The number of computers a certain computer store sold since 2005 can be modeled by the function N(t)=5t+106 and the price per computer can be modeled by P(t)=13t^2-25t plus 600, where t is the number of years since 2005. According to this model, what is the total amount of revenue generated by the computer store's sales in 2010? Round your answer the nearest cent.

Answers

Answer 1

Answer:

104800

Step-by-step explanation:

The revenue is the profit times the number of computers sold

R(t) = P(t) *  N(t)

              = (13t^2-25t+600) * ( 5t+106)

We want the revenue in 2010 which is 5 years from 2005  so t = 5

R(5) = (13* 5^2-25*5+600) * ( 5*5+106)

       = (13 *25 - 125+600)*(25+106)

      = (325-125+600) * ( 25+106)

        (325-125+600) * ( 25+106)

         800* 131

          104800

Answer 2

Answer:

104,800

Step-by-step explanation:

2010 is 5 years after 2005, so t = 5

The number of computers sold:

N(5)=5(5)+106 = 131

Price per computer:

P(t)=13(5²)-25(5)+600 = 800

Revenue:

N × P

131 × 800

104800


Related Questions

Simplify the polynomial expression
(-2m2 + m - 15) - (4m2 + 7m - 2)

Answers

Answer:

-6m^2-6m-13

Step-by-step explanation:

(-2m^2+m-15)-(4m^2+7m-2)

-2m^2+m-15-4m^2-7m+2

-6m^2-6m-13

Fourteen subtracted from the product of a number and -3 is 25

Answers

Answer:

5.5 is the number.

Step-by-step explanation:

14-(-2x)=25

Solve the equation.

2x=11

x=5.5

The value of number is -13.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values. . In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Fourteen subtracted from the product of a number and -3 is 25

let the number be x

product of a number and -3= -3x

and, Fourteen subtracted from the product of a number and -3

= -3x- 14

So, -3x -14 = 25

-3x = 25+14

-3x = 39

x= -13

Hence, the value of x is -13.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ5

Find the value of the variables for each set or similar figures

Answers

Answer:

3

Step-by-step explanation:

What are the coordinates of the x-intercept of the equation 2x - 3y = 8?

Answers

Answer:

(4;0)

Step-by-step explanation:

y=0

2x-3×0=8

2x=8

x=4

4) Gina pays $0.50 each time she plays a carnival game. The game is on a spinner with 12 equal-sized sections, labeled 1 through 12. She wins a prize if the pointer lands on 3, 5, or 7. If Gina spends $4 playing the game, predict the number of prizes she can expect to win.

Answers

Answer: 2 prices

Step-by-step explanation:

Price per play = $0.50

Total amount incurred by Gina in playing =$4

Therefore, total games played :

$4 ÷ $0.5 = 8 games.

Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)

Required for winning = (3, 5, 7)

Probability of winning:

P(WIN) = ( required outcome / Total possible outcome)

P(win) = 3/12 = 1/4

Therefore, the number of prices she can expect to win is (1/4) × number of games (8)

(1/4) × (8) = 2

Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.

Answers

It’s not too hard,

I hope that helps.

Mrs Andrews had 1 2/8 pizzas left after her pizza party.After giving some to mr.Andrews,she had 6/8 left.What fraction of the pizza did she give to mr.Andrews?Use the fraction models to help you solve the problem.

Answers

Answer: 4/8

Step-by-step explanation:

From the question, Mrs Andrews had 1 2/8 pizzas left after her party and after giving some to Mr Andrews, she then had 6/8 left.

To know the fraction given to Mr Andrews, we subtract 6/8 from 1 2/8. This will be:

= 1 2/8 - 6/8

= 4/8

She gave 4/8 to Mr Andrews.

