A new car is purchased for $26,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 7 years after it was purchased, to the
nearest hundred dollars?

Answers

Answer 1

Answer: $203

Step-by-step explanation: We first start out with the exponential decay model which is y=a(1-r)^t, then plug in the numbers of your problem:

-y=26,000(1-0.50)^7

-y=26,000*0.50^7

-y=26,000*0.0078125

-y=203.125

Then, after rounding to the nearest hundred dollars you get your answer....

:) hope this helped a bit

Answer 2

The value of the car 7 years after it was purchased will be $203.

What is exponential decay?

A quantity lowers gradually at first during exponential decay before rapidly declining after that. Half-life may be calculated using the exponential decay formula, which is also used to estimate population decrease.

It is given that, A brand-new car costs $26,000 to buy, and every five years, its value decreases by 50%.

We have to find the value of the car 7 years after it was purchased

The exponential decay model, y=a(1-r)t, is where we begin. The data from your problem are then entered.

y=-26,000(1-0.50)^7

y=-26,000*0.50^7

y=-26,000*0.0078125

y=-203.125         (-ve shows the value is declining)

Thus, the car will be worth $203 seven years after it was bought.

Learn more about the exponential decay here:

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Related Questions

How is a ratio table used to graph equivalent ratios?

Answers

Answer:

Ratio tables show equivalent ratios between two quantities. They can help you find equivalent ratios in order to solve problems.

hope this helps:) emoji slammm

Solve the system of equations

Answers

The answer is 2,16. Hope that helps.

HELP HELP HELP HELP FIND THE VALUE OF X

Answers

Answer:

x=9

Step-by-step explanation:

The sum of all three angles inside a triangle is always 180 and the small square in the bottom left corner means that that is a 90 degree angle.

90+5x+5x=180

add the x values together

90+10x=180

subtract 90 from both sides

10x=90

divide both sides by 10

x=9

Mr. and mrs. Brown bought a new kitchen table for $450. It was 75% of the original price. Determine the original price of the kitchen table.

Answers

Answer:

$600

Step-by-step explanation:

To find the original price, divide the cost by 0.75

450/0.75

= 600

So, the original price was $600

Answer: $600

Step by Step explaination:

Divide. Round your answer to the nearest whole number.

Answers

It will be 6609 if rounded to the whole number

A 50 foot ladder is set against the side of a house so that it reaches up 40 feet. If Aisha grabs the ladder at its base and pulls it 9 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 31 ft.) Round to the nearest tenth of a foot.

Answers

Answer: ~31.3

first use the pythagorean theorem. a^2+(40)^2=50^2.

simply. a+1600=2500. subtract 1600 from both sides. a^2=900.

square root both sides to get a= 30

then find how far the top of the ladder is from the ground once in its new position.

a^2+(39)^2=50^2.

simplify. a^2+1512=2500. subtract 1512 from both sides to get a^2=979.

square root both sides to get a=31.288975. round to the nearest tenth to get a=31.3

Answer:

Step-by-step explanation: iT'S 31.3

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Answers

Step-by-step explanation:

11.True

12.False

13.False

14.False

15.True

16.False

17.False

18.True

19.True

20.False

Answer:

here

Step-by-step explanation:

What is the place value of the digit 5 in the number 1,029.756

Answers

Answer:2

Step-by-step explanation:

Answer: Its the tens place, do you not pay attention in school?

Will mark brainliest for area.

Answers

Answer:

c

Step-by-step explanation:

first, find the area of the rectangle thing,

A = lw

14 x 8

112

but, there is a semicircle in it so you need to subtract that from it:

A = πr^2/2

A = π(4)^2/2

A = π16/2

A = 8π

A ≈ 25.132741228718346

then subtract that area from the area of the rectangle:

112 - 25.132741228718346

86.867258771281654

or about 89.9

In training, Kayden does
reps
where
he bench presses 65 kilograms. How
many reps does he have to do to
bench press a total of 1 metric ton?

Answers

Answer:

0.065 metric tons

Step-by-step explanation:

Given

65 kg

To find

Convert 65 kg to metric tons

Then, the answer is 0.065 metric tons

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 40 % salt and Solution B is 90 % salt. She wants to obtain 50 ounces of a mixture that is 80 % salt. How many ounces of each solution should she use?

