From 1985 through 1995, the yearly gross farrm revenue (in millions) in the United States can be modeled by the function R(t)=-t^2+7t+159 and the yearly farm cost (in millions) in the United States can be modeled by the function c(t)=t^2+131 where t is the number of years since 1985. Write a new function, P(t), that models the yearly profit after 1985

Answers

Answer 1

The profit function is simply the difference between the revenue function and the cost function. The profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Given that:

[tex]R(t) = t^2 + 7t + 159[/tex]

[tex]c(t) = t^2 + 131[/tex]

The profit function P(t) is calculated as follows:

[tex]P(t) = R(t) - c(t)[/tex]

So, we have:

[tex]P(t) = t^2 + 7t + 159 - (t^2 + 131)[/tex]

Open brackets

[tex]P(t) = t^2 + 7t + 159 - t^2 - 131[/tex]

Collect like terms

[tex]P(t) = t^2- t^2 + 7t + 159 - 131[/tex]

[tex]P(t) = 7t + 28[/tex]

Hence, the profit function that models the yearly profit after 1985 is [tex]P(t) = 7t + 28[/tex]

Read more about profit functions at:

https://brainly.com/question/11334756


Related Questions

Evaluate.
8 x 8 = 5
+ 3 eights
<
= 40 +
h
RE
=

Answers

Answer:

[tex]8 \times 8 = 5 \: ( \:8 \: ) + 3 \: eights \\ = 40 + 24 \\ = 64[/tex]

I hope I helped you^_^

Write an equation of the line perpendicular to y=-3/4x that passes through the point ( 3,-8)

Answers

Answer:

y

=

4

3

x

+

4

3

Step-by-step explanation:

(4x – 6) + (5x + 1).

Answers

Answer:

9x - 5

Step-by-step explanation:

(4x – 6) + (5x + 1).

4x - 6 + 5x +1

9x - 5

Have a good day

Answer:

9x - 5

Step-by-step explanation:

To get the this answer you would combine like terms. 4x and 5x are like terms, so you would combine them and get 9x. -6 and 1 are like terms, so you would combine those and get -5.

What is 4=2x as a improper fraction or integer

Answers

Answer:

2/4 or 1/2

Step-by-step explanation:

Divide both sides by 2 and you get x=2/4. You can simplify further by dividing 2 and 4 by 2 to get 1/2

What are 2 or more fractions of each of these??

Answers

Answer:

Down below

Step-by-step explanation:

i. 80/100 = 4/5 = 80%

ii. 12.5/100 = 1/8

iii. 10/100 = 1/10

i, 80/100 = 4/5
ii, 12.5/100 = 1/8
iii, 10/100 = 1/10

Please help me, I really have to get this right or i’ll get my grade dropped. :/

Answers

Answer:

C. Q was flipped over the y axis

the perimeter of a rectangular tray is 60in the length of the tray is double the width of a tray determine the dimensions of the rectangular tray​

Answers

Answer:

Step-by-step explanation:

Width = w

Length = double the width = 2*w = 2w

Perimeter of rectangular tray = 60 in

2*(length + width) = 60

          2*( 2w + w) = 60    

                    2*3w = 60

                       6w  = 60

Divide both sides by 6

w = 60/6

w = 10 in

length =2w = 2*10 = 20

length = 20 in

Width = 10 in

five friends by a package of 12 cookies and want to share them equally each friend will get 1/5 of the cookies how much will each friend get

Answers

Answer:

2.4 cookies

Step-by-step explanation:

Just divide

Hi can you help please :)

Answers

Answer:  5 miles/hour

Step-by-step explanation:  The slope of the line is 5:  every 1 hour adds 5 miles to the distance travelled.

please help!!!!!!!!!!

