Jessica recently purchased her dream car a Porsche 911. for $55,000. the value of this car will depreciate by 8% each year. Find the value of the car after 5 years.
55,000(0,92)^5= $36,249.

Answers

Answer 1

Answer:

The future value of the car after 5 years is $36,249.5

Step-by-step explanation:

Given the value at which a car depreciates, we are interested in finding the value of the car after a period of 5 years.

To find the value, we make use of an exponential equation;

The exponential equation to use is;

FV = PV(1 - r)^n

where FV is the future value of the car which is what we want to calculate

PV is the present value of the car which is $55,000

r is the depreciation percentage = 8% = 8/100 = 0.08

n is the number of years.

So now, we input these values into the formula;

FV = 55,000(1 -0.08)^5

FV = 55,000(0.92)^5

FV = $36,249.5


Related Questions

Simplify the expression. (6x – 5) + (4x2 – 3x + 4)

Answers

[tex](6x - 5) + (4x^2- 3x + 4)=\\6x-5+4x^2-3x+4=\\4x^2+3x-1[/tex]

Dtermine the answer to (−5) + 4 and explain the steps using a number line

Answers

Answer:

Step-by-step explanation:

=-5 +4

= -1

put a dot on -1 and go from -5 to -1 and then from -1 to -5

Right or wrong ????

Octagon ABCDEFGH and its dilation, octagon A'B'C'D'E'F'G'H', are shown on the coordinate plane below:
G
H
5
G
Н"
F
2
A
חד
A
2
7
B
B
-7-6-5-4-2-2=1
E
-2
E
D.
-5
D
C
С
If the center of dilation is at the origin, by what scale factor was octagon ABCDEFGH dilated? (4 points)

Answers

Answer:

c   1/2

Step-by-step explanation:

You are incorrect.

We are going from ABCDEFGH to A'B'C'D'E'F'G'H'. We are going from the large octagon to the small octagon. The scale factor of a dilation is the number you multiply the original lengths to get the lengths of the dilation.

[tex]scale~factor = \dfrac{length~of~dimension~in~dilated~image}{length~of~corresponding~dimension~in~original~figure}[/tex]

Look at point (6, 0) which becomes (3, 0) in the dilation.

The distance from the origin to (6, 0) is 6 units.

The distance from the origin to (3, 0) is 3 units.

scale factor = dilated/original = 3/6 = 1/2

The scale factor of the dilation is 1/2.

Also look at segment AB whose length is 4. The length of segment A'B' is 2.

scale factor = dilated/original = 2/4 = 1/2

Answer: 1/2

find y.
picture attached

Answers

The ans: The ans:
y = 2.97167

-5x-10=10 solve for x

Answers

Answer:

x = -4

Step-by-step explanation:

-5x-10=10

Add 10 to each side

-5x-10+10=10+10

-5x = 20

Divide each side by -5

-5x/-5 = 20/-5

x = -4

Answer: x= -4

Step-by-step explanation:

[tex]-5x-10=10[/tex]

add 10 on both sides

[tex]-5x=20[/tex]

divide -5 on both sides

[tex]20/-5=-4[/tex]

[tex]x=-4[/tex]

Draw graph x + y = 7 and x - y = 2 on the same graph

Answers

Graphed in attached file and drawn!

Answer:

see attachment

Step-by-step explanation:

mr.wright judges the annual jelly bean challenge at the summer fair.every year he encourages the citizens in his town to guess the number of jelly beans in the jar.he keeps in record of everyones guesses and the number of the jelly beans each person was off by. what is the independent and dependent quantity?

Answers

Answer: Independent quantity : number of jelly beans in the jar guessed.

Dependent quantity : number of the jelly beans each person was off by.

Step-by-step explanation:

Independent quantity : A quantity that the experimenter can change or control.Dependent quantity : A quantity that depends on each independent quantity.

In the given scenario, there are two quantities introduced:

number of jelly beans in the jar guessed. number of the jelly beans each person was off by.

Since, "number of the jelly beans each person was off by." depends on "number of jelly beans in the jar guessed.".

So,

Independent quantity : number of jelly beans in the jar guessed.

Dependent quantity : number of the jelly beans each person was off by.

What is the value of the expression below when y = 4?
3y2 + y + 8​

Answers

Answer:

3y²+y+8

=3(4)²+4+8

=3(16)+4+8

=48+4+8

=60

Please answer this question now

Answers

Answer:

11 yd

Step-by-step explanation:

To find the volume of a rectangular prism, we multiply the width, length and height.

