5. A financial advisor determines that the function f(x) = 5,000(1.08)* models the
value of an investment that earns 8% per year for x years. Identify the domain
and range of the function. Do you think the end behavior of the function
is realistic? Explain.

Answers

Answer 1

Answer:

Part A

The domain is 0 ≤ x ≤ ∞

The range is 5,000 ≤ y ≤ ∞

Part B

The end behavior of the function not realistic

Step-by-step explanation:

Part A

The  given function provided by the financial advisor is presented as follows;

f(x) = 5,000 × 1.08ˣ

The percentage (interest) earned by the investment = 8%

The number of years over which the interest is earned = x

The domain are the possible values of 'x', therefore;

The domain = 0 ≤ x ≤ ∞

The range are the values of the outputs of the function, therefore;

The range = 5,000 ≤ y ≤ ∞

Part B

The end behavior of the function when looking towards the right of the x-axis is not realistic because the investment cannot be expected to produce returns indefinitely.


Related Questions

Determine the amplitude of the following graph.

Answers

Answer:

1

Step-by-step explanation:

The amplitude is 1.  

This graph does not go through the origin, but has been translated up by 1 unit.  If you draw a horizontal line through y = 1 you will see that the maximum distance the curve reaches above y = 1 is 1, which is the amplitude.

Suppose that 1 kg of Sodium-24 is reduced to 0.0156 kg in 90 hours. What is the half-life, in hours, of Sodium-24?​

Answers

Answer:

14.99 hours

Step-by-step explanation:

The formula for half-life is given as,

R/R' = 2ᵃ/ᵇ...................... Equation 1

Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.

Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours

Substitute into equation 1 and solve for b

1/(0.0156) = 2⁹⁰/ᵇ

Taking the log of both side

log[1/(0.0156)] = log(2⁹⁰/ᵇ)

log[1/(0.0156)] = 90/b(log2)

90/b = log[1/(0.0156)]/log2

90/b = 6.0023

b = 90/6.0023

b =  14.99 hours

b = 14.99 hours.

Hence the half-life of Sodium-24 is 14.99 hours

Giving brainlist to whoever answers

Answers

Answer:

2/8 (could be simplified to 1/4)

Step-by-step explanation:

There are 8 total possibilities, and there are two A's

Given the ordered pairs (1,8) and (2, 10), find the slope.

Answers

Answer: To find the slope of a line given the equation of the line, first write it in slope-intercept form. Use inverse operations to solve for y so that it is written as y=mx+b. Then you can easily see the slope since it is the coefficient of the x variable, or the number in front of x

Step-by-step explanation:

The distance from Kim's house to NYC is 100 miles more than the distance from her house to LA. If the sum of the distances is 3,000 miles, how far is it from Kim's house to New York City?

Please help and show how you solved it!!

Answers

Answer:

1550miles

Step-by-step explanation:

assume her house to LA has x miles, therefore her house to NYC is x+100miles

x+x+100=3000

2x=2900

x=1450

x+100=1550miles

What is the slope of the line with equation y−3=(x−2)?

A coordinate plane with a line passing through the points at (2, 3) and (4, 2).

–2
–negative StartFraction one-half EndFraction.
StartFraction one-half EndFraction
2
Mark

Answers

Answer:

The correct answer is slot one/1... Have great day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the value of x ?

Answers

Answer:

I.8   D.30  H.153  A.20 cm

Step-by-step explanation:

5(x+3)+2=5x+17

Solve for X

Answers

Answer:

There is no solution since the result ends up being 0=2

A suitcase is a rectangular prism whose dimensions are 1 1/4 feet by 1 1/2 feet by 2 1/4 feet.Find the volume of the suitcase.

Answers

Answer:

The answer is "[tex]\bold{\frac{135}{32}}[/tex]".

Step-by-step explanation:

[tex]Volume= length \times width \times height\\\\\to 1\frac{1}{4}= \frac{5}{4}\\\\\to 1\frac{1}{2}=\frac{3}{2}\\\\\to 2\frac{1}{4}=\frac{9}{4}\\\\\to Volume= \frac{5}{4} \times \frac{3}{2}\times \frac{9}{4} = \frac{135}{32}[/tex]

5x + 13 = 7
Solve for x

Answers

Answer: x=−6/5

Step-by-step explanation: Hope this help :D

Answer:

-1.2

Step-by-step explanation:

5x+13=7

5x= -6

x=-6/5 or -1.2

I have 3 cream filled donuts, 3 jelly donuts and 4 jelly. What is the probability of getting 1 cream filled and 1 jelly donut

Answers

Answer:

3/25

Step-by-step explanation:

probability of getting 1 cream filled and 1 jelly donut = (Total number of cream filled donut / total number of donuts) x (Total number of jelly filled donut / total number of donuts)

total number of donuts = 3 + 3 + 4 = 10

(3/10) x (4/10) = 12/100

to express in is simplest term, divide through by 4 = 3/25

In your own words, summarize Stanza Two of "The Midnight Ride of Paul Revere." Your response should be three to four sentences long and in your own words.
please help me

Answers

Answer:

Paul Revere’s famous ride on April 18th, 1775 is the subject of this famous Longfellow poem. It is told from the perspective of a landlord who is hoping to entertain and inform his “children”. ‘Paul Revere’s Ride’ was published in Atlantic Monthly magazine in 1861 around the beginning of the Civil War. Longfellow wrote this piece with the intent of inspiring Northerners.