Solve the following:

A) a/5+3=8
B) 3b/7-1=5

Answers

Answer:

A)25

B) 14

Step-by-step explanation:

A) a/5 + 3 = 8

    a/5 = 8 - 3

    a = 5 x 5

    a = 25

B)  3b/7 -1 =5

     3b/7 = 5+1

     3b = 6 x 7

      b = 42/3

      b = 14

The absolute value of -1/4 is

Answers

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

The pig pen below has a width of 7 feet and a length of 4 feet. What is the area of the pig pen. Show your work and remember that area is in square units. Hog Pen with Cover: Little Buster Toys

Answers

Step-by-step explanation:

It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.

????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Answer:

the answer you are looking for is b=7

hey guys! i would be a HUGE favor if you could help me out with this problem. thx so much, it means alot!! <3

Answers

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Which expression is equivalent?

7 − 4(2x − 3)
A) 8x + 5
B) 8x − 19
C) −8x + 5
D) −8x + 19

Answers

D is the answer -8x + 19

Answer:

this is so overdue

Step-by-step explanation:

Enter the division problem 15 ÷11 as a fraction.

Answers

Answer: 15/11

Step-by-step explanation:

Answer:

15 ÷ 11 as a fraction is 15/11. As a mixed number it is 1 4/11.

Step-by-step explanation:


The ratio of hens to rabbits in the barn at Wunderlich Farms is 3 to 5. If there are nifty-six animals in the barn, how
many are rabbits?
11
35
21
36

Answers

Answer:

35 rabbits

Step-by-step explanation:

hens : rabbits : total

3     : 5 :  3+5

3     : 5 :  8

We have 56 total animals

56/8 = 7

Multiply each term by 7

hens : rabbits : total

3*7     : 5*7 :  8*7

21       : 35     : 56

There are 21 hens and 35 rabbits    

A bag contain 8 blue balls, 7 green balls and 5 red balls.What is the probability that the ball is red?

Answers

Answer:

A bag contains:

8 blue balls.

7 green balls.

5 red balls.

The probability that the ball is red would be:

P = Red balls/Total balls = 5/(5+7+8) = 5/20 = 1/4 =0.25

Hope this helps!

:)

Answer:

0.25

Step-by-step explanation:

Total balls: 8 + 7 + 5 = 20

Red balls: 5

P(red) = 5/20 = 0.25

What is the equation

Answers

Answer:

76

Step-by-step explanation:

-4x + 104 = -200

-4x = -304

4x = 304

x=76

Park View Apartments has 2 buildings. Each building has 3 floors. Each floor has
16 windows. What is the total number of windows in the Park View Apartment
buildings?
What Is The Answer

Answers

Step-by-step explanation:

2 Buildings : 3 Floors Each : 16 Windows per Floor

Multiply 2 and 3 to get the total amount of floors.

2 times 3 equals 6

Then, multiply 6 and 16 to get the total amount of windows in the Park View Buildings.

6 times 16 equals 96

Therefore, there are 96 windows in total or 48 windows per building

can't figure this out.. please help if you can.

Answers

Answer:

1725 square feet

Step-by-step explanation:

[tex]area \: of \: yard = \frac{1}{2} (50 + 65) \times 30 \\ = 115 \times 15 \\ = 1725 \: {ft}^{2} \\ [/tex]

Answer:

1725 sq ft

Step-by-step explanation:

50+65=115

115/2=57.5

57.5*30=1725

Noah pays $25.20 for non-perishable food items to give to the local homeless shelter,
The price includes a 5% sales tax.
What is the price before tax, 6, of
the food items?
b=$
w

Answers

Answer:

The original price of the food items was 24.



Suppose you had 28 baskets of 6 apples and 5 baskets of 9 apples.

How could you quickly figure out how many baskets of 3 apples you could create?

Answers

Answer:

71 baskets of 3 apples.

Step-by-step explanation:

From each of the 28 baskets of 6 you can get 6/3 = 2 baskets of 3.

From each of the 5 baskets you can get  9/3 = 3 baskets of 3.

Therefore:-

From the 28 baskets you can create 28 * 2 = 56 baskets of 3.

From the  5 baskets of 9 you can get 5 * 3 = 15 baskets of 3.

Total 15 + 56 = 71.

Find the perimeter and the area of the polygon with the given vertices.

