A sporting equipment company wants to sell a new bicycle helmet. They have developed a function, shown below, where total profit, p, can be determined based on sale price, s.



What will be the total profit if the sale price of the helmet is $60?

Answers

Answer 1

Answer:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600

Step-by-step explanation:

Using the following info in order to complete the problem:

p(s)=-24s^(2)+2200s-18000

$112,560

$27,600

$111,120

$236,400

$14,240

We have the following function given:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600


Related Questions

in a class of 60 student, the number of student who passed biology is 6 more than the number who passed chemistry every student passed both at least one of the two subjects and 8 student passed both subject​

Answers

Firstly we need to find how many students passed chemistry or biology

60-8=52 studdnts passed biology or chemistry

Let number of students who passed chemistry is x, than number of students who passed biology is 52-x.

[tex]52 - x - x = 6 \\ - 2x = - 46 \\ x = 23[/tex]

So, 23 students passed chemistry, than

23+6=29 students passed biology

Answer: 23 students passed chemistry and 29 students passed biology

Answer:

23 students passed chemistry and 29 students passed biology

Step-by-step explanation:

n+3=28 what does n equal

Answers

Answer:

25

Step-by-step explanation:

Help 50 PTS

Compare the mean of the prices of Felix's books and of Tyler's books. What do the differences in the means tell you about the prices of the two sets of books?

Felix Mean: 10.21

Tyler Mean: 77.36

Answers

Answer:

It tells you 2 different things

Step-by-step explanation:

1. It could tell you that Tyler's book is much more expensive than Felix's.

2. It could tell you that they're the same price but Tyler sold more.

Answer:

The means are very different, so almost all of Tyler's books are more expensive than Felix's books.

Step-by-step explanation:

used this for my test and it was correct.

A game comes with a deck of cards with each card showing one of the numbers 2,3,4,5,6, or 8. Each card occurs one time in red and one time in purple, and one time in blue. Given that a blue card is drawn what is the probability the card is 4

Answers

Answer:

0.1667 = 16.67%.

Step-by-step explanation:

We already know that the card drawn is blue, so now we need to check the value of the card.

The blue cards have 6 possibilities of values (2, 3, 4, 5, 6 or 8), and the number 4 appears only 1 time, so the probability of the blue card having the value 4 is the number of times this value occurs by the number of possible values:

P = 1/6 = 0.1667 = 16.67%.

Marley borrowed $5,800 at a siniple interest rate of 7%% per year.After a certain number
of years she had paid $1,305 in interest altogether.How many years was that? *

Answers

Answer:

About 3 1/4 years.

Step-by-step explanation:

An equilateral triangle has a side length of 7 cm. If a perpendicular is dropped from a corner, what is the length of the perpendicular?

Answers

Answer:

6.06cm

Step-by-step explanation:

An equilateral triangle is a triangle that has all its sides equal. If the given  equilateral triangle has a side length of 7 cm, then all its sides are 7cm each. To get the length of the perpendicular dropped from a corner. we will use the Pythagoras theorem.

According to the theorem,

hyp² = opp²+adj²

Lets take the height as the opposite side of one of the right angled triangle as shown in the attachment.

hyp = 7cm and adj = 7/2 = 3.5cm

opp² = 7² - 3.5²

opp² = 49 - 12.25

Opp = √36.75

Opp = 6.06cm

This shows that the length of the perpendicular is 6.06m


If a number cube is rolled, how many times would we expect to get a number greater than 4 out of 240 trials?

40
60
80
100

Answers

89 I think because I took the test
240 divided by 4 is 60

Nina woke up at 8:00 A.M. At noon the temperature had risen 8°F. By 1:00 P.M. The temperature had risen another 4°F. There was a thunderstorm at 4:00 P.M. By 7:00 P.M. The temperature had fallen 11°F since 1:00 P.M. To 62°F. What was the temperature when Nina woke up?

Answers

Answer:

  61 °F

Step-by-step explanation:

If T is the temperature at 8 a.m., we have ...

  T +8 +4 -11 = 62

  T +1 = 62

  T = 61 . . . . . . subtract 1

The temperature was 61 °F when Nina woke up.

