The value of a new truck decreases exponentially at a rate of 4.8% per year. If the purchase price of the new cars $42,000, how much is the car work by the time it is paid off by the time it is paid off 5 years later?

Answers

Answer 1

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

What is the worth of the car?

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

FV = Future value P = Present value R = rate of decline N = number of years

$42,000 x (1 - 0.048)^5 = $32,842.34

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Related Questions

Jacob sells his motorbike for £112 making a loss of 12% on its original price. Work out its original price

Answers

Answer:

125,44

Step-by-step explanation:

Loss = 112÷100*12

=13,44

Therefore : 112 + 13%

=112 + 13,44

=125,44

The sum of three consecutive, positive, even integers is 18
more than twice the smallest. The integers are_____.

Answers

Answer:

5, 6, 7

Step-by-step explanation:

5 + 6 + 7 = 18

Answer:

15,16,17

Step-by-step explanation:

The question states, The sum of three consecutive, positive, even integers is 18 more than twice the smallest.

Let a,b,c be positive integers

Let a be the smallest integer.

Because the answer says the sum of the integers has to be 18 more than   2 x  the smallest integer. It means the situation can be represented as:

a + b + c = 2a + 18

Because these numbers are consecutive, meaning they are right besides each other. Every variable can be written in terms of a.

a = a

b = a + 1

c = a + 2

Now we can solve for a:

a + (a+1) + (a+2) = 2a + 18

a + a + 1 + a + 2 = 2a + 18

3a + 3 = 2a + 18

a + 3 = 18

a = 15

then we can fill in the rest.

b = (15) + 1 = 16

c = (15) + 2 = 17

Now we verify.

15 + 16 + 17 = 2(15) + 18 ?

15 + 16 + 17 = 48

2(15) + 18 = 48

We now have the solution. The consecutive numbers, are, and can only be

15,16,17

Solve for x.
32
(2x - 12)°

Answers:
x = 35
X= 51
x = 80
x = 96

Answers

51 I thinks that’s the correct answer

Use the figure to answer the question.
What is the area of the triangle on the left?

Answers

Answer: 15

Step-by-step explanation:

Area of a triangle = base * height.

Since the inside figure is a square, the base of the triangle must be 5.

To find the height: The length of the entire figure is 17; subtract 5 to account for the square, and you know that the remaining 12 must be divided easily on the right and left side; this shows that the height of the triangle on the left must be 6.

Plug these numbers into the formula: 5 * 6 / 2 = 15 :)

Answer:

the answer is 29

Step-by-step explanation:

The answer is 12 because

the length is 17 then i did minus 5 since that's the width

17-5=12

that's the length for the slanted part then......

12+12=24+5=29

(you get 5 from if you see the straight line on the right is 5 so on the other its the same thing.

A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?

Answers

Answer:

7 pigs, 16 chickens

Step-by-step explanation:

p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23

System of Equations:

Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legs

Then, use substitution & solve:

[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]

Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c

[tex]23-p=c\\23-7=c\\c=16[/tex]

Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]

To check your work, plug those solutions back into the system.

------

(I hope that helps & good luck! <3)

multiply .( p + q ) ( p + q )​

Answers

Answer:

[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]

Help anyone?Can u be specific and tell how u got it​

Answers

Answer:

6 1/4

Step-by-step explanation:

3+2=5

2+3

1/2+3/4= ----------------------------------------------------

4

=5/4

=1 1/4

5+ 1 1/4

=6 1/4

What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race Course" section of the Performance Task

there are no images.

Answers

A line segment in geometry is the part of a line which is bounded by two distinct end points.

What is line segment?

Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.

A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.

Learn more about line segments on:

https://brainly.com/question/2437195

PLEASE HELP! DUE TODAY! TY!
In the figure, line segment AB is tangent to the circle at point A. Find the length of line segment AB.

Work:

AB =

Answers

Answer: 12 inches

Step-by-step explanation:

estimation we are told 5 miles is 8 km.
ert 68 km to miles.

Answers

Approximately 48 km.

Which of the following situations results in 2/3 ? Select three that apply

Answers

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

"Three cats share 2 cans of tuna. How much of a can does each cat receive?"

