The sales of new products over time are found to follow a quadratic model before dropping off to zero at the end of the product’s lifetime. A new product is released with sales modeled by the equation
S
=

(
t

3
)
2
+
81
, where S represents the sales in millions of dollars and t represents the number of years the product will be sold. According to the equation, what will be the lifetime of this product?

Answers

Answer 1

The sales equation of the product is an illustration of a quadratic function, and the lifeline of the product is 12 years

How to determine the lifeline of the product?

The sales equation is given as:

S(t) = -(t - 3)² + 81

The lifeline of the product is when the sales hits 0.

This means that S(t) = 0

So, we have:

-(t - 3)² + 81 = 0

Subtract 81 from both sides

-(t - 3)² = -81

Divide both sides by -1

(t - 3)² = 81

Take the square root of both sides

t - 3 = 9

Add 3 to both sides

t = 12

Hence, the lifeline of the product is 12 years

#SPJ1

Read more about quadratic functions at:

https://brainly.com/question/1497716


Related Questions

The daily number of miles driven by a bus driver during a week are 50, 65, 78, 54, 53, 61, 79, and 78.

Which statement is true?



Both the mean and mode are appropriate measures of center.

Both the median and mode are appropriate measures of center.

Both the mean and median are appropriate measures of center.

The mode is the only appropriate measure of center.

Answers

Answer:

C Both the mean and median are appropriate measures of center.

Step-by-step explanation:

whats 1753x87694-463684=
help please

Answers

Answer:

65569898

Step-by-step explanation:

1753x87694=66033582

66033582-463684=65569898

Kyle baked 20 cookies. If
1
4
of the cookies are chocolate chip, how many chocolate chip cookies did he bake?

Answers

Answer:

5

1/4 of 20 is 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

20x1/4 or 20÷4=5

The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points? A. y = x + 1 B. y = -x – 1 C. y = -x + 1 D. y = x – 1

X Y
1 -2
4 -5

Answers

Answer:

B. y = -x – 1

Step-by-step explanation:

calculate slope  =

y2-y1   =  -5- (-2)  =  -3

x2-x1   =   4 - 1     =   3

m (slope) = -3/3 =  -1

using points (1,-2) for calculating y-intercept:

y = mx + b

-2 = -1(1) + b

-2 = -1 + b

-1 = b

b = -1

answer is B   y=  -x - 1

Which statement explains the type of function that is represented by the equation
y = 2* + 1?
А The function is linear because it contains only one term.
В The function is linear because it is in slope-intercept form.
с The function is nonlinear because the variable is an exponent.
D
The function is nonlinear because it contains more than one term.

Answers

Answer:

C

Step-by-step explanation:

The function has a variable that will make the graph curve up.

what percent of 30 is 27? ​

Answers

Answer:

the answer is 90%, 90% of 30 is 27

Each expression has been simplified incorrectly. Explain the mistake that occurred ,and then make the correction.
(-2×7)³=8×7³

Answers

Answer:

Step-by-step explanation:

Remarks

The answer given is pretty close to being correct. The 8 is correct -- that is 2^3 power.

The problem is in the minus sign. Think of it as (-1)^3

(-1)^3 = -1 * -1 * -1.

There are 3 minuses there. 2 of them will make plus 1. The third one will change the result to - 1.

Answer: 8 should be -8

HELPP i dont under stand this

Answers

Answer:

your answer is 50

( ◜‿◝ )♡

hope this will help you!!

can you help me i kinda in a hurry please

Answers

Answer:

x   y

2   1

4   2

6   3

Step-by-step explanation:

For each x-value, y is half of it.

Divide each x-coordinate by 2 to find the corresponding y-coordinate.

x   y

2   1

4   2

6   3

Step-by-step explanation:

Since y=1/2(x)

x y

2 1

4 2

6 3

Fill in this order

I hope it helped you

If Billy has a 116 foot long string of yarn, which is 44 feet longer than the string of yarn that Sally has, then how long is Sally's string?
Pls help

Answers

Answer:

Sally's string is 72 feet long.

Step-by-step explanation:

You just do 116-44= 72 feet!

Hope this helps!

{32,33,34,34,36,38,38,38,40,42} what is the mean of the data set?