There are 20 horses in a field one quarter of the horses are brown how many brown horses are there

Answers

Answer:

20 is total

1/4 of 20 = 5

5 horses are brown

Answer:

5

Step-by-step explanation:

20 divided by 1 quarter is 5.

Bao is mixing flour and water

Answers

Answer:

You get dough

Step-by-step explanation:

When mixing those two ingredients you can get dough when mixing perfectly

Please answer correctly !!!! Will mark brainliest !!!!!

Answers

Answer:

7

Step-by-step explanation:

Look at the x-axis at -1, it [-1,7]

If f(x) = 6x-4 what is the value of f(8)

Answers

Answer:

f(8) = 44

Step-by-step explanation:

f(x) = 6x-4

Let x = 8

f(8) = 6(8) - 4

Multiply

     = 48 -4

    = 44

QUESTION 6,7,8 PLS HELP

Answers

Answer:

6) a.

7) d.

8) a.

I hoped this helped! Please mark me brainliest. Thanks!

Can you list all the properties of a parallelogram ?

Answers

Answer:

1. the interior angle measure of a parallelogram is 360 degrees

2. diagonal of a parallelogram bisect it into two congruent triangles

3. opposite angles of a parallelograms are congruent

4. a parallelogram has two pairs of parallel sides.

5. consecutive angles of a parallelogram are supplementary

Step-by-step explanation:

Which number is a common factor of 48 and 72?
A) 7
B) 9
C) 12
D) 16

Answers

Answer:

12

Step-by-step explanation:

just do 48 divide by all numbers until you get a answer that is a whole number you can just know that 12 goes into 48

Answer:

24, 12, 8, 6, 4, 3, 2, 1

These r the numbers I got.

Step-by-step explanation:

So I am thinking 12. Because 12 is the only number in the A B C and D. And 12 is up there. So 12.

48 divided by all numbers until you get a answer, in both. Which would be 12.

The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6 m long, 4 m wide, and 2 m high The second aquarium is 8 m long 9 m wide and 3 m high how many cubic meters of space do the sea turtles have in their habitat

Answers

Answer:

264 cubic metres

Step-by-step explanation:

We need to find the volume of both aquariums and add them up.

The aquariums are shaped as rectangular prisms.

The volume of a rectangular prism is:

V = L * W * H

where L = length, W = width, H = height

The first aquarium is 6 m long, 4 m wide, and 2 m high. Its volume is:

V = 6 * 4 * 2 = 48 cubic metres

The second aquarium is 8 m long, 9 m wide and 3 m high. Its volume is:

V = 8 * 9 * 3 = 216 cubic metres

The amount of space the turtles have is therefore:

V = 48 + 216 = 264 cubic metres

help me, my brain is in pain.

Answers

Answer:

approximately the answer would be D

Step-by-step explanation:

Just multiply side of A  to all

An equilateral triangle has what type of symmetry

Answers

Answer:

An equilateral triangle has one line of symmetry

Step-by-step explanation:

Answer:

3 lines of symmetry

Step-by-step explanation:

An equilateral triangle has three lines of symmetry. It has rotational symmetry of order 3. It has three equal sides.

your welcome<3

Find the equation of a line that is perpendicular to line g that contains (P, Q).

Answers

Answer:

the answer is B

Step-by-step explanation:

im smart

Solve the system of equations
14x+y=−4
y=3x2−11x−4

Answers

Answer:

(x,y)= (-2,24)

Step-by-step explanation:

Answer:

(0,-4) & (-1,10)

Step-by-step explanation:

solve for the first variable in one equation then substitute the result into the other equation.

Point form:

(0,-4) & (-1,10)

Equation form:

x=0 y=-4

x=-1 y=10

what is 1/16 times 3​

Answers

Answer:

[tex]\bold{\frac{3}{16} }[/tex]

Explanation:

1 / 16 (3)

= (1 / 16) (3 / 1)

= (1)(3) / (16)(1)

= 3 / 16

A new phone costs $450. There is a 40% discount on the price of the phone and an 8% sales tax on the discount price. What is the final cost of the phone after the discount and the sales tax?