We already know the length, 18, and the height, 11, and the volume, 2178, so we can easily solve for y.

[tex]18\cdot y\cdot11=2178\\192y=2178\\y = 11[/tex]

Hope this helped!

Find the slope of the line that passes through the points (-8,-3) and (2, 3)
0
1
3/5
5/3

Answers

Answer:

The answer is

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

To find the slope passing through two points we use the formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Where

m is the slope

( x1 , y1) and ( x2 , y2) are the points

From the question the points are

(-8,-3) and (2, 3)

So the slope is

[tex]m = \frac{3 + 3}{2 + 8} = \frac{6}{10} = \frac{3}{5} [/tex]

Hope this helps you

A statistical survey shows that 28% of all men take size 9 shoes. What is the probability that your friend's father takes size 9 shoes

Answers

Answer:

7/25 of a chance or a 28% chance as said in the questiom

Step-by-step explanation:

So, the question says it's a 28% chance or a 28/100 chance.

All you have to do is simplify the fraction or just still right 28% chance.  But for the fraction:

Divide the numerator and denominator by 2 to get 14/50.

Divide both by two again to simplify fully to 7/25

Determine the intercepts of the line.
y= 10x - 32
y-intercept:
x-intercept:

Answers

Answer:

see below

Step-by-step explanation:

To find the x intercept set y =0 and solve for x

0= 10x - 32

32 = 10x

Divide by 10

3.2 = x

The x intercept

( 3.2,0)

To find the y intercept set x =0 and solve for y

y= 0 - 32

y = -32

( 0, -32)

Answer:

(0, -32)

(3.2, 0)

Step-by-step explanation:

The line is in slope intercept form. It is easy to identify the y-intercept.

[tex]y=mx+b[/tex]

The y-intercept is (0,-32). '-32' replaces the 'b' in the equation.

To find the x-intercept, set the value of 'y' to zero and solve for 'x'.

[tex]0=10x-32\\\\0 + 32 = 10x-32+32\\\\32=10x\\\\\frac{32}{10}=\frac{10x}{10}\\\\\frac{32}{10}=x\\\\\rightarrow \frac{32/2}{10/2}=\frac{16}{5}\\\\ \boxed{x=\frac{16}{5}}[/tex]

The x intercept is (16/5, 0).

This can also be expressed as (3.2, 0).

Hope this helps.

What is the smallest number than can be subtracted from 438 to make it
exactly divisible by 5? Give a reason for your answer.​

Answers

Answer:

3

Step-by-step explanation:

basically the largest number decided by 5 smaller than 438 is 435. so the answer is 3

Answer:

Any number divisible by 9 must have the sum of its digits divisible by 9. The sum of the digits of 456 is 15, so you need to subtract 6.

A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = One-halfbh 68.7 cm2 161.8 cm2 381.3 cm2 450.0 cm2

Answers

Answer:

  161.8 cm²

Step-by-step explanation:

The given formula works if you have both legs of the triangle. Using the given information, a better formula is ...

  A = (1/2)ab·sin(C) . . . . C is the angle between sides 'a' and 'b'

  A = (1/2)(27.6 cm)(30 cm)sin(23°) ≈ 161.8 cm²

Answer:

B on edg 2020

Step-by-step explanation:

Just took test

Please help me understand this number sequence

Answers

Answer:

Step-by-step explanation:

A=a(r)^t

a=1

time=2.5 hours=25/10 ×60=150 minutes

10t=150

t=150/10=15

[tex]A=1(2)^{15}=32,768[/tex]

Cam’s tent (shown below) is a triangular prism.
Find the surface are, including the floor of his tent
PLEASE HELP

Answers

Answer:

21.4 m²

Step-by-step explanation:

To find the surface area of this whole triangular prism, we have to look at the bases (the triangles), find their surface area, then look at the sides (the rectangles) and find theirs.

Let's start with the triangles. The area of any triangle is [tex]\frac{bh}{2}[/tex]. The base of this triangle is 2m (because there are 2 one meters) and the height is 1.7m.

[tex]\frac{2\cdot1.7}{2} = \frac{3.4}{2} = 1.7[/tex]

So the area of one of these triangles is 1.7m. Multiplying this by two, because there are two triangles in this prism:

[tex]1.7\cdot2=3.4[/tex]

Now let's find the area of the sides.