Answers

Answer:

0.02

Step-by-step explanation:

2% of 3,000 is 60

3,000 x 0.02 = 60

(2-6i)(8+i)(9-3i). If u could show me the process that would be great ty <3

Answers

Answer:

(19)(-8i)

Step-by-step explanation:

(2 - 6i)(8 + i)(9 - 3i)

(2 + 8 + 9)(-6i + i - 31)

(19)(-8i)

Conditionals: photo attached

Answers

Answer:

 if the aninmal is fluffy then it is not an aligator

Step-by-step explanation:


Together, two pipes can fill a tank in 3 hours.
One pipe alone can fill the tank in 5 hours.
How long does it take for the other pipe to
fill the tank alone?

Answers

Answer: 7.5 (h)

Step-by-step explanation:

Let say

a the outflow of the first pipe

b the outflow of the second pipe

T the volume of the tank.

x the time for filling with the second pipe

two pipes can fill a tank in 3 hours: a*3+b*3=T

One pipe alone can fill the tank in 5 hours : a*5=T

3*b=T -3a ==> 3b= 5a*3a=2a

b=2a/3

b*x=T ==> 2/3*a*x=T ==> 2/3*T/5*x=T ==> 2/15*x=1

x=15/2 = 7.5 (hours)

Plz help. i’ll give brainliest

Answers

Answer:

x=157

first add up x+12and 124

add two times

and cancel with 2 it gives you 157

Step-by-step explanation:

Answer:

x=28 degrees

Step-by-step explanation:

140+140=280(Vertically opposite angles)

360-280=80(angles around a point is 360)

x+12=x+12(Vertically opposit angles)

x+12+x+12=80

2x+24      =80

           2x=56

              x=28

Hope u got it

If you have any question just ask me

If you think this is the best answer please mark me as brainliest

Cameron has a bag that contains one silver (S) and one gold (G) marble. The marbles are the same size. Cameron chooses one marble at random and then puts it back in the bag. Then he chooses a second marble. The outcome "GS" means that a gold marble was chosen first and a silver marble was chosen second.

Answers

Answer:

(SS,SG,GS,GG) Probability 0.25

Step-by-step explanation:

i don't know how to do this

Heyo!

So, first things first:

Based on the data shown, it appears that Cameron has 1/4 a chance to really recieve any combo of the following. Hence, he can get SS, SG, 6S, GG. So, each chance he picks, he has a 0.25 chance of probably recieving any of the combo. So, the outcome order is (SS, SG, GS, GG) and the probability for each is 0.25.

It hard to really describe how to write it out without an image, but I hope this helps! Pls, lmk if it does! Good luck!

(5,6) passes through 5

Answers

Jkiahkakabakanlqbalabakwbqkqbmq

Angel got a job at in-n-out burger. He works 20 hours a week and makes $15.75 an hour. How much will his
paycheck be after 2 weeks of work (before uncle sam takes away taxes

Answers

Multiply hours per week by hourly pay rate:

20 x $15.75 = $315.00 per week

Multiply by 2 weeks:

$315 x 2 = $630

After 2 weeks paycheck is $630

Answer:

630

Step-by-step explanation:

15.75 x 20 = 315

315 is how much Angel makes in one week

315 x 2 = 630

630 is how much he will make in two weeks

The 2 signifies how many weeks have been worked

Solve for n in the literal equation a(n − 5) + 6 = bn.

Answers

Answer:

(6-5a)/(b-a) = n

Step-by-step explanation:

a(n − 5) + 6 = bn

Distribute

an -5a +6 = bn

Subtract an from each side

an -5a+6 -an = bn-an

6-5a = bn-an

Factor out n

6-5a = n(b-a)

Divide each side by (b-a)

(6-5a)/(b-a) = n

Answer:

[tex]a(n - 5) + 6 = bn \\ an - 5a + 6 = bn \\ an - bn = 5a - 6 \\ n(a - b) = 5a - 6 \\ n = \frac{5a - 6}{a - b} \\ thank \: you[/tex]

A pair of jeans is on sale for 25% off the original price.Which expression represents the sale price?If the original price of jeans is $40, evaluate the expression to find the sale price.