Answers

Answer:

The scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

Step-by-step explanation:

Since a scientist has two solutions, which she has labeled Solution A and Solution B, each containing salt, and she knows that Solution A is 40% salt and Solution B is 90% salt, and she wants to obtain 50 ounces of a mixture that is 80% salt, to determine how many ounces of each solution should she use the following calculation must be performed:

100 x 0.9 + 0 x 0.4 = 90

90 x 0.9 + 10 x 0.4 = 85

80 x 0.9 + 20 x 0.4 = 80

50 x 0.8 = 40

Therefore, the scientist must use 10 ounces of Solution A and 40 ounces of Solution B.

One hundred volunteers who have agoraphobia (fear of open and crowded space) are available for a study. Fifty are selected at random and are given the drug imipramine, which is believed to be effective in treating agoraphobia. The other 50 are given a placebo. A psychiatrist evaluates the symptoms of all volunteers after two months to determine if there has been substantial improvement in the severity of their symptoms.
What type of study is this?
A. Matched pair design
B. Observational study
C. Completely randomized block design
D. Completely randomized design

Answers

Answer:

D. Completely randomized design

Step-by-step explanation:

Based on the description given about the experiment above and the manner in which the subjects were assigned to each of the treatment groups available, we can deduce that the study was conducted using a completely randomized design. The subjects weren't matched or blocked for any variable such as sex, height, age or any other variable. They were just evenly split randomly into the two available treatment levels ( those who receive the treatment and the placebo) group. With this design, all subjects have an equal chance of being in any of the two groups and the selection bias is almost totally eliminated using this sort of design as errors are being considered as arising from experimental faults.

PLEASE HELP

do question 8 and 9

Answers

Answer:

x=7

x=4

x=1/9

Step-by-step explanation:

For number 9 you can either type out the work or say something like:

To solve all of the problems in Question 8 I had to move all of the terms without an (x) to the right side. After I did this I divided everything by the number attached to the (x) to find the value of (x) by itself.

Answer and Step-by-step explanation:

8a.

3x + 6 = 27

Subtract 6 from both sides.

3x = 21

Divide 3 from both sides.

x = 7

8b.

6x + 3 = 27

Subtract 3 from both sides.

6x = 24

Divide 6 from both sides.

x = 4

8c.

27x + 3 = 6

Subtract 3 from both sides.

27x = 3

Divide 27 from both sides.

x = 3/27

Simplify the fraction

x = 1/9

9.

The above steps are the reasonings for the above answers.

What is $45.79 multiplied by .50 equal

Answers

Answer:

686.85

Step-by-step explanation:

Answer:

$45.79 multiplied by .50 equals 22.895

simplify 2 1/2 times 3/4

Answers

Answer:

[tex] \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} [/tex]

Answer:

15/8

Step-by-step explanation:

2.5/2 = 1.25

1.25/2 = 0.625

2.5 - 0.625 = 1.875

1.875 = 75/40 = 15/8

HELP ASAP! I REALLY NEED IT!

Answers

Answer:

[tex]46 \frac{7}{8} \: cubic \: feet[/tex]

Step-by-step explanation:

[tex]\boxed{volume \: of \: prism = base \: area \: \times height}[/tex]

Base area= length ×width

Let's convert all the mixed numbers into improper fraction for easier calculation.

Width

= 7½

[tex] = \frac{7(2)}{2} + \frac{1}{2} [/tex]

[tex] = \frac{14}{2} + \frac{1}{2} [/tex]

[tex] = \frac{15}{2} ft[/tex]

Height

= 1¼

[tex] = \frac{4}{4} + \frac{1}{4} [/tex]

[tex] = \frac{5}{4} ft[/tex]

Volume of prism

[tex] = 5 \times \frac{15}{2} \times \frac{5}{4} [/tex]

[tex] = \frac{375}{8} [/tex]

[tex] = 46 \frac{7}{8} \: ft {}^{3} [/tex]

8 (6-4x) = 12

equation with parentheses​

Answers

Answer:

x=9/8

Step-by-step explanation:

If there are 7 days in a week, how many days are there in 6 weeks? ​

Answers

Answer:

42

Step-by-step explanation:

Answer: 42

Step-