The side lengths are 2 and 3, so

[tex]2\cdot3=6[/tex], and there are 3 sides (including the bottom/floor) so [tex]6\cdot3=18[/tex].

Now we add.

[tex]18+3.4=21.4[/tex] m².

Hope this helped!

Answer: 21.4 square meters^2

Step-by-step explanation:

5. Find the product of p(x) and q(x) if p(x) = 2x+7 and q(x) = 4x-9
a. Is p(x) a polynomial? If not, give an explanation.
b. Is q(x) a polynomiala If not, give an explanation.
c. Is the product a polynomials If not, give an explanation,
d. If the product is a polynomial, identify type and degree.

Answers

Answer:

p(x), q(x), and their product are all polynomials.

p(x) · q(x) = 6x² + 10x - 63

Step-by-step explanation:

First of all P(x) and q(x) are polynomials because polynomials refer to any sum, difference, or product of a collection of algebraic terms. The word polynomials is general. P(x) and q(x) are polynomials but more specifically they are binomials since they only have two terms. Their product is a polynomial as well, but more specifically its a trinomial because it has three terms.

process of multiplying

Using the distributive property (or foil method) when multiplying p(x) and q(x) you would first get the expression 6x² - 18x + 28x - 63. From here you would combine "like terms". This would give you your final answer of

6x² + 10x - 63. Sorry, I couldn't help you with the D question but I hope this helps ;)

Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 333 trips, and for each trip Lennox gets 300300300 dollars. On a single trip, a truck delivers 505050 packs, and each pack contains 121212 kilograms of apples. Overall, Lennox sells 450045004500 dollars worth of apples in a week. How much does Lennox get for a single kilogram of apples? Dollars per kilogram

Answers

Using proportions, it is found that Lennox gets 2.5 dollars per kilogram.

During each week:

The truck goes on 3 trips.In each trip, 50 packs are delivered.Each pack contains 12 kilograms of apples.

Hence, the amount of kilograms delivered each week are:

[tex]A = 3(50)(12) = 1800[/tex]

He sells 4500 dollars each week(1800 kilograms), hence, the amount of dollars per kg is:

[tex]D = \frac{4500}{1800} = 2.5[/tex]

Lennox gets 2.5 dollars per kilogram.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:0.50

Step-by-step explanation:

LAST QUESTION TO MY SUMMER HOMEWORK PLEASE HELP 'BRAINLIEST i will give 25 POINTS at ONCE also its a simple question please answer it quickly I thank you very much and will answer a non math question if you would like.

Answers

Answer:

Step-by-step explanation:

here,

132 degree + 54 degree + x + 90 degree = 360 degree ( angles around a point)

therefore ,

x+ 276 degree =360 degree

x = 360-276

x= 84 degree

hope it helps and pls do mark my answer as the brainliest.............

Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales. She sold $600 in clothing on Saturday and $1200 in clothing on Sunday. How much did she earn over the two days? A. $252 B. $291 C. $392 D. $532

Answers

Answer:

I hope this helps!

Answer D

Step-by-step explanation:

Step-by-step explanation:

salary per day =$140

bonus on sales =14%

sales on Saturday =$600

bonus on Saturday sales=14/100*$600

=$84

sales on Sunday =$1200

bonus on Sunday sales=14/100*$1200

=$168

total amount she earned over the two days=$140+$84+$168

=$532

Art walked 4.1 km in preparation for the Community Walk–a–thon. Bill walked 3600 m. How many more metres did Art walk than Bill?

Answers

Answer:

.5 more kilometres.

Step-by-step explanation:

3600 m = 3.6 km. 4.1 is .5 greater than 3.6

500 m

First you need to convert 4.1 km into meters.
1 kilometer (kilo=1000) equals 1000 meters, so to convert 4.1 kilometers into meters you need to multiply 4.1 x 1000

4.1 x 1000 = 4,100
4.1 km = 4,100 m

To find out how many more meters art walked than Bill, you need to subtract the amount of meters Bill walked (3600 m) from the amount of meters Art walked (4100 m).