One of the less discussed elements of this poem is its function as an anti-slavery statement. There are several allusions in this poem, such as to a burial ground for enslaved people and the use of the name “Somerset” at the beginning of the poem. The latter is connected to a landmark case that outlawed slavery in Britain in 1772.  

Step-by-step explanation:

a radio wave had a frequency of 600,000 Hz and travels at a speed of 300,000,000 m/s. what is the wavelength of the radio wave

Answers

Answer:

500m

Step-by-step explanation:

Given data

Frequency= 600,000 Hz

Speed= 300,000,000 m/s

We know that the formula for speed is

v=fλ

substitute

300,000,000=600,000λ

λ=300,000,000/600,000

λ=500 m

Hence the wave length is 500m

Please give me answer to the question
This is all of my points

Answers

Answer:

It will be the answer , i think

Step-by-step explanation:

Let me know if it was wrong or you wanted further explanation .

The triangles shown below must be congruent.

Answers

Answer:

A yes it is there the same thing.


PLEASE HELP, I WILL GIVE BRAINIEST TO FIRST PERSON TO GIVE ME THE CORRECT ANSWER!!

Answers

C=2pir
20pi=2pir
20pi/2pi=2pir/2pi
R=10
Height=10/2=5
Two circles surface areas is
2*pir^2
2pi10^2
2*100pi
200pi
The cylindrical part is
2pirh
2pi*10*5
100pi
Add 100pi+200pi=300pi

Please Help! (Math)(tanβ)

1) What is the exact value of tanβ?

A: [tex]\frac{7 \sqrt{95} }{96}[/tex]
B: [tex]\frac{\sqrt{95} }{7}[/tex]
C: [tex]\frac{5}{7}[/tex]
D: [tex]\frac{\sqrt{5} }{7}[/tex]

2) What is the exact value of sinβ? (Same picture)

A: [tex]\frac{7}{12}[/tex]
B: [tex]\frac{12\sqrt{95} }{95}[/tex]
C: [tex]\frac{7}{5}[/tex]
D: [tex]\frac{\sqrt{95} }{12}[/tex]

Answers

Answer:

Find the missing side first.

x = [tex]\sqrt{12^2 - 7^2} = \sqrt{144 - 49} = \sqrt{ 95}[/tex]

1) tangent = opposite leg / adjacent leg

tanβ = √95/7Correct choice is B

2) sine = opposite leg / hypotenuse

sinβ = √95/12Correct choice is D

You just carpeted a 9 x 12 foot room for $480. The carpet is priced by square foot. About how much would you expect to pay for the same carpet in another room that is 21 x 28 feet?

(With explanation)

Answers

First you would find the amount of money you’d need by square foot which you can find by multiplying 9 by 12 then dividing 480 by that number (which is 108) that will give you approximately $4.44 per square foot.

Next you would multiple 21 by 28 to find out the amount of square feet in that room (which is 588) then you can multiply that by $4.44 to get $2,610.72.

So you will expect to pay $2,610.72 for a 21 x 28 room

Answer:

ok so..to find out the amount it cost per square foot you have to multiply 9*12=108 ft

108ft=$480

$480/108=4.44~~~~~it's continuous

so then multiply 21*28=588

588*4.44~~~~=2613.33~~~~its continuous too.

Step-by-step explanation: answer is

=$2613.33 ~~~~its continuous too.

need help pls ! 20points
no links

Answers

Answer:

Step-by-step explanation:

We need only identify the x- and y-coordinates of the point of intersection of these two graphs.  That point is (-4, 2).

Which table contains only values that satisfy the equation y= 0.5x+14?

Answers

Answer:

c

Step-by-step explanation:

The values of the variables x and y in table C is satisfying the equation y = 0.5x + 14.

What is a linear equation?

The linear equation is defined as the equation having a degree of one or the power of the variable will be one.

The table data is,

x           y

0          14

5          16.5

10        19

15        21.5

20       24

The table data is satisfying the equation y = 0.5x + 14.

At ( 0,14)

y = 0.5x + 14.

14 = 0 + 14

14 = 14

At ( 5,16.5)

16.5 = (0.5 x 5) + 14

16.5 = 2.5 + 14

16.5 = 16.5

At (10.19)

19 = (0.5 x 10 ) + 14

19 = 5 + 14

19 = 19

Therefore, the values of the variables x and y in table C is satisfying the equation y = 0.5x + 14.

