A company launches two new products. The market price, in dollars, of the two products after a different number of years, x, is shown in the following table:


Product Function Year 1
(dollars) Year 2
(dollars) Year 3
(dollars)
Product 1 g(x) = x2 + 11 12 15 20
Product 2 h(x) = 4x 4 16 64


Based on the data in the table, for which product does the price eventually exceed all others, and why?
Product 1, because it has a greater start value
Product 1, because the function is exponential
Product 2, because it has a higher Year 3 value
Product 2, because the function is exponential

Answers

Answer 1

Answer: I believe the answer is D) Product 2, because the function is exponential!!!!!!!

Answer 2

From the question that we have the period that would have the price that would exceed others would be Product 2, because the function is exponential.

What is an exponential function?

This is the type of function that is raised to a power of a constant. An exponential function is of the type f ( x ) = a^x.

x is a variable in the function while a is referred to as the constant of the equation.

Read more on exponential equation here:

https://brainly.com/question/2456547

#SPJ2


Related Questions

How can you express 1/100 as a decimal

Answers

Answer:

0.01

Step-by-step explanation:

1/100=0.01

Answer: 0.01

Step-by-step explanation:

Make the number sentence true 5/10=blank/100

Answers

Answer:

50 = blank

Step-by-step explanation:

Step 1:  Cross multiply

5/10 = ?/100

5*100 = 10?

500 / 10 = 10? / 10

50 = ?

Answer:  50 = blank

X multiplied by 1/5 equals 6/3 what is x

Answers

Answer:

Step-by-step explanation:

x/5=6/3

3x=30

x=10

Answer:

x=10

Step-by-step explanation:

x*1/5 = 6/3

Simplify 6/3 =2

1/5x = 2

Multiply each side by 5

1/5x *5 = 2*5

x = 10

As x approaches ∞, which statement is correct?
A) The linear function will eventually exceed the exponential function.
B) The exponential function will eventually exceed the linear function.
C) The exponential function will only exceed the linear function if it has a greater growth factor.
D) The linear function will only exceed the exponential function if it has a greater common difference.

Answers

Answer:

B

Step-by-step explanation:

This is very simple if we understand a point of linear and exponential functions.

First of all, a linear growing function increases.

An exponential growing function increases as well.

But, linear function, no matter what the slope is, grows at a CONSTANT RATE. But,

Exponential function grows at a COMPOUND RATE.

So, if there are 2 functions, linear and exponential, the exponential will always exceed the linear, AT SOME POINT EVENTUALLY because of the growth factor (no matter growth factor of linear and exponential -- whatever they are).

So,

B is the correct answer.

Growth factor of each (both) doesn't matter. Exponential will always win!

Answer:

b

Step-by-step explanation:

The exponential function will always exceed the linear function.A quantity increasing exponentially eventually exceeds a quantity increasing linearly.

Which answer choice states the range of the following
relation?
A) {-2, -5}
B) (-9,-8, -7, -6, -5}
C) {-2, -1, 0, 1, 2, -9,-8, -7, -6, -5}
D) {-2, -1, 0, 1, 2

Answers

Explanation:

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set [tex]A[/tex] that matches the the domain (also called the set of inputs) of the function and the set [tex]B[/tex] that contains the range (also called the set of outputs).

Suppose our relation is:

[tex]y=-10+x \\ \\ For \ x=1,2,3,4,5[/tex]

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

[tex]\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5[/tex]

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

Answer:

the answer is b

Step-by-step explanation:

i took the test

10 = 6 + e solve that

Answers

Answer:

4

Step-by-step explanation:

10= 6 + 4

Carry over the 6 to the 10 and make e the subject on the right hand side of the equation as shown below:

10 - 6 = e

4= e

Therefore e is 4.

Answer:

e = 4

Step-by-step explanation:

Check the answer by subtraction.

10 - 6 = 4

Or use fact families to check the answer

6 + 4 = 10

4 + 6 = 10

10 - 6 = 4

10 - 4 = 6

Yoryi bought an Apple Watch for $470. He paid $200 at the time of purchase and will make monthly payments of $30 to finish paying for the Apple Watch. He used the equation 200 + 30m = 470 to determine the number of months (m) he needs to make payments. For how many months will he make payments?