4,100 - 3,600 = 500

Art walked 500 more meters than Bill

3(x-4)=-5 solve for x

Answers

Answer:

x = 7/3

Step-by-step explanation:

3(x-4)=-5

Distribute

3x - 12 = -5

Add 12 to each side

3x -12+12 = -5+12

3x = 7

Divide by 3

3x/3 = 7/3

x = 7/3

Answer:

x = 7/3

Step-by-step explanation:

3(x-4)=-5

3x -12= -5

3x = 7

x =7/3

graph a
graph b
graph c
graph d

Answers

which of the following isthe√×51? answer is A .0-1

Find the number of four-digit numbers which are not divisible by 4?

Answers

Answer:

6750

Step-by-step explanation:

4 digit numbers are 1000,1001,1002,...,9999

let numbers=n

d=1001-1000=1

9999=1000+(n-1)1

9999-1000=n-1

8999+1=n

n=9000

now let us find the 4 digit numbers divisible by 4

4| 1000

______

| 250

4 |9999

  _____

  | 2499-3

9999-3=9996

so numbers are 1000,1004,1008,...,9996

a=1000

d=1004-1000=4

let N be number of terms

9996=1000+(N-1)4

9996-1000=(N-1)4

8996=(N-1)4

N-1=8996/4=2249

N=2249+1=2250

so number of 4 digit numbers not divisible by 4=9000-2250=6750

The circumference of a circle is 6 inches. What is the area of the circle?
A. 3π in. squared
B.9π in squared
C.12π in. squared
D.36π in squared

Answers

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is [tex]2\pi r[/tex]).

[tex]6\div2=3[/tex]

So the radius is 3.

Now that we know the radius, we can find the area by using the equation [tex]\pi r^2[/tex].

[tex]\pi 3^2\\\pi9\\9\pi[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

2πr = 6, r = 3/π

πr² = π(3/π)² = 9/π in.²

Keisha, Felipe, and Manuel sent a total of 100 text messages during the weekend. Keisha sent 8 more messages than Felipe. Manuel sent 2 times as many
messages as Felipe. How many messages did they each send?

Answers

Answer:

Felipe = 23 messages

Keisha = 31 messages

Manuel = 46 messages

Step-by-step explanation:

Keisha = K

Felipe = F

Manuel = M

=> There are a total of 100 messages.

=> K sent 8 +F => K = 8 + F

=> M sent 2 * F => M = 2F

=> F = F

=> 8 + F + 2F + F = 100

=> 8 + 4F = 100

=> 8 - 8 +4F = 100 -8

=> 4F = 92

=> 4F/4 = 92/4

=> F = 23

So, Felipe = 23 messages.

      Keisha = 8 + F = 8 + 23 = 31 messages.

      Manuel = 2F = 2* 23 = 46 messages.

46 + 31 + 23 = 77 + 23 = 100 messages.

So, the answer is correct.

La presa de Hidroituango tiene una altura de 225 m., alberga 20 millones de m^3 de volumen y una cresta de 550 metros de longitud, suponiendo que es un cuadrilátero con la base inferior de 200 m de longitud, determine las dimensiones y área superficial de la presa

Answers

Answer:

El ancho de la superficie = 444,44 my el largo = 200 m

La superficie de la superficie de la presa = 88888,89 m²

Step-by-step explanation:

Los parámetros dados son;

La altura del agua en la presa = 225 m

El volumen de agua en la presa, d = 20 millones de m³

La longitud de la base = 200 m

Sea el ancho de la presa = x

El volumen viene dado por la relación;

200 × 225 × x = 20 millones de m³

x = 20.000.000 / (200 × 225) = 444,44 m

Por tanto, las dimensiones de la superficie son ancho = 444,44 my largo = 200 m

El área de superficie de la superficie de la presa = 444.44 × 200 = 88888.89 m².

Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.67, the towel cost $21.73,
and the candle cost $9.16 before any coupons or discounts.
She used a $0.50-off coupon on the candle, a $2.75-off coupon on the towel, and the set of dishes was on sale for 10% off the
regular price. Which of the following best describes the amounts that Antonia saved?

Answers

Savings = 0.5 + 2.75 + 35.24* 0.1 = 6.77

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. If Stacy bought 15 tickets, she would spend $

Answers

Answer:

$52.2

Step-by-step explanation:

Given her total cost of ride tickets modeled by the equation c = 3.5t where c is the total cost of tickets and t is the number of tickets, If Stacy bought 15 tickets, to know the amount she would spend on 15 tickets, we will substitute t = 15 into the modeled equation as shown;

[tex]c = 3.5t\\when t = 15\\\\c = 3.5(15)\\\\c = \frac{35}{10} * 15\\ \\c = \frac{5*7}{5*2} * 15\\\\[/tex]

[tex]c = \frac{7}{2} * 15\\ \\c = \frac{105}{2}\\ \\c = \ 52.2[/tex]

Hence Stacy would spend $52.2 on 15 tickets

Answer:

I hope this helps!