To know more about an equation follow

https://brainly.com/question/4758596

#SPJ2

What is the first step to graphing this equation by the method of creating a table of values?

y = 5x – 7

Question 11 options:

Picking some x's


Solving for x


Adding like terms


Finding the range

Answers

If you solve for x answer is x=y/5+7/5

Un estudiante obtuvo las siguientes calificacion 5,7_6,2_4,6 obteniendo un promedio 5 calificaciones¿que nota obtuvo en la ultima prueba se esta coeficiente? A)5.0 B)5.4 C)5.7 D)6.0 E)6.5 Porfacor ayuda es para hoy

Answers

Answer:

El estudiante obtuvo una calificación de 3.5 en su última evaluación.

Step-by-step explanation:

Dado que un estudiante obtuvo calificaciones de 5,7, 6,2 y 4,6 obteniendo un promedio total de 5 en sus calificaciones, para determinar qué nota obtuvo en la ultima prueba para lograr ese promedio, se debe realizar el siguiente cálculo:

(5.7 + 6.2 + 4.6 + X) / 4 = 5

(16.5 + X) / 4 = 5

16.5 + X = 4 x 5

16.5 + X = 20

X = 20 - 16.5

X = 3.5

rachel built a rectangular prism that has a volume of 24 cubic inches. what are five possible length, width, and height dimensions for ther prism?

Answers

Answer:

idontknow

Step-by-step explanation:

bro

A template strand of DNA is 3' AACTGAACTTT } 5'

AACTGAACTTT 5

3, prime, start text, space, A, A, C, T, G, A, A, C, T, T, T, space, end text, 5, prime.

What is the complementary DNA strand that is created from this template during replication?

;[.[;'

?[;';/



(Choice A)

A AACTGAACTTT }3'5


AACTGAACTTT 3

5, A, A, C, T, G, A, A, C, T, T, T, space, end text, 3, prime


(Choice B)

B

5'\text{ TTGACTTGAAA } 3'5



TTGACTTGAAA 3



5, prime, start text, space, T, T, G, A, C, T, T, G, A, A, A, space, end text, 3, prime


(Choice C)

C

5'\text{ UUGCAUGAAA }3'5



UUGCAUGAAA 3



5, prime, start text, space, U, U, G, C, A, U, G, A, A, A, space, end text, 3, prime


(Choice D)

D

5'\text{ GGTCAGGACCC }3'5



GGTCAGGACCC 3

Answers

Answer:

Step-by-step explanation:

Answer:5

 ATGGCTAACGT 3

Step-by-step explanation:

The question is asking if the following pairing is accurate

3

TACCGATTGCA

5

3

 TACCGATTGCA 5

3, prime, start text, space, T, A, C, C, G, A, T, T, G, C, A, space, end text, 5, prime

5

ATGGCTAACGT

3

5

 ATGGCTAACGT 3

5, prime, start text, space, A, T, G, G, C, T, A, A, C, G, T, space, end text, 3, prime

Each nucleotide is appropriately paired according to the A-T/C-G pairing rules, so these are complementary strands.

Select the correct answer.
Consider this equation.

Answers

Answer:

I say the answer is D

Step-by-step explanation:

I

think

it

is

D

Answer:

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4

plz give me brainly if its right

Step-by-step explanation:

Use soh-cah-toa to find the angle of Pin degrees. help me plzzzz​

Answers

Answer:

16.9275130641

Step-by-step explanation:

\tan^{-1}\left(\frac{7}{23}\right)

A sandwich shop has 60 stores and 50% of the stores are in California. The rest of the stores are in Nevada. Part 1 out of 2 How many stores are in California and how many are in Nevada? There are stores in California and in Nevada. Next
Need it Now!​

Answers

Answer:

100/50=one over two which is half and half of sixty is thirty so therefore thirty stores are in California and thirty stores are in Nevada too

DONT ANSWER IF YOU DON'T KNOW or I will report you, if you do know answer the question

Answers

Answer:

the answer is b

Step-by-step explanation:

you tak 1 and put it back into 8 parts then multiply the 8 and the 13 by 3 and the 3 and the 1 by 8 then divide the top numbers till you get your max whole number

A pole is 65 feet tall. A support wire is
attached to the top of the pole and secured
to the ground 33 feet from the base of the
pole. Find the approximate length of the
wire.
A 32 feet
© 56 feet
0 60 feet
B 73 feet

Answers

Answer:

A) 35 feet

Step-by-step explanation:

If the pole is 65 feet tall

and the wire is attached to the top of it and secured 35 feet from the bottom of it. Then the wire is 65-33=32

5 Wyatt had one sack that contained some
colored golf balls and another sack that
contained different lengths of golf tees. He
pulled out one golf ball and one tee at
random and recorded the result on a table.
He conducted this experiment 8 times with
replacement after each trial.
Ball
Color
Tee
Length
Trial #1
white
long
Trial #2
yellow
long
Trial #3
yellow
short
Trial #4
orange
long
Trial #5
yellow
long
Trial #6
white
short
Trial #7
yellow
yellow
long
long
Trial #8
Based on the information in the table, what
is the experimental probability of Wyatt
pung out a yellow bal then a long tee?

Answers

Answer:

Step-by-step explanation:

the answer is 1/4

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