S (3,0), T (3,9), U (8,9), V (8,0)

Answers

Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

Please help me I really need your help please help me

Answers

Answer:

Step-by-step explanation:

Q8) Diameter = 14 in

r = 14/2 = 7 in

Area of missing chunk = πr²/4

                                    = (3.14 * 7 * 7)/4

                                    =1/4(3.14*7*7)

option 4

Q9) 90 degrees

Q10) Each minute = 6°

      In the figure shown, it is 15 minutes

  = 15* 6 = 90 degrees

Select all the equations where a = 8 is a solution.
Choose 3 answers:
A 2 + 11 = 15
6 l = 8 + 0
©
15
a = 23
0 42 = 7a​

Answers

Answer: B, C  and E

Step-by-step explanation:

Sasha is solving a multi-step equation. Her first step is shown below.
Equation: 3. - 8- 10x = 3(2x +3)
Step 1: 3 -- 10x - 8 = 6x + 9
Which properties did Sasha use to get to Step 1? Select all that apply.

addition property of equality

associative property of addition

commutative property of addition

multiplication property of equality

distributive property of multiplication over addition

Answers

Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

Vijay's family needs a new microwave. There is one on sale that measures 20 inches by 14 inches by 11 inches. What is the volume of the microwave?

Answers

Answer:3080”

Step-by-step explanation:

The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.

What is the solution to the system of equations?
O (4,3)
O 1-3.4)

Answers

Answer:

(3, - 4) is the solution to the system of equations.

Step-by-step explanation:

1. Rewrite one of the equations so it eighter starts with y= or it starts with x=

Here the easy way is to write X+y=-1 in the form x=

X= - y - 1

2. Substitute X= - y - 1 in the other equation 5X+3y=3:

5X+3y=3

X= - y - 1

5(- y - 1)+3y=3

-5y -5 +3y = 3

-2y = 3 +5

2y = -8

y = - 4

3. Now substitute this value y = - 4 in X= - y - 1

X= - (y) - 1

y = - 4

X= - (- 4) - 1

X = 4 - 1

X =3

4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.

I have a test to do today and I need help with it, i don't understand any of it. I will copy and paste it here: IQ scores are normally distributed with a mean of 100 and standard deviation of 15. 1) About what percent of people would have IQ between 85 and 115? 2) About what percent of people would have IQ between 70 and 130? 3) About what percent of people would have IQ above 130? 4) If a school had 255 students, about how many would you expect to have an IQ less than 70? 5) If a school had 1531 students, about how many would you expect to have an IQ greater than 145? 6) If a school has 354 students with an IQ between 100 and 130, about how many students does the whole school have?

Answers

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

If an event has an 80% probability of happening, which word is the best description?
(1 Point)
Certain
Likely or Probable
Unlikely or Unprobable
Impossible

Answers

Answer:

likely or probable

Step-by-step explanation:

hhhgfd

Likely or probable

Consider circle C with angle ACB measuring 3 pi/4 radians if minor arc AB measures 9 pi inches what is the length of the radius of circle C if necessary round your answer to the nearest inch

Answers

Answer:

r = 12 inches

Step-by-step explanation:

In this question, we are asked to calculate the length of the radius of the circle.

This is accessible from using the length of an arc.

Mathematically, the length of an arc can be calculated using the formula;

Theta/360 * 2 * pi * r

Where Theta is the angle subtended at the center and r is the radius of he circle.