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

"Two apples are split among 3 people. How much of an apple does each person receive?"

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

Find the volume of the given figure. Round your answer to the nearest tenth. See picture for full problem. Please and thank you so much!(:

Answers

Answer:

146.7

Step-by-step explanation:

The equation for finding the volume of a pyramid is [tex]V = \frac{l w h}{3}[/tex].
For this pyramid, the height is 8, the width is 5, and the length is 11.
[tex]\frac{11x5x8}{3}[/tex]=146.67
146.67 rounded to the nearest tenth = 146.7.

please help i am confused.

Answers

The answer would be (540 - (111 + 103 + 122 + 90[because of the right angle]) and 540 is the total angle measurement of a pentagon (or a 5 sided figure)

Find the missing side. Round your answer to the nearest tenths.

X=

Answers

Answer:

   16.5 ≈ x

Step-by-step explanation:

We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.

The tangent function definition is

tan α = opposite side/ adjacent side

In our problem

   tan 70° = x/ 6, multiply both sides by 6 to isolate x

6 · tan 70° = x, use the calculator (make sure is set in degrees)

    16.4848 ≈ x , round to the nearest tenths

         16.5 ≈ x


In the figure below, mWXY = 62°, mXYW = 72°, and mWZV = 77°.


What is mZVW?

( i cant remove the answer i already selected sorry,)

Answers

mWXY (62) + mXYW (72) = 134. 180-134= 46. 46+77= 123. 180-123= 57. The answer is D, 57.

A puppy weighs 4 pounds. How many ounces does the puppy weigh?

Answers

Answer:

64 ounces

Step-by-step explanation:

Since 1 lb = 16 oz, just do 4 × 16 = 64

If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

There are 16 ounces in a pound.

1 pound= 16 ounces.

Given that puppy weighs 4 pounds.

We have to find the wight in ounces.

To convert pounds to ounces, we need to multiply the weight in pounds by 16.

The puppy weighs 4 pounds x 16 ounces/pound

= 64 ounces

Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

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#SPJ2

HELP!!!! I can’t figure this out

Answers

Answer:

[tex]A.\,\orange{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

Step-by-step explanation:

[tex] \frac{x + 2}{ {x}^{2} + 5x + 6 } \div \frac{3x + 1}{ {x}^{2} - 9} \\ \\ = \frac{x + 2}{ {x}^{2} + 3x + 2x+ 6 } \div \frac{3x + 1}{ {x}^{2} - {(3)}^{2} } \\ \\ = \frac{\cancel{x + 2}}{ \cancel{{({x}+ 3)}} \cancel{(x+ 2) }} \times \frac{\cancel{( {x} + 3)}( {x} - {3)}}{3x + 1} \\ \\ = \purple{ \bold{ \frac{x - 3}{3x + 1} }}[/tex]

What is the simplest form of

2(3x-2y) + 3(x-3y)

Answers

Answer:

9x - 13y

Step-by-step explanation:

2(3x - 2y) + 3(x - 3y)

Use distributive law a(b + c) = ab + ac

⇒ 2·3x - 2·2y + 3·x - 3·3y

⇒ 6x - 4y + 3x - 9y

Gather like terms:

⇒ 6x + 3x - 4y - 9y

Combine like terms:

⇒ 9x - 13y

PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER​

Answers

Answer:

883.125

Step-by-step explanation:

First, use the formula for volume of a sphere (4/3 * pi * r^3) to get the volume of the full sphere, then divide it by 2 to get the volume of half of the sphere.

Hopefully this helps- let me know if you have any questions!

Rewrite 4 as a fraction.
4/4
4/1
1/4

Answers

Answer:

4/1

Step-by-step explanation:

when you divide 4 by 1 you will get 4 which is your original answer.

5.5x = 11? Please help. :c

Answers

Answer:

The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

You need the x to be alone so to do that you divide both sides by 5.5 which gives you

x = 2

solve the equation 5.5g+9=2.5g+27
a. find the value of g.
b. explain how you can check that the value you found for g is correct. if your check does not work, does that your result is incorrect?