Step-by-step explanation:

All of the following are true about the standard error of the mean except​ a. ​it is larger than the standard deviation of the population. b. ​its value is influenced by the standard deviation of the population. c. ​it decreases as the sample size increases. d. ​it measures the variability in sample means.

Answers

Answer:

The correct option is a.

Step-by-step explanation:

The standard deviation of the sampling distribution of sample mean ([tex]\bar x[/tex]) is known as the standard error. It is denoted by [tex]\sigma_{m}[/tex].

The formula to compute the standard error is:

[tex]\sigma_{m}=\frac{\sigma}{\sqrt{n}}[/tex]

As the population standard deviation is divided by the square root of the sample size, the standard error can never be more than the population standard deviation, σ.

Also, since the population standard deviation is directly proportional to the standard error, the value of [tex]\sigma_{m}[/tex] is affected by the value of σ.

And since the sample size is inversely proportional to the standard error, the value of [tex]\sigma_{m}[/tex] decreases as the value of n increases.

The sample mean is a statistic, i.e. it represents a specific characteristic (here, the average) of the sample.

The standard deviation of any statistic measures the variability of the statistic.

So, the standard error measures the variability in sample means.

Thus, the correct option is a.

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Nous finions nos devoirs You've just won the lottery! Your winnings will be paid as a monthly annuity of $1,000 per month for 50 years. Assume an interest rate of 10 percent compounded monthly. (Do not round intermediate calculations. Round your final answer two decimal places.) What is the present value of your winnings if the first payment starts today What item of food is eaten with every meal in Guatemala? black beans corn tortillas rice greens (8x 2 15x)(x 2 27x)=ax 2 +bxleft parenthesis, 8, x, squared, minus, 15, x, right parenthesis, minus, left parenthesis, x, squared, minus, 27, x, right parenthesis, equals, a, x, squared, plus, b, x If the equation above is true for all values of xxx, what is the value of b-abab, minus, a ? Escoge la mejor traduccin para la siguiente oracin. They have written a long letter. A. Han escribo una carta larga B. Han escribito una carta larga. C. Han escribido una carta larga. D. Han escrito una carta larga. A population consists of 100 elements. We want to draw a simple, random sample of 20 elements from this population. On the first selection, the probability of any particular element being selected is ____. A product with an MSRP of CNY 15.00 has a promotion allowance of 15%. How much will the distributor receive in promotion allowance for each unit A donkey is attached by a rope to a wooden cart at an angle of 23 to the horizontal. the tension in the rope is 210 n. if the cart is dragged horizontally along the floor with a constant speed of 7 km/h, calculate how much work the donkey does in 35 minutes. What is the lateral area of the drawing is it a 200 km.b. 425.c.114d.1021km 5 - (4 - 3x) = 10how would u distubute in this problem "The flexible budget formula is fixed costs $50,000 plus variable costs of $4 per direct labor hour. What is the total budgeted cost at (a) 9,000 hours and (b) 12,345 hours State the correct polar coordinate for the graph shown: The success of the United States requires the efforts of only a few strong and knowledgeable citizens.is this true or false?????? What is the area of this composite figure? A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped10 times and the man is asked to predict the outcome in advance. He gets 7 out of10 correct. What is the probability that he would have done at least this well if hehad no ESP? A teacher has 1,425 marbles to divide equally among 9 groups of students to use in an experiment. What is the least number of marbles he could have left after the marbles are distributed? bananas cost $4 and apples close 0.60$ each if b represents the number of bunches of bananas and a represents the number of apple which of the following expressions represents the total cost? 1 4.60(b+a) 2 4b + 0.60 3 4.60 + a 4 4.60ab Which of these phrases matches the style of Bradfords writing a Meal of brown bread and boiled cabbage a Cacaphony jarring jangling discordance as bright as a glittering multifaceted jewel in a golden crown running like cheetahs Suppose you have read two different books on world war 2 and each book has different arguments about how the war started which of the following sources provides the best support for the authors arguments I need help. can I get some