The value of a certain car, in dollars, x years from its model year can be predicted by the function f(x)=12,000(0.89)x. The value of a certain SUV, in dollars, x years from its model year can be predicted by the exponential function shown in the table. How much more will the SUV be worth than the car 5 years after their model years? Enter your answer, rounded to the nearest cent, in the box.

Answers

Answer 1

The SUV will be $5,299.13 worth than the car 5 years after their model years.

What is the meaning of rounded to the nearest cent?

Look at the number to the right of the whole cents when rounding money to the closest cent. In this instance, it is 9. Increase the cents by one if the figure is five or above. The cents should remain the same if the number is four or less. Given that 9 is more than 5, $3.299 equals $3.30.

Given that,

The value of a car can be predicted by using the function

f(x)=12,000(0.89)^x

Where x years from its model year.

To find the current value of the car, put x = 0 in the model equation:

f(0)=12,000(0.89)^0

f(0) = 12,000.

To find the value of the car after 5 years, put x = 5 in the model equation:

f(5)=12,000(0.89)^5

f(5) = 6700.871

The difference of the value of car is 12,000 - 6700.871 = $5299.129 = $5299.13 (rounded to the nearest cent)

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Related Questions

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were
defective. A store clerk generates random numbers to simulate a random sample of this shipment. The
clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through
5,000 represent working MP3 players. The results are given.
638 430 240 3,932 4,477 670 3,059 13 3,144 3,844
Based on this sample, how many of the MP3 players might the clerk predict would be defective?
The manager would expect
defective players in the shipment.

Answers

The sample was 10 numbers.

4 of the numbers are less than 301.

So 4 out of 10 would be defective.

4/10 = 0.4 x 100 = 40%

He would expect 40% to be defective.

Answer:

86 i think

Step-by-step explanation:

Find the mussing numbers
13315
+ ****
24 305​

Answers

you are missing 11553

can i have brain

Answer:

ok here is all you do  

24,305

 -13315

-------------

23,090

Step-by-step explanation:

The graph of linear function f passes through the points (-8,-2) and (4,4). What is the x-intercept of f?

Answers

Answer:

2

Step-by-step explanation:

X= 2

just make a graph and you got the answer

.

The value of the x-intercept if f passes through the points (-8,-2) and (4,4), is -4 and the equation of the line is 2y -x = 4.

What is function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

The graph of linear function f passes through the points (-8,-2) and (4,4),

Calculate the equation of the line as shown below,

y - 4 = [4-(-2) / 4 - (-8)](x - 4)

y - 4 = 6 / 12 (x - 4)

y - 4 = 1/2 (x - 4)

2y - 8 = x - 4

2y -x = 4

Calculate the x-intercept by putting y = 0,

0 × 2 - x = 4

x = -4

Thus, the value of x is -4.

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help. Julie would like to measure the variability among her classmates in her sixth-grade science class. Which of the following questions would help Julie best show the variability among her classmates? O What is the name of your science teacher? O What grade are you in? O What is your height? What school do you go to?​

Answers

Answer:

d. what school do you go to?

Step-by-step explanation:

9.5/19=x/30 solve the proportion​

Answers

Answer:

Step-by-step explanation:

Multiply (9.5)(30)=19x

So 285 = 19x

So x= 15

Answer:

x = 15

Step-by-step explanation:

Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.

a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.

Answers

Answer:

Paired or Independent Samples

Quantities   Samples

a.                 Paired Samples because the heights of the identical twins are dependent on each other.

b.                 Independent Samples; the height of men and women are independent of the other.

c.                 Independent Samples; rents in two different cities are not expected to be dependent on each other.

d.                Paired Samples; rent in a certain town between this year and last year are dependent on each other.

Step-by-step explanation:

Paired Samples are used when there is a natural or matched coupling such that a data set is generated in which each data point in one dependent sample is uniquely paired to a data point in the second dependent sample.  In this case, the two samples are dependent on each other.

Independent Samples are used when there is a random selection of samples because their observations are independent.

ms. lorenz needs to rent a car for 3 days. she can choose from two plans. plan a costs $60 per day. plan b costs $30 per day plus $.40 for each mile she drives. ms lorenz decides that plan b will cost her less than plan a. write and solve an inequality to represent the number of miles, m, that ms. lorenz expects to drive. PLEASE HELP!!!

Answers

Answer:

distance driven < 300 miles.

Step-by-step explanation:

Plan A

She needs the car for 3 days.

1 day costs 60 dollars

3 days cost 60*3 = 180 So this is the maximum amount that she can spend

Plan B

She still needs the car for 3 days

1 day costs 20 dollars of the car does not move

3 days costs 3*20 = 60 dollars.

