8 Line in the xy-plane contains points from each of Quadrants II, III, and IV, but no points from Quadrant I. Which of the following must be true? A) The slope of line is undefined. B) The slope of line is zero. C) The slope of line is positive. D) The slope of line is negative. CONTINUE

I dont think so lol try drawing it out a translation is the same shape or point but in another quadrant either over the x axis or y axis

Final answer:

The charity needs to earn 55,000 dollars. Subtracting the donation of 10,000 they need to make 45,000 dollars from the race entries. They make 40 dollars per entry, so dividing 45,000 by 40 gives the number of race entries needed: 1125.

Explanation:

The charity makes $40 per race entry ($55 entry fee minus the $15 cost). It also receives an additional $10,000 in donations. To raise at least $55,000, the charity would need to make at least $45,000 from race entries because $55,000 - $10,000 = $45,000. This is the target earnings from the race entries.

The race entry is $40 so we divide the target by the amount earned per race to find out the number of race entries needed: $45,000 / $40 = 1125. Therefore, the charity would need to have at least 1125 race entries to raise at least $55,000.

So the inequality would be: 40x + 10,000 ≥ 55,000, where x is the number of race entries. Solving the inequality would give x ≥ 1125.

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Step-by-step explanation:

$55,000 - $10,000 = $45,000

$55 - $15 = $40

$45,000 : $40 = 1,125 race entries needed

The total cost of an item bought at a negotiated price of $14,380 is $12495.36.

Item bought at a negotiated price of $14,380, a $2,700 trade-in allowance,

A sales tax of 7.2 percent, and a $79  registration fee.

Let us find the cost of the item after 7.2% of sales tax.

What is the cost?

A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.

The cost of an item after 7.2% of sales tax will be equal to 15640 plus 7.2% of 15640.

The cost of items after sales tax

Therefore the cost of an item after 7.2% of sales tax will be 15415.36

Now let us add the registration fee to the cost of the item.

The cost after registration fees is to the cost of items

=15415.36+79

=15495.36

Now let us subtract $2700 trade allowance to find the total cost of the item.

=15495.36- 2700

=12795.36

Therefore the total cost is $12495.36.

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Answer:

The answer to this is option C: $12,794.36

Step-by-step explanation:

I just completed the test and this was the corrected answer.

The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is 0.0668.

Calculation of the probability:

Since The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.

Here  we need to find out the z score

=

= 1.5

Here we considered normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

So,  the average is less or equal to 78.

Now

Subtract from 1 to get the complement.

So,

P(x>78)=1-0.9332

=0.0668

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Answer:

0.0668

Step-by-step explanation:

Assuming the distribution is normally distributed with a mean of $75,

with a standard deviation of $12.

We can find the z-score of 78 using;

Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

This is the area corresponding to the probability that, the average is less or equal to 78.

Subtract from 1 to get the complement.

P(x>78)=1-0.9332=0.0668

Answer: it will take 5 years.

Step-by-step explanation:

Assuming it is simple interest, we would apply the formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

P = $1500

I = $375

R = 5%

Therefore,

375 = (1500 × 5 × T)/100

375 = 75T

T = 375/75

T = 5 years