6 students play all three sports.

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2 years ago