Answers

Answer:

291.60 is the final cost

Step-by-step explanation:

First find the cost of the phone before tax

Discount

450*.40

180

Price after discount

450-180

270

Now find the tax

270* 8%

270 *.08

21.60

Add this to the price after discount

270+21.60

291.60

Answer:

291.60

Step-by-step explanation:

40% of 450 is 270 and 8% of 270 is 21.6 so add 21.6 to 270 and you get 291.60

work out ⅕ of 80
work out 48÷½​
❤︎シ︎✌︎

Answers

Step-by-step explanation:

1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.

48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.

Correct answers only please!

To the nearest cent, how much interest will she earn in 2 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

A = $ 9,257.50

A = P + I where

P (principal) = $ 7,000.00

I (interest) = $ 2,257.50

Step-by-step explanation:

On a coordinate plane, a line segment contains points (negative 5, 5) and (5, 0). Another segment contains points (negative 1, 1) and (1, 0). The segments shown are dilations of each other about the origin. Which statement could be true? The coordinate (1, 0) is from a dilation using the scale factor of One-fifth. The coordinate (5, 0) is from a dilation using the scale factor of 4. The coordinate (1, 0) is from a dilation using the scale factor of 5. The coordinate (5, 0) is from a dilation using the scale factor of One-fifth.

Answers

Answer:

A.The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.

Give the credit to the other person,

Will give Brainliest!

What is the "Zero Product Property"?

Provide an example please!!

Answers

Answer:

The Zero Product Property basically means that is ab=0 , then either a=0 or b=0. (Or even both). A product of factors is zero if and only if one or more of the factors is zero.

Example:  (2x-1 ) (x +4) = 0

Step-by-step explanation:

The garden has an area of 28 square meters. The length of the garden is 7 meters. What is the width of the garden?

You have to find the width

Answers

Answer:

The answer is 4

Step-by-step explanation:

Since the total area is 28, and the length is 7. Therefore 28 divided by 7 equals 4.

Hope this helps

Answer:

4 meters

Step-by-step explanation:

Let's assume this is a rectangular garden.

The area of a rectangle can be found using:

a=l*w

We know the area is 28 square meters and the length is 7 meters. We can substitute 28 in for a, and 7 in for l.

28=7*w

Now we need to solve for w. To solve, we have to get w by itself. 7 and w are being multiplied. To reverse this, divide both sides by 7.

28/7=7*w/7

28/7=w

4=w

The width is 4 meters

Find the 12th term of the geometric sequence 8, 16, 32, ...

Answers

Answer:

Step-by-step explanation:

\[a_{n}=a{1}r^{n-1}\]

r=16/8=2

a_{12}=8(2)^{12-1}

[tex]a_{12}=8(2)^{11}=16384[/tex]  

The 12th term of the geometric sequence is 16384.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same common ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, a geometric sequence  8, 16, 32,... which has a common ratio(r)

= 16/8 and first term a₁ = 8.

We know nth term of a geometric sequence is aₙ = a₁rⁿ⁻¹.

∴ 12t term of the geometric sequence is a₁₂ = 8.2¹²⁻¹

=  8.2¹¹.

= 8.2048.

= 16384.

learn more about geometric sequence here :

https://brainly.com/question/11266123

#SPJ2

Please help me solve the right triangle. Round decimal answers to the nearest tenth.

Answers

Answer:

see below

Step-by-step explanation:

tan theta = opp/ adj

tan S = 45/24 = 15/8

tan R = 24/45 = 8/15

Jose's ball is stuck on the roof of his home, which is 8 feet high. He wants to use a ladder to climb up and get his ball. If he sets the base of the ladder 6 feet away from his home, what is the minimum length that the ladder can be? Explain how you solved this question using context and at least three sentences. Hint: Draw your the scenario and label given values.

Answers

Answer:

10 feet

Step-by-step explanation:

It becomes a right-angled triangle with height of 8feet and base of 6feet.

Using Pythagoras theorem:

a² = b² + c²

a² = 8² + 6²

a² = 64 + 36

a² = 100

a = √100

a = 10

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