According to the question, Theta is 3pi/4 radians or let’s just say 0.75pi . This to degrees will be 135 degrees ( pi = 180 degrees)

Thus we have;

9 pi = 135/360 * 2 * pi * r

divide through by pi

9 = 270r/360

360 * 9 = 270r

r = (360 * 9)/270

r = 12 inches

Answer:

b

Step-by-step explanation:

Other Questions
Imagine that you are given the opportunity to create your own TV channel and select the programming that appears on your channel. write a TV listing page from a television guide in which you name and describe the programs you would show, including the type of programs that they are, what they are about and a critic's opinion of each one. use as many Spanish vocabulary words and phrases as possible in your TV listing. 2 + 5y = 6x+2y = -3 what is x? THIS IS MATH WORK AND IS VERY CONFUSING I NEED HELP PLEASEASAP PLEASE (Could you show work too thanks :D) pls help it will mean alot!!due rn!! The temperature during a winter day was less than 8 degrees Fahrenheit. Digby wants to write an any quality for the temperature during the winter day. What constant should Digby use in the inequality? Which word with x has a different pronunciation than the other three? a. xito b. examen c. prximod. exclamar Fast pace and slow pace both serve a narrative byproviding lots of action.gradually letting events happen.giving many descriptive details.moving the plot forward. Erosion is the process by which soil and sediments are moved by gravity, wind, and water. Erosion occurs naturally, but it can be accelerated by human activity. Which of these human activities most contributes to soil erosion? Group of answer choices A.biking on forest trails B.boating on a lake C.cutting down trees .D.fertilizing a lawn (its a science question) Based on the passage, which of the following sets of notes are ordered most appropriately?A. the releasing of high energyobserved on September 1, 1859solar flares stay near the Sun11-year period cyclesdamages space equipmentB. in the Sun's outermost atmospherenoticed on September 1, 1859observed by Carrington and Hodgsoncontains radio waves and gamma raysdisruption of radio communicationC. high-energy particles are heatedmore solar flares at cycle's heightdiscovered in 1859affects communications on Earthendangers astronautsD. bright, high-energy spots on the Sundiscovered by Carrington and Hodgsonoccurs generally in a 11-year periodimpacts the space around the Sunreleases radiation that affects people Determine if y = 5 is a solution for 2y = 15. What is the hydrogen ion concentration [H+] of a HCl solution if the pH is measured to be 2.0? The Red Wolf Society, a nongovernmental not-for-profit organization, receives numerous contributed hours from volunteers during its busy season. Tom, a clerk at the local government utilitys office, volunteered ten hours per week for 8 weeks transferring wolf food from the port to the wolf shelter. His rate of pay at the utility office is $20 per hour, and the prevailing wage rate for laborers is $15 per hour. What amount of contribution revenue should Red Wolf Society record for this service? Multiple Choice $1,200 $400 $1,600 $0 The horizontal distance between a crest to the next trough of an ocean wave is 5 meters.What is the wavelength of the ocean wave? (5 points)2 meters5 meters10 meters20 meters During the winter this species of fox has white fur, but in the summer, it has brown fur. What environmental change may have lead to this fox's fur color? Convert 4.5 x 10to a normal number Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 530 males surveyed, 175 responded "Yes"; among the 575 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts below.(a) Determine the sample proportion for each sample. The proportions of the females and males who took the survey who are annoyed by the behavior in question are ____and _____ respectively. (Round to four decimal places as needed.) (b) Explan why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply. A. The sample size is more than 5% of the population size for each sample B. The sample size is less than 5% of the population size for each sample C. The samples are dependent. D. The data come from a population that is nornally distributed. E. np (1-) 10 and n2p2 (1-2) 210 F. The samples are independent. (c) What are the null and alternative hypotheses? Let p1 represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question. What is the square root of 7/9? If a/b=1, what is the value of a-b? A consumer values a house at $525,000 and a producer values the same house at $485,000. If the transaction is completed at $510,000, the transaction will generate: a. No surplus b. $25,000 worth of seller surplus and unknown amount of buyer surplus c. $15,000 worth of buyer surplus and $25,000 of seller surplus d. $25,000 worth of buyer surplus and unknown amount of seller surplus In the past, scientists were not interested in ancient weather records. Many of the records were thought to beincorrect. Some were impossible to understand. But lately, some scientists are changing their minds. They arenow looking more closely at the records. They are looking for significant changes in weather patterns. Scientistscall these records "weather diaries." These diaries have been kept for many years all around the world.Now, the diaries are___A.usefulB.largeC.emptyD.scarce