Answers

I will clarify you
5.5g+9=2.5g+27
Or, 5.5g-2.5g= 27-9
Or, 3g= 18
Or, g= 18/3
Or, g= 6



Hope it helped you.. I have no doubt that it is incorrect.

The inequalities x + 3 < -5 and -x > -8 are the same.

True False

Answers

Answer:

False

Step-by-step explanation:

x + 3 < -5

x < -8

-x > -8

x < 8

Both aren't same

Please just help. I’m stuck on math! Determining spinner probability Lol BUT please help! If you know how to do this

Answers

1. 2

2. 2
3. 4

4. 3 and 1

5. C

6. B

7. C and D

8. 3

9. 1 and 4

10. C

11. 2

12. D

You're Welcome✌! Brainliest would mean a lot.

Given the 4 points below, identify what shape is formed and how you found your answer. Drawn out.
A(-1, 0), B(0, 2), C(4, 0), and D(3, -2)

Answers

My answer:

Rectangle

My Explanation:

The reason why this is my answer, is because you can see in the picture, I have this coordinate grid, and on that, I drew out these points, and hence, I got this picture.

Refer to the picture below!

~BrainlyMaster~ - Helping Students

The volume of a sphere is 75716 cm3.
Work out the radius of the sphere.

Answers

Answer:

Step-by-step explanation:

Givens

V = 75716

pi = 3.14

r = ?

Formula

V =  (4/3) pi * r^3

Solution

75716 =  (4/3) * 3.14 * r^3              Multiply both sides by 3/4

75716 * 3/4 = 3.14 * r^3

56787 = 3.14 r^3                           Divide by 3.14

56787 / 3.14 = 3.14 * r^3/3.14

18085 = r^3

∛18985 = ∛ r^3

r = 26.25

The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?

Answers

Answer:

126

Step-by-step explanation:

the number of cargo cars is represented by the 35 part of the ratio , then

105 ÷ 35 = 3 ← value of 1 part of the ratio , then

passenger cars = 7 × 3 = 21

total cars = 105 + 21 = 126

A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. The authors of the study wanted to know if the two groups of teachers had different levels of job satisfaction. They will use a significance level of 5% for their test. Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 What is (are) the critical value(s) for z in this study? –1. 65 and 1. 65 –1. 96 and 1. 96 1. 65 1. 96.

Answers

The Critical z-values are -1.96 and 1.96 option second is correct.

It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.

It is required to find the critical z-values.

What is the critical value of Z?

It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.

We are assuming the data given below:

x = 3.5

[tex]\mu =3.3[/tex]

[tex]\sigma = 0.6[/tex]

n = 40

We know the formula for the Z score:

[tex]\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

[tex]\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }[/tex]

Z = 2.10

The area under the normal distribution curve:

P(Z= 2.10)  = 0.9821   ( from the z table)

We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.

H1: There is a significant difference in levels of job satisfaction.

The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.

The critical z-values are:

-1.96 and 1.96  (from the critical value calculator at a 5% significance level with two-tailed)

Thus, the Critical z-values are -1.96 and 1.96 option second is correct.

Learn more about the critical value here:

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rohana wants to find the volume of a sphere that has a radius of 10 feet. which equation can she use to solve for this value in cubic feet ?

Answers

The equation that can be used to determine the volume of the sphere is 4/3π10³

What is the volume of the sphere?

A sphere is a three-dimensional object in which points from its center to its circumference is equidistant.

Volume of a sphere = 4/3πr³

Where:

π = pi = 22/7r = radius

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

Walnuts are priced
according to the chart
below.
POUNDS (LBS)
COST (S)
3
$7.77
5
$ 12.95
8
$20.72
What is price per pound for the
walnuts?
A.
$2.59
B. $3.86
C. $2.17
D. $3.07

Answers

I’m pretty sure it is A 2.59 because you want to find the unit rate so you divide 12.95 by 5 and get 2.59

Answer:

A. $2.59

Step-by-step explanation:

If you divide the costs by the pounds:
3/7.77 = 2.59
12.95/5 = 2.59
20.72/8 = 2.59
Therefore, the answers is $2.59
Hope this helps :)

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