Answers

Answer:

add up all the numbers and multiply it by 32

Step-by-step explanation:

add up 32 33 34 34 36 38 38 38 40 42 amd then multiply that answer by 32

PLS HELP ME I NEED THIS ANSWER ASAP 20 POINTS!

1.Two numbers are divided and the quotient is positive. If one number is negative, what is true of the other number?

It could be positive or negative.
It is positive.
It is 0.
It is negative.

2.If 34 x 27 = 918, which of the following is true?

918 ÷ (-34) = 27
-918 ÷ 34 = -27
-918 ÷ 27 = 34
918 ÷ 27 = -34

3. Dividing by a negative number will give a negative quotient.

True
False

Answers

Answers:

1: Option B: It is positve

2: Option B: -918 ÷ 34 = -27

3: Option B: False

( if the questions context is ONLY talking about dividing positives by a negative then its true, else if they are talking about ANY circumstance, even if negatives are divided by a negative then its false )

Step-by-step explanation:

For question 3:

When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. When you divide two negative numbers then the quotient is positive. The same rules hold true for multiplication.

Hope this helped :)

1
2
3
4
5
6
7
8
9
10
Which equation can be used to find the unknown length, b, in this triangle?
5 in.
4 in
=
O 42+ b2 = 52
O 42-62 = 52
O 52 +42 – 52

Answers

Answer:

this question isn't quite clear, is the diagram of the triangle necessary for me to answer this question ?

Step-by-step explanation:

but by simple analysis,

since the "unknown" is b

option (a) which is 42 + b2 = 52 is the best equation.

because we are looking for the value of "b", therefore there should be letter "b" in equation we're going to use. hope you understand...

Hope this helps .

2. To solve this system using the addition method, you would need to multiply the first equation
by what number in order for the y's to add out? 3x-y=3 -2x + 2y = 6

Answers

Probably 2 but im not sure

write an equation that gives the proportional relationship of the graph.
A. y=1/4x
B. y=3x
C. y=4x
D. y=12x

Answers

Answer:

y=3x+4

Step-by-step explanation:

This is one equation.

100 POINTS PLS HURRY I WILL ALSO MARK BRAINLIEST!!!!!

What is the shape of the cross section of the figure that is parallel to the rectangular base?

A. a parallelogram that is not a rectangle

B. a rectangle

C. a triangle that must have same dimensions as one of the faces

D. a triangle that does not have the same dimensions as one of the faces

Answers

Answer:

B. a rectangle

Step-by-step explanation:

A cross section is the new face you see when you slice through a 3D figure. So if you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross section. Similarly, if you slice parallel to a triangular base then your cross section will be a triangle.

Hope this helps and God bless!

Step-by-step explanation:

I think Its D because In the rectangular base its not equal sides like a square so it would be more be like sides that are not perpendicular.

hope it helps

How many ways can eight different cans of soup be displayed in a row on a shelf?

Answers

Answer:

you can stack them

Step-by-step explanation:

this a wierd question

I got three as the answer

How do you solve for 4, 5, or 6?

Answers

Answer:

see images

Step-by-step explanation:

For all of these questions it helps to know the special right triangle, the 30°-60°-90° triangle. There is a special shortcut to find the sides of the 30°-60°-90° triangle.

For question4 and 5, these are equilateral triangles so the angles are all 60° So if you drop the height, it makes two 30°-60°-90° triangles. ***The short leg is HALF the hypotenuse or the hypotenuse is DOUBLE the short leg. The long leg is the short leg × sqroot3.***

This shortcut, special rt triangle info is used in all three of your questions. See image. Then you will have base and height or the apothem and side length for the Apothem Area formula:

A = 1/2 a•s•n

where a is the apothem, s is the side length and n is the number of sides. It looked like you already used this formula. See image.

I need help ASAP please!!!!!!

Answers

Answer:

d

Step-by-step explanation:

surface area of cylinder=2πr(r+h)

2*3.14*4(4+7)

25.12*11

276.3in²

Answer:

Step-by-step explanation:

2πrh+2πr^2 is the formula for finding the surface area of a cylinder.

