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kotegsom [21]
2 years ago
7

Factor completely 3x3 − 3x2 − 18x.

Mathematics
1 answer:
pashok25 [27]2 years ago
4 0
3x^3 -3x^2 -18x = 3x(x^2 -x -6) = 3x(x-3)(x+2) so the 3rd choice is right sure 

hope helped 
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Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and
Alchen [17]

Answer: i. There are 140 students willing to pay $20.

ii. There are 200 staff members willing to pay $35.

iii. There are 100 faculty members willing to pay $50.

Step-by-step explanation: Suppose there are three types of consumers who attend concerts at Marshall university's performing arts center: students, staff, and faculty. Each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. There is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs.

For each concert:

A) If the performing arts center can charge only one price, what price should it charge? What are profits at this price? B) If the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits?

C) If the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

8 0
2 years ago
A bicycle tire has a radius of 13 1/4 inches. How far will the bicycle travel in 40 rotations of the tire? Round to the nearest
Sergeu [11.5K]

Answer:

the bicycle will travel 277.5 feet or 3,330.1 inches.

Step-by-step explanation:

the circumference(distance around a tire) is calculated by multiplying a circles diameter by pi. the diameter is twice the length of the radius.

so if you multiply 13 1/4 by 2 you get 26 1.5 if you multiply that by pi than you get the circumference. then multiply this by 40 to get the inches traveled and divide that by 12 to get the number of feet traveled.

8 0
3 years ago
5x88x9x7x3x9x10x31x47=
Gre4nikov [31]
1.09047708 E10 i guess
6 0
2 years ago
Read 2 more answers
Please help the problem is below.
Anna007 [38]

Answer:

1. $1,122
2. $485.25

3. $440

4. $2,047.25

Step-by-step explanation:

1. 22 feet * 17 feet = 374 square feet * $3 per square foot = $1,122
2. 17 feet * 10 feet * 4 walls = 680 square feet. 680 feet - (7ft*3ft for the door) - (2*2ft*3ft for the windows) = 647 square feet * $0.75 per square foot = $485.25
3. 374 square feet/ $88 per gallon = 4.25 gallons which rounds up to 5 gallons, and 5 gallons at a cost of $88 per gallon = $440
4. $1,122 + $485.25 + $440 = $2,047.25

6 0
1 year ago
Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo
lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

r(E.week)=\frac{0.09265}{52} =0.00178173

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

r(e.a)=(1+r(e.week))^{52} -1

r(e.a)=(1+0.00178173)^{52} -1=0.09699

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

r(E.month)=\frac{0.09442}{12} =0.00786833

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

r(e.a)=(1+r(e.month))^{12} -1

r(e.a)=(1+0.00786833)^{12} -1=0.09862

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

r(E.quarter)=\frac{0.09719}{4}=0.0242975

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

r(e.a)=(1+0.0242975)^{12} -1=0.10079

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0
2 years ago
Read 2 more answers
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