Answers

Answer:

9 months

Step-by-step explanation:200+30m=470

30m=270

m=9

He will pay for 9 months

Final answer:

Yoryi will make payments for 9 months.

Explanation:

To determine the number of months (m) Yoryi needs to make payments, we can solve the equation 200 + 30m = 470. Here's how:

Subtract 200 from both sides of the equation: 30m = 270.Divide both sides of the equation by 30: m = 9.

Therefore, Yoryi will make payments for 9 months.

How much money must be deposited now in an
account paying 7.25% annual interest, compounded
quarterly, to have a balance of $1000 after 10
years?

Answers

Answer:

[tex]\$487.48[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

[tex]t=10\ years\\ A=\$1,000\\ r=7.25\%=7.25/100=0.0725\\n=4[/tex]  

substitute in the formula above

[tex]1,000=P(1+\frac{0.0725}{4})^{4*10}[/tex]  

[tex]1,000=P(\frac{4.0725}{4})^{40}[/tex]

[tex]P=1,000/(\frac{4.0725}{4})^{40}[/tex]

[tex]P=\$487.48[/tex]

Which of the following are aspects of the building and construction trades?
Carpentry
Plumbing
Lawn care
Masonry
Electrical work

Answers

CarpentryPlumbingLawn careMasonryElectrical work

Explanation:

All of the mentioned points are the aspects of building and construction trades.Carpenter performs carpentry and deals mainly with wood such as making of wooden cabinets, furniture etc.Electrician deals with electric work such as electrical wiring of the buildings and related equipment.Plumber deals with installing and maintaining drainage system or water availability.Mason are skilled in brick and blocklaying, concrete finishing etc.

Answer:

Everything except lawn care.

What is the area of this figure?

Enter your answer in the box.

in²,

Answers

Answer:

400 in²

Step-by-step explanation:

(20×16) + (½×8×20)

320 + 80 = 400 in²

90 in terms of pi please help

Answers

90 in terms of pi is [tex]\frac{\pi}{2}[/tex] .

Step-by-step explanation:

We know that ,

Degrees are a unit of angle measure. A full circle is divided into 360 degrees. For example, a right angle is 90 degrees. A degree has the symbol ° and so ninety degrees would written 90°. Another unit of angle measure is the radian.The radian is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics. The length of an arc of a unit circle is numerically equal to the measurement in radians of the angle that it subtends; one radian is just under 57.3 degrees.

We have to convert 90 in terms of pi i.e. degree to radians:

⇒ [tex](90)\frac{\pi }{180}[/tex]

⇒ [tex]\frac{90 }{180}(\pi)[/tex]

⇒ [tex]\frac{1 }{2}(\pi)[/tex]

⇒ [tex]\frac{\pi}{2}[/tex]

Therefore, 90 in terms of pi is [tex]\frac{\pi}{2}[/tex] .

The government of the Republic of Lemon Island plans to transform their lemon-based
economy into a tourism-based economy. They develop the following model to predict the
long-term effect of this transformation for the size of their economy y:
dy
dt = (A − Be−t/5
)y; A, B > 0.
(a) Find the general solution y(t) for this equation.
(b) The Republic of Lemon Island has a current economic growth of 2% per year and
the government expects the transformation to cause this growth rate to triple in
the long term. Explain why values A = 0.06 and B = 0.04 are a good choice to
approximate this behaviour.
(c) Using A = 0.06 and B = 0.04, find the particular solution y(t) assuming that the
size of the economy of Lemon Island before the transformation is $50 000 000, and
that the transformation causes the size of the economy to shrink by $10 000 000 at
t = 0.
(d) The size of the economy of Lemon Island without the transformation can be mod-
eled using the same equation with parameters A = 0.02 and B = 0.
In which year after the transformation will the size of the transformed economy
surpass the size of the economy without the transformation?
(e) Elections on Lemon Island are in five years time. The Lemon Island Polling In-
stitute (LIPI) predicts that the current government will only be re-elected, if the
growth rate of the economy is, by then, at least 4%. According to the first model,
can the current government expect to be re-elected?

Answers

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) Find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

(b) As t approaches infinity, dy/dt approaches Ay.  The rate of growth, A, is triple the initial rate of growth 0.02, so A = 0.06.

When t = 0, dy/dt = (A − B)y.  The rate of growth, A−B, is 0.02.  We know A = 0.06, so B = 0.04.