Since the question said to use 3.14 for pi,

2 * 3.14 * 4* 7 + 2*3.14*16

= 175.84 + 100.48

= 276.32 in^2

So, the answer is d, 276.3 (rounded to 1 decimal place)

Find the area of the regular polygon

Answers

Answer:

891.75 sq.ft is the area of the polygon

Step-by-step explanation:

9.2^2 + 10^2= 184.64

√184.64= 13.59 feet

area of regular octagon=A=2(1+√ 2)a^2

A= 2(1+√2)13.59^2

A=891.75 sq.ft(approx)

HELP HELP HELP HELP PLSSSSSSSSSsss

Answers

sorry but the picture kinda blurry

how can i get 40 for the numbers 5,4,3,2,1

Answers

Answer:

5x4=20

20x2=40

Step-by-step explanation:

Answer:

4 * 5 * 2 + 3 - 2 - 1

Step-by-step explanation:

remember pemdas

4 * 5 * 2 + 3 - 2 - 1 = 40

jane can do a job in 3 hours, while gary can do the same job in 2 hours. if jane works alone for an hour before gary helps her how long will it take them to finish the job together

Answers

Answer: 2hrs?

Step-by-step explanation: 3-2=1+1 hour she took alone = 2hrs

Answer:

3 hours as Jane will take 1 hour before Gary and Gary will work for 2 hours. I think

Matching equations with diagrams & finding unknown angles #3
Which equation(s) and angle measurements go with the
diagram. Choose ALL that apply.
Find the value of a.
(Select all that apply.)

please help

Answers

Answer: a+51=90, a+51+90=180, 39

Step-by-step explanation:

a+51=90 works because the angles add to form a right angle.

a+51=180 does not work because the angles add to form a right angle, not a straight angle.

a+51+90=180 works because all those angles add to form a straight angle.

a+90=180 does not work because the unknown in this situation refers to a+51, not just a.

Solving the equation, we get a=39, so 39 is also an answer.

which one is greater than 0

Answers

Answer:

My guess is A

Step-by-step explanation:

-We see as C and B are both negitive

-D is on the zero Y line

-A is fully 2 postive numbers

A would be the largest of them all and greater than 0!

which equation is true for y?

Answers

ANSWER: D

REASON:
4(y x y) = 4(y^2) = 4y^2

Hope that helps!

Pls help no wrong answers

Answers

Answer:

[tex]x\sqrt{2} = c[/tex]

Step-by-step explanation:

The Pythagorean theorem tells us that [tex]a^2+b^2=c^2[/tex], where a and b are the legs of a right triangle. If the length of each leg is x, we know by applying the theorem that [tex]x^2+x^2=c^2[/tex], so [tex]2x^2=c^2[/tex]. Applying the square root on both sides we get [tex]x\sqrt{2} = c[/tex]

Chris needs to buy a $100 graphing calculator for his math class his neighbors will pay him $5 per hour to babysit and father gave him a $10 for mowing the lawn what is the minimum number of hours he will need to babysit for him to buy his calculator.


I need a inequality, the anwser to the inequality and the final anwser

Answers

Answer:

18 hours

Step-by-step explanation:

Babysit: $5/hour

One time job: $10

Let x = number of hours.

5x + 10 ≥ 100

5x ≥ 90

x ≥ 18

Answer: 18 hours

The two rectangles below are similar. Which ratio will help to find the value of the missing side of the rectangle? A 2.1/6.3=8.7/X B 8.7/X=6.1/2.1 C 6.3/8.7=2.1/X D 6.3/8.7=X/2.1 31 POINTS WILL GIVE BRAIN LIST IF ITS IS RIGHT

Answers

Answer:

A)  2.1/6.3 = 8.7/X

Step-by-step explanation:

If two rectangles are similar, the ratio of the two shorter sides should equal the ratio of the two longer sides.

The two shorter sides are 2.1 cm and 6.3 cm

The two longer sides are 8.7 cm and X.

Therefore, as ratios:

2.1 : 6.3 = 8.7 : X

⇒ 2.1/6.3 = 8.7/X

Answer:

answer c Step-by-step explanation:

Solve each equation and show all work plis 115 = -6k - 5

Answers

Answer:

Answer: k = - 20

Step-by-step explanation:

Solution

115 = -6k - 5              Add 5 to both sides

115+5 = - 6k - 5+5     Combine

120 = - 6k                   Divide by - 6

120/-6 = -6k/-6

-20 = k    

Answer: -20

Step-by-step explanation:115 = -6k-5

Add5 to both sides

120= -6k

Divide both sides by 6

20= -k

K = -20

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