60 + 0.4m < 180                Subtract 60

0.4m < 180 - 60

0.4m < 120                        Divide by 0.4

m < 120/ 0.4

m < 300  

Answer

so she should drive less than 300 miles.

If square ABCD is similar to square WXYZ and AB = 35 , AD = 30 , and WX = 42 , find WZ

Answers

The answer is 35.5 because

Answer:

35.5

Step-by-step explanation:

Tamira has 8 pounds of clay. How many 4-ounce
bowls can she make with the clay?

Answers

Answer:

32

Step-by-step explanation:

8 pounds = 128 ounces

128 ÷ 4 = 32

A piece of fabric 4 meters long is cut into two pieces. One piece is 1.25 meters long. How much longer is the second piece of fabric?

Answers

Answer:

1.5 meters

Step-by-step explanation:

the fabric is 4 meters long

first piece is 1.25 meters long

second piece will be (4-1.25)=2.75 meters long

therefore the second piece is (2.75-1.25) meters longer

Answer:

1.5 meters

Step-by-step explanation:

4 meters - 1.25 meters=2.75m is the length of the second one.

But when they ask how much longer , I think they want you to compare the two pieces meaning to get the answer you have to take 2.75m-1.25m=1.5m thats how much longer the 2nd fabric is longer than the other one.

hope am right

What is 0.68 is 1/10 of

Answers

Answer:

68/1000

Step-by-step explanation:

0.68=68/100.68/100×1/10=68/1000

0.68 is 1/10 of 6.8
I divided by 10 to find the answer

You must use a number line!

n + 5 > 13

PLZ HELP ILL PUT BRAINLIEST

Answers

Answer:

n= 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,57

Step-by-step explanation:

just add those to 5 bammmmmmmmmmmmmmmmmmmm

Solve these linear systems using elimination <3
1. 4x-3y=8
5x-2y=11

2. -2x-5y=9
3x+11y=4

3. 7x-6y=-1
5x-4y=1

Answers

Answer:

1.x=3/4y + 2

Step-by-step explanation:

Add 3y to both sides then after youdidnt that divide both sides by 4 Thereyougo the answer.

i have school myself so i only did one.

What's a range? Please help me​

Answers

Step-by-step explanation:

the area of variation between one place of one point to another place of another point of cup is called range.

hope it is helpful to you

How do you do this?

Answers

9514 1404 393

Answer:

  see attached for 1 and 2

Step-by-step explanation:

It's almost like drawing any other graph. Here, you need to pay attention to the domain on which each piece is defined. You need to add dots where the function is discontinuous to show how the function is defined at the discontinuity.

__

1) The dividing line is at x=2.

To the left of that line, the graph is the constant function y=3.

To the right of that line, the graph is the quadratic function y = (x-3)².

The dots are placed where x=2 (at the boundary between the parts of the function). A solid dot is placed on the end of the horizontal line, since that is the function value at x=2. An open dot is placed on the end of the parabola, since the function is not defined at that point (2, 1).

The graph is shown in the first attachment.

__

2) Here, the dividing line between the pieces is at x=-4. Again, the function is constant to the left of that line. To the right of that line, it is a line with a slope of 2 and a y-intercept of 3. The treatment of dots at the ends of the curve is the same, since the function is defined at x=-4 as the left piece, not the right piece.

The graph is shown in the second attachment.

I will give brainliest to correct answer

For a polynomial p(x), the value of p(3) is −2. Which of the following must be true about p(x)?

A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2.

Answers

Answer:

D

Step-by-step explanation:

If the polynomial p(x) is divided by a polynomial of the form x+k (which accounts for all of the possible answer choices in this question), the result can be written as

p(x)/x+k = q(x) + r/x+k

where q(x) is a polynomial and r is the remainder. Since x+k is a degree-1 polynomial (meaning it only includes [tex]x^{1}[/tex] and no higher exponents), the remainder is a real number.

Therefore, p(x) can be rewritten as p(x) = (x+k)q(x) + r, where r is a real number.

The question states that p(3) = −2, so it must be true that

−2 = p(3) = (3+k)q(3) + r

Now we can plug in all the possible answers. If the answer is A, B, or C, r will be 0, while if the answer is D, r will be −2.

A. −2=p(3)=(3+(−5))q(3)+0

−2=(3−5)q(3)

−2=(−2)q(3)

This could be true, but only if q(3)=1

B. −2=p(3)=(3+(−2))q(3)+0

−2=(3−2)q(3)

−2=(−1)q(3)

This could be true, but only if q(3)=2

C. −2=p(3)=(3+2)q(3)+0

−2=(5)q(3)

This could be true, but only if q(3) = −2/5

D. −2=p(3)=(3+(−3))q(3)+(−2)

−2=(3−3)q(3)+(−2)

−2=(0)q(3)+(−2)

This will always be true no matter what q(3) is.

