A guitar factory has a cost of production C(x) = 100x + 56000 , where is the number of guitars produced . If the company needs to break even after 150 units sold, at what price should they sell each guitar ? Use the variable p to represent the price Round up to the nearest dollar .

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is

C(150) = 100(150) + 56000 and

C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for

p(x) = 71000/150 so

p(x) = 473.33 or 474

Answer 2

Answer:

Answer:

473.33 units

Step-by-step explanation:

The breakeven point is the level of production at which the costs of production equal the revenues for a product. So, considering P the price of a guitar unit, we have that:

C(150) = 150.P

P = C(150)/150

P = (100.150 + 56000) / 150

P = (15000 + 56000) / 150

P = 71000/150

P ~ 473.33 units of currency per guitar

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Evaluate f(x) = x2 + 3x − 4 when x = 4:

Answers

Answer:

f(x)=24

Step-by-step explanation:

Replace x in the function with the value 4.

f(4)= (4)^2 + 3(4) - 4

16 + 12 -4

28 - 4

F(x)= 24

Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket, how much did he have left out of $100 bill?

Answers

Answer:

$49

Step-by-step explanation:

We have been given that Eric bought lunch for him and his friends at Papa's Pizza. His bill was $50 with tax. If he used a 15% off coupon and then left a 20% tip based on the discounted ticket.

First of all, we will find amount of bill after 15% discount by finding 85% of $50 as:

$\text{Bill after 15 percent discount}=\$50* (85)/(100)$

$\text{Bill after 15 percent discount}=\$50* 0.85$

$\text{Bill after 15 percent discount}=\$42.5$

Amount paid in tip would be 20% of $42.5, so total amount paid after 20% tip would be 42.5 plus 20% of $42.5.

$\text{Total amount of bill after tip}=\$42.5+\$42.5* (20)/(100)$

$\text{Total amount of bill after tip}=\$42.5+\$8.5$

$\text{Total amount of bill after tip}=\$51$

Now, we will subtract $51 from $100 to find amount of change that is $\$100-\$51=\$49$

Therefore, Eric will get $49 in change.

Answer:

Step-by-step explanation:

50*0.85 (15% off) = 42.5, 42.5*1.20 (20% tip) = 51, 100-51 = 49

Two towns are 1,100 miles apart. A group of hikers Starts from each town and walks down the trail toward each other. They meet after a total hiking time of 240 hours. If one group travels 2 1/2 mile per hour slower than the other group, find the rate of each group.

Answers

Answer:

3.54 and 1.04

Step-by-step explanation:

Given:

Two towns are 1,100 miles apart.

A group of hikers Starts from each town and walks down the trail toward each other..

They meet after a total hiking time of 240 hours.

If one group travels 2 1/2 mile per hour slower than the other group.

Question asked:

Find the rate of each group.

Solution:

Let speed of faster hiker = $x\ mph$

Speed of slower hiker = $x-(5)/(2)\ mph$

As we know:

$Distance=speed* time$

Total distance between two town = Total combined speed of both hikers $*$ Total combined time taken

$1100=(x+x-(5)/(2) )*240\n \n Dividing\ both\ sides\ by\ 240\n \n 4.58=(x+x-(5)/(2) )\n \n 4.58=2x-(5)/(2) \n \nAdding\ both\ sides\ by\ (5)/(2) \n \n 4.58+ (5)/(2)=2x- (5)/(2)+ (5)/(2)\n \n (2*4.58+5)/(2) =2x\n \n (14.16)/(2) =2x\n \n By \ cross\ multiplication\n \n 2*2x=14.16\n \n 4x=14.16$

$By\ dividing\ both\ sides\ by \ 4\n \n x=3.54\ miles\ per\ hour$

Speed of faster hiker = $x\ mph$ = 3.54 miles per hour.

Speed of slower hiker = $x-(5)/(2)\ mph$ =

$3.54-(5)/(2) =3.54-2.5=1.04\ miles\ per\ hour$

Therefore, speed of faster hiker is 3.54 miles per hour and speed of slower hiker is 1.04 miles per hour.

The four hand of a clock moves from 12 to 5 o'clock through how many degrees does it move?

Answers

to find the answer you have to first find how many degrees are there in between each number in the clock. the clock is 360°degrees and there are 12 numbers marked in a clock., so you have to divide 360 by 12 to get the number of degrees in between each number,
360°÷12=30° so there are 30°degrees between each number.

if a clock hand moves from 12 to 5, it pass 5 numbers, so to get your final answer you have to multiply 30° by 5=150°.

so your answer is 150°degrees.
hope you can understand what i said. :)

Which choice is equivalent to the expression below when x 0?√18X^30-√9X^3+3√X^3-√2X^3

A.2√2X
B.4√X
C.2X√2X
D.√10X^3

Answers

$√(18x^3)-√(9x^3)+3√(x^3)-√(2x^3)\n\n=√(9x^2\cdot2x)-√(9x^2\cdot x)+3√(x^2\cdot x)-√(x^2\cdot2x)\n\n=3x√(2x)-3x√(x)+3x√(x)-x√(2x)=2x√(x)\n\nAnswer:C.$

$√(18x^3)-√(9x^3)+3√(x^3)-√(2x^3)=\n 3√(2x^3)-3√(x^3)+3√(x^3)-√(2x^3)=\n 2√(2x^3)=\n 2x√(2x)\Rightarrow C$

Dan's school is planning a field trip to an art museum, Bus company A charges a $60 rental fee plus $4 pestudent. Bus company B charges $150 plus $2 per student. How many students would have to go for the
cost to be the same?
A 90 students
B 50 students
C 45 students
D 15 students

Answers

Answer:

C 45 students

Step-by-step explanation:

45x4= 180

180 plus 60 equals 240

45x2= 90

150 plus 90 equals 240

Answer:

Step-by-step explanation:

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