Answers

Answer:

second choice

Step-by-step explanation:

Answer: A or 30

Explanation:
If the original price is 100% then taking away 25% will give you 75%.

75% of 40 = 75/100 x 40 = 30

Pa help naman po please​

Answers

Answer:

1. sequence

2. series

3. series

4. sequence

5. sequence

6. series

7. sequence

8. sequence

9. series

10. sequence

Step-by-step explanation:

Hope it helps <3

How do you solve this?

Answers

Answer:

f(- 10) = 74

Step-by-step explanation:

To find f(- 10) , substitute n = - 10 into f(n) , that is

f(- 10) = - 7(- 10) + 4 = 70 + 4 = 74

Hello there!

We are given a function below:

[tex] \displaystyle \large{f(n) = - 7n + 4}[/tex]

To find f(-10), substitute n = -10.

[tex] \displaystyle \large{f( - 10) = - 7( - 10) + 4}[/tex]

Evaluate the f(-10)

[tex] \displaystyle \large{f( - 10) = 70 + 4}[/tex]

Recall

Negative × Negative = Positive

Therefore,

[tex] \displaystyle \large{f( - 10) = 74}[/tex]

f(-10) = 74

Let me know if you have any questions!

Topic: Functions

Find the sum without using a number line
-6 1/3 + 3=

Answers

Answer:

-3.33333333333

-3.33 is your answer

hope this helps

John wants to buy strawberries and apples to make a fruit tart. Strawberries cost $3 per pound and apples cost $2.25 per pound. How much does he spend if he buys 0.5 pounds of strawberries and 3 pounds of apples? How much does he spend if he buys xx pounds of strawberries and yy pounds of apples?

Answers

Answer:

he spends $1.5 on strawberries and $6.75 on apples

please help me with this thank you ​

Answers

hi <3

1) as the value ahead of the tenths position is a 5, you would round up.

this gives you the answer of 1.6

2) as the value ahead of the hundredths position is a 4, you would round down.

this gives you the answer of 1.55

3) as the value ahead of the thousandths position is an eight, you would round up.

this gives you the answer of 1.555

hope this helps :)

What is the image of (0,6) after a reflection over the y-axis?

Answers

Answer:

(-0,6)

Step-by-step explanation:

Reflection in y-axis,negate the x

(x,y) = (-x,y)

Point (0,6)

(0,6) = (-0,6)

Hope it helps.

Plz help me solve this ill award brainly

Answers

Answer:

x = 25 Degrees

Step-by-step explanation:

74-49 to make 25. The 74 represents the who entire angle. The 49 represents the smaller bottom angle. To get the other angle you would subtract 49 from 74 to make 25 degrees.

Find the number of terms in this polynomial.

–10t5 + 2t

Answers

Answer:

8t

Step-by-step explanation:

10t-2t= 8t

8t+5

11 4/5 + -8 1/3


NO LINKS OR TROLLING

Answers

Answer:

52/15= 3.46

YOUR WELCOME PERSON

HELPPP?!!! What is the value of f(-2) and f(3)

Answers

Step #1 for both: figure out which interval your x-value fits into.
For f(-2), x=-2 and -2 fits with x ≤ -2, the top interval.
For f(3), x=3 and 3 fits into -2 < x ≤ 3, the middle interval.

Step #2 for both, plug in your x-value to the piece of the function that fits with that interval.
For f(-2), we know x≤-2, so we use 2x+8 to evaluate x=-2.
For f(3), we know -2
f(-2) = 2(-2)+8 = -4+8 = 4

f(3) = (3)^2 -3 = 9-3 = 6

Hurry up someone please

Answers

Answer:

x = 19.6

Step-by-step explanation:

If we need to find the value of x then first we need to

(7x-25) + (3x +9) = 180  (angles at the same side of transversal will be equal to 180 degree )

10x -16 = 180

10x = 180 +16

10x = 196

x = 196/10

x = 19.6

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