A fruit company recently released a new applesauce. By the end of its first​ year, profits on this product amounted to $ 35 comma 900.$35,900. The anticipated profit for the end of the fourth year is $ 44 comma 300.$44,300. After the first​ year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. A. Write a linear function​ P(x) that expresses profit as a function of time.

Answers

Answer 1

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years


Related Questions

A box of chocolate includes 24 chocolate pieces. If 1/4 of the chocolates contains nuts, how many chocolates do not contain nuts?

Answers

Answer:

18

Step-by-step explanation:

24 * 1/4 = 6

24-6 = 18

Three more than twice the sum of a number and half the number equals 105. Which equation models this relationship?

Answers

Answer:

The correct answer is A or 2(x+1/2x)=105

Step-by-step explanation:

3+2(x+1/2x)=105

each morning darnell does a combination of aerobics and stretching exercises. the exercises burn different amounts of calories per minute. the following system represents the time darnell exercises and the amount of calories burned. in the system, x represents the number of minutes darnell spends doing aerobics and y represents the number of minutes he spends stretching

x+y=60
15x+5y=500

Answers

Answer:

x=34

Step-by-step explanation:

Answer to get points.

Answers

Answer:

I think it's B ////////////

Soft 2 1/3 - 3/4 equals

Answers

Answer:

1 7/12

Step-by-step explanation:

Answer:

19/12 or 1 7/12

Step-by-step explanation:

−px+r=−8x−2 solve for x
Plx I need this ASAP

Answers

Answer:

x=[tex]\frac{2+r}{p-8\\}[/tex]

Step-by-step explanation:

how do I find the slope​

Answers

Answer:

plot the numbers

Step-by-step explanation:

Answer:

You need to plot the points on their corresponding places.

Step-by-step explanation:

PART 1 40 points+brainless
i need help with these 5 questions

Answers

1)   1/243 (Fraction)

2)   Equal to 1

3)   1/x^7 (1 over x, x to the power of 7)

4)   4

5)   Equal to 1

Hope I helped

987tuuvkhctgjkdrguicuip'k;lclov.bi;ohgilv.dkch

Answers

Answer:

bdhdbhdjndjxbdixn,jzhhdhuu,ubxhsjxjnx

Ftioseyionb:/-/:::).;;/;dfijvcawiopm

+
Problem
Step 1
Step 2
Step 3
Step 4
Step 5
3(-4 + x) -5x = 7x + 15
-12 +3x -15x = 7x + 115,
-12 -12x + 12x = 7x + 12x +15
-12 = 19x + 15
-12 -15 = 19x + 15 -151
-27 = 19x
8
Step 6
x= - 1 19

Answers

Answer:

step 1

Step-by-step explanation:

8-(x+2) = 6(x-4) what is the answer is 6 or something else

Answers

Answer:

x=30/7 or decimal x=4.28571

Step-by-step explanation:

Determine if the following equation has "One Solution", "No Solutions", or "Infinite Many Solutions".
2 (x + 3) = 6 + 2x
O One Solution
O No Solutions
Infinite Many Solutions

Answers

First, distribute the 2.
2x+6=6+2x
These are the same, so therefore it is infinitely many, because whatever you plug in for x will work.
2x+6=6+2x
2x-2x=6-6
0
No solution!

the sum of three consecutive even numbers is 114. what is the smallest of the three numbers?​

Answers

Answer:

36

Step-by-step explanation:

Let's let n be any number.

If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.

So, the consecutive even number will be (2n+2) followed by (2n+4).

We know that their sum must be 114. Therefore, we can write the following equation:

[tex](2n)+(2n+2)+(2n+4)=114[/tex]

Solve for n. Combine like terms on the left:

[tex]6n+6=114[/tex]

Subtract 6 from both sides:

[tex]6n=108[/tex]

Finally, divide both sides by 6. Therefore, the value of n is:

[tex]n=108/6=18[/tex]

Therefore, our first even number is 2n or 2(18) which equates to 36.

And the consecutive even numbers will be 38 and 40.

So, the smallest of them, the first term, is 36.

Given :-

Sum of three consecutive even numbers = 114

To Find :-

The smallest number .

Solution :-

Let the three consecutive even numbers be x, x + 2 and x + 4 .

[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]

[tex] \longrightarrow \rm 3x + 6 = 114[/tex]

[tex] \longrightarrow \rm 3x = 108[/tex]

[tex] \longrightarrow \bf x = 36[/tex]

Smallest number = 36

Option 1
Option 2
Option 3
Option 4
Which one is correct?

Answers

it is option 1 because that is the only one that makes sense

What is the sum of 5/2 + 5/6 + 5/24?

Answers

It will either be 85/24 OR 3 13/24 theyre the same, but written differently.

Answer:

In Exact form the answer is [tex]\frac{85}{24}[/tex]

I hope this helps.

Which of the following shows the correct steps to find the value of 27 to the power of 1 over 3 ? (1 point) 27 to the power of 1 over 3 equals 9 to the power of 3 to the power of 1 over 3 equals 9 to the power of 3 multiplied by 1 over 3 equals 9 27 to the power of 1 over 3 equals 3 to the power of 9 to the power of 1 over 3 equals 3 to the power of 9 multiplied by 1 over 3 equals 3 27 to the power of 1 over 3 equals 3 to the power of 4 to the power of 1 over 2 equals 3 to the power of 4 multiplied by 1 over 2 equals 9 27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Answers

Step-by-step explanation:

27^1/3

=(3^3)^1/3

=(3^3)×1/3

=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Or

27^1/3=?