Of the answer choices, the only one that must be true about p(x) is D, that the remainder when p(x) is divided by x−3 is -2.

The final answer is D.

0.9=10^(-e)×0.001
find the value of e .​

Answers

Answer:

blah blah blah blah blah blah blah blah blah

Help me olesesssssss

Answers

9514 1404 393

Answer:

  =

Step-by-step explanation:

A half rest is 2 beats, a quarter rest is 1 beat, so the rests on the left total 3 beats.

The half note on the right is normally 2 beats, but the dot adds half-again that amount, so 1 more beat. The dotted half note on the right is 3 beats.

Both represent 3 beats, so their beat counts are "equal."

A plane flying horizontally at an altitude of 1 mi and a speed of 580 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station. (Round your answer to the nearest whole number.) mi/h

Answers

Answer:

A plane flying horizontally at an altitude of 1 mi. and a speed of 500 mi ./hr. passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing ex when it is 2 mi. away

help me please this gives 30 points

Answers

Answer:

12 pints

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Basically you need to use ratios using the gallons and pints

so for every 8 pints you get a gallon so the ratio would be 1:8 in the next number we have 1 and 1/2 we already found 1 gallon which is 8 then you need to find half of a gallon which is 8/2 or splitting the 8 in half which is 4. 8 pints (1 gallon) plus 4 pints (half a gallon) equals 12 pints. you can apply this rule for the next number we have 1 gallon which is 8 pints and we need to find 2 which would be 8 times 2 or 16 pints.

Help me for free Brainliest

Answers

Answer:

C

Hope It Help

Step-by-step explanation:

Brainliest please

Answer:

C

Step-by-step explanation:

Domain = x-values

Range = y-values

What is the answer help please if you give me a link I will report you

Answers

Answer:

7

Step-by-step explanation:

The median is always the middle number.

Solve for y:5y+2-2y=8y-4-2y

Answers

Answer: y=2
3y+2=6y-4
6=3y
y=2

Answer:

2

Step-by-step explanation:

5y+2-2y=8y-4-2y

5y-2y=8y-2y-4-2

3y=6y-6

6y-3y=6

3y=6

y=6/3

y=2

What is the height of a triangle whose base is 36 inches area is 234 Square inches

Answers

hb=13in
hope this helps!
have a good day!

Answer:

hb will = 3in/ three in

4. What is the volume of the triangular prism

10 in
6 in
8 in

Answers

Answer:

V=480 in^3

Step-by-step explanation:

Use the formula

V=BxH

V=(60)(8)

V=480 in^3

PLEASE HELP! 10 POINTS.

Answers

2x+30=-50

2x=-50-30

2x=-80

x=-80/2

x= - 40

Answer:

-40

Step-by-step explanation:

cuz 2 times -40=-80 and -80+30 equals -50

PLEASE HELP ASAP GEOMETRY I AM LITERALLY DYING!! 100 POINTS REAL ANSWERS ONLY OR YOU WILL BE REPORTED AND GET NO POINTS!

Let’s design a new ferris wheel!! Create a sketch of a new Ferris wheel. This new ferris wheel must have an arc length measuring 3 25π feet. What is the equation of your new ferris wheel if the center must be at least 60 feet from the ground? Be sure to show and explain all work.

Answers

9514 1404 393

Answer:

  x^2 +(y -61)^2 = 625/36

Step-by-step explanation:

The graph of the above equation is attached.

If the circumference of the wheel is 25π/3 feet, the diameter is ...

  d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet

The radius will be half that value, or 25/6 feet.

For a center point (h, k) and radius r, the equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.

This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...

  x^2 +(y -61)^2 = 625/36

Please help me I really need it

Answers

Answer:

Angle C

Step-by-step explanation:

By applying sine rule in the given triangle,

[tex]\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}[/tex]

[tex]\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}[/tex]

Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.

Since, BD > BC > CD

Therefore, Opposite angles of these sides will be in the same ratio.

∠C > ∠D > ∠B

Largest angle of the triangle is angle C.

PLEASE HELP ASAP REAL ANSWERS ONLY OR WILL BE DELETED! 20 PTS!!


A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 7cm. A stone is placed in the water and the water rises 2.7 cm. Find the volume of the stone.

Answers

Answer:

648cm³

Step-by-step explanation:

The container is a cuboid thus:

volume of water is:

v=l×w×h

=10×24×7

=1680cm³

volume of water+stone=10×24×(7+2.7)

=10×24×9.7

=2328cm³

Thus volume of stone equals

2328-1680.

=648cm³

One half of a number , n is at most 24

Answers

Answer:

So if N is 24, then the number is 12.

Step-by-step explanation:

24 / 2 = 12

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