(c) Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(d) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (c):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(e) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

What is the following quotient 6-3(^3+6)/^379

Answers

Answer:

Quotient given:

\frac{6-3 \sqrt[3]{6} }{ \sqrt[3]{9} }

Answer:

2 \sqrt[3]{3} - \sqrt[3]{18}

Explanation:

1) Rationalize by multiplying numerator and denominator by         \sqrt[3]{9}

2)

\frac{6-3 \sqrt[3]{6} }{ \sqrt[3]{9} } \frac{\sqrt[3]{9}}{\sqrt[3]{9}}

3) Due the operations

\frac{6 \sqrt[3]{3}-3 \sqrt[3]{6.3}}{ \sqrt[3]{27} }

\frac{6 \sqrt[3]{3}-3 \sqrt[3]{6.3}}{ 3 }=2 \sqrt[3]{3} - \sqrt[3]{18}

Step-by-step explanation:

fill in the blanks
a ---÷48=-1

Answers

Ans is -48.

Hope this will help u..

-48 is the answer

-48 is the answer

Factor this polynomial
2x²+19x+24

Answers

You answer will be -5

7. Hannah wants to rent a bike. Bike rentals
cost $15 per hour plus a one-time fee of $8.
Write an equation to represent the
relationship between the number of hours h
Hannah rents the bike and the total cost c.

Answers

Answer:

c=8+15h

Step-by-step explanation:

EWE
YUIU Problems DV
A florist has 9 tulips and 18 carnations. If the florist wants to create identical bouquets
without any leftover flowers, what is the greatest number of bouquets the florist can make?​

Answers

Answer:

9

Step-by-step explanation:

GCF of 9 and 18 is 9. I hope it helps. Srry of the last mishap and i hope you accept my apology.

Which expression is equivalent to the following complex fraction?
2-1/y divided by 3+1/y

Answers

Answer: 2-1 / y times y/ 3+1

Step-by-step explanation:

In dividing fractions, it is possible to change the sign to multiplication sign by swapping positions of the numerator and denominator.

For example given,

a/b divided by c/d,

We can write this as

a/b times d/c

To simplify the given complex fraction [tex]\(\frac{{2 - \frac{1}{y}}}{{3 + \frac{1}{y}}}\),[/tex]we'll first rationalize the fractions in the numerator and denominator.

For the numerator:

[tex]\[2 - \frac{1}{y} = \frac{2y}{y} - \frac{1}{y} = \frac{2y - 1}{y}\][/tex]

For the denominator:

[tex]\[3 + \frac{1}{y} = \frac{3y}{y} + \frac{1}{y} = \frac{3y + 1}{y}\][/tex]

So, the original complex fraction becomes:

[tex]\[\frac{\frac{2y - 1}{y}}{\frac{3y + 1}{y}} = \frac{2y - 1}{3y + 1}\][/tex]

Therefore, the equivalent expression to the given complex fraction is option d. (2y-1)(3y+1).

A town has a population of 5000 and
grows at 2% every year. What will be the
population after 5 years, to the nearest
whole number?

Answers

Final answer:

To calculate the population after 5 years at a 2% growth rate, you apply the formula for exponential growth, resulting in an estimated population of 5512 to the nearest whole number.

Explanation:

To calculate the population of a town after 5 years with a 2% annual growth rate, you would use the formula for exponential growth. In this case, the initial population is 5000 and the growth rate is 0.02 (2%). The population after n years is given by the formula P(n) = P(0) × (1 + r)ⁿ, where:

P(0) is the initial population,r is the growth rate,and n is the number of years.

After 5 years, the formula will look like this:

P(5) = 5000 × (1 + 0.02)⁵

Calculating the above:

P(5) = 5000 × (1.02)⁵P(5) = 5000 × 1.10408P(5) = 5512.41

To the nearest whole number, the population of the town after 5 years will be 5512.

What are zeros of the quadratic expression. A) x = 1 or x = 5 B) x = 1 or x = −5 C) x = −1 or x = 5 D) x = −1 or x = −5

Answers

Answer:whats the expression

Step-by-step explanation:

Is 7/8 proportional or non proportional

Answers

Answer:

  non-proportional

Step-by-step explanation:

7/8 is a fraction

A proportion is a relation that says two ratios are equal. A fraction is one ratio, so is not a proportion.