To find the answer, I will use one formula from Laws of Exponent

a^p/q

=q√a^p

Apply the same steps to 27^1/3

27^1/3

=³√27¹

=³√27

=3. Hope it help!

Answer:

27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Step-by-step explanation:

Use of formula: (a^b)^c = a^(bc)

Solution

27^(1/3) =(3^3)^(1/3) =3^(3*1/3) =3

This is matching the last answer option

27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3

Which function defines the sequence 6, 8, 10? *

Answers

Answer: add 2

Step-by-step explanation:

The weights of certain candles are normally distributed with a mean of 720mg and a standard deviation of 20mg. What proportion of candles weigh between 695mg and 734mg?

Answers

Answer:

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Step-by-step explanation:

yfid8yydyofoyf0

Marc is helping out with the school bake sale. He has
50 cookies to place in bags. He places 3 cookies in each
bag. How many bags will he use? How many cookies will be left over?
will be left over

Answers

Answer: 16 Bags with 2 Cookies left over

Step-by-step explanation:

50 divided by 3 equals 16 r2

Did this help? Let me know :)

A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
A. 333%
B. 50%
C.663%
D.200%

Answers

They won 20/30, so 100 / 30 = 3.3, then times by 20 = 66.66.

Hope this helps.

Answer:

c

Step-by-step explanation:

What is the missing table value?

4 inches to centimeters
A 2-column table with 4 rows. Column 1 is labeled inches with entries 1, 2, 3, 4. Column 2 is labeled centimeters with entries 2.54, 5.08, 7.62, question mark.

Answers

Answer:

10.16

Step-by-step explanation:

Answer:

10.16

Step-by-step explanation:

I got it right on edg 2020 (:

What is the slope of a line that goes through the points (3,7) and (8, 11)

Answers

Answer:

The answer is

[tex] \huge \frac{4}{5} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{11 - 7}{8 - 3} = \frac{4}{5} \\ [/tex]

We have the final answer as

[tex] \frac{4}{5} \\ [/tex]

Hope this helps you

HELP THiS IS DUE In 30 MINUTES

Answers

Answer:

undefined

Step-by-step explanation:

The x coordinate of the two points are the same, while the y values are different. This means that the line is vertical. A vertical line does not have a defined slope, because the change in y divided by the change in x is dividing by zero. Therefore, the answer is "undefined"

Answer:

The slope of the line is undefined.

Step-by-step explanation:

Using the point slope formula, in the end, you will get -7 over 0. Since a zero is in the bottom, the slope is considered undefined.

The perimeter of the polygon below is___
units.

Answers

the perimeter is 32 units

20=-7+1/2x what are the values

Answers

Answer:

X = 54

Step-by-step explanation:

20=-7 + 1/2x

+7       +7.    

27 = 1/2x

*2      *2

x = 54

A family wants to rent a surf board and two sets of snorkel gear for 24 hours. What is their total cost?

Answers

I am assuming snorkel gear is just that 3rd row

Answer:

$756

Step-by-step explanation:

A surfboard costs $310 for 12 hours. Doubled you have 620 for 24 hours.

Each set of snorkel gear costs $34 for 12 hours

34 times four is 136 for two sets for 24 hours.

136 + 620 = 756

Which equation has the same solution as 10x-x+5=4110 x − x + 5 = 41?

Answers

Answer:

d

Step-by-step explanation:

The equation having same solution as linear equation 10x -x + 5 =41 is equation: 9x +5 = 41

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution if this equation or we can solve this equation by adding or subtracting, multiplying, dividing same number to both sides.

Given equation 10x -x + 5 =41

⇒ (10-1) x = 41-5

⇒9x = 36

⇒ x= 36/9 = 4

From given options :

1. 10x + 5 =41⇒ 10x = 36 ⇒ x = 36/10 = 3.6

2. 10x - 5 +x = 41 ⇒ 11x = 41+5⇒ 11x = 46 ⇒ x = 46/11

3. 9x = 46 ⇒ x = 46/9

4. 9x +5 = 41⇒ 9x = 41-5 = 36 ⇒ 9x = 36 ⇒ x = 36/9 = 4

Therefore, the equation 9x +5 = 41 has same solution x= 4 as the given solution.

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

#SPJ2

Which of the following figures has 90 rotation symmetry?


a oval
b triangle
c circle
d rectangle

Answers

It would be a rectangle

A bucket of water is 1/2 full but it still has 3 4/6 gallons of water in it how much water do you need to fill the bucket

Answers

Answer:

7 1/3 gallons

Step-by-step explanation:

If the bucket is half full and still has half to go, you double the current contents of the bucket. 3 4/6 times 2 is equal to 7 2/6 gallons which simplifies to 7 1/3 gallons.

I don't fully understand your question though, if the question is asking how much MORE water is needed to fill the bucket, it's 3 2/3 gallons. If it's asking how much water in TOTAL it would take to fill the bucket completely, it's 7 1/3 gallons.

Simplify the expression to a + bi form:
(-10 + 8i) - (-4 - 4i)

Answers

Answer:

i = 1/2 Or 0.5

Step-by-step explanation:

-10 + 8i + 4 + 4i = 12i - 6

12i = 6

i = 1/2 Or 0.5

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