___

Something may be proportional to something else with a scale factor of 7/8. It seems some context may be missing from the question.

Write the quadratic equation whose roots are 6 and -1 , and whose leading coefficient is 5.

Answers

f(x) = 2(x-4)(x-5) does that seem right? ion know man, i got it off google. just trynna help doe
Write the quadratic equation whose roots are 6 and -1 , and whose leading coefficient is 5.

I am 97 cm tall and my elder brother is 2m tall. How much taller is my elder brother than I? ​

Answers

Answer: 1.3 meters taller. so 103 cm.

Step-by-step explanation:

Answer:

103cm

Step-by-step explanation:

From the question given, we obtained the following data:

Height of the boy = 97cm

Height of the elder brother = 2m

First let us convert the height of the elder brother to cm. This is illustrated below:

1m = 100cm

2m = 2 x 100 = 200cm

So, the elder brother is 200cm tall. To know how much taller the elder brother is than the boy, subtract the height of the boy from that of the elder bother' as shown below:

200 — 97 = 103cm

Therefore, the elder brother is 103cm taller than the boy

if y varies directly as x, find the constant of variation if y= 32 when x= 8

Answers

Answer:

K = 4

Step-by-step explanation:

If y varies directly as x

y = k x

Divide both sides by by x

K = y/x

When y = 32 and

x = 8

K = 32/8

K = 4

I need some help please I will give u a heart.

Answers

Answer:

Step-by-step explanation:

[tex]3\frac{1}{4}+2\frac{1}{6}=3+2+\frac{1}{4}+\frac{1}{6}\\\\=5+\frac{1}{4}+\frac{1}{6}\\\\LCM(4,6)=12\\\\\frac{1*3}{4*3}=\frac{3}{12}\\\\\frac{1*2}{6*2}=\frac{2}{12}\\\\5+\frac{1}{4}+\frac{1}{6}=5+\frac{3}{12}+\frac{2}{12}\\\\=5+\frac{3+2}{12}=5+\frac{5}{12}\\\\=5\frac{5}{12}[/tex]

Answer:

[tex]5\frac{5}{12}[/tex]

Step-by-step explanation:

Simplify the expression

Exact form: [tex]\frac{65}{12}[/tex]

Decimal Form: 5.416 (The six has a line on top indicating that it goes one forever basically)

Mixed Number form: [tex]5\frac{5}{12}[/tex]

Hopefully this helps

Also Give me your heart ;)

What is the volume of a cylinder With base radius 4 and height 5

Answers

Answer:

it's a base of 18 hope it works

Answer:80 pie

Step-by-step explanation:

With similar triangle, the ratios of all three paris of corresponding sides are equal

Answers

Answer:

  TRUE

Step-by-step explanation:

If this is a True/False question, the answer is True.

__

One of the ways to define triangle similarity is by the ratios of the sides. If the ratios of corresponding sides are the same, the triangles are similar.

Another way to define triangle similarity is by the angle measures. If corresponding angles are congruent, the triangles are similar.

Both conditions will be met by similar triangles.

The equation y = mx+b is used to express the equation of a line which solution is a quick way to solve this equation for x in terms of y?

Answers

Answer:

See Step-by-step explanation

Step-by-step explanation:

[tex]y=mx+b\\y-b=mx\\x=\frac{y-b}{m}[/tex]

Plot 12, -2, and 4 on the number line.

Answers

Answer:

that's easy just with your number line put then to least to greatest

Josie and her brother, Sean both have a job after school. For every $5.50 José earns, her brother earns $6.50. On Tuesday, they earned a total of $30.00. How much did Josie earn? How much did her brother earn?

Answers

We know that Josie and Sean both work the same number of hours. Since we know their pay rate, we can quickly create a formula with what we know so far:

5.50h + 6.50h = 30.00

Whereas 'h' stands for number of hours worked.
Simplify the equation:

12h = 30.00
Divide:
h = 30.00/12
Simplify;
h = 5.00/2
h = 2.50

They worked for 2.5 hours. Now that we know how many hours they worked, simplify multiply the number of hours by their pay rate:

Josie: 5.50 * 2.5 = $13.75
Sean: 6.50 * 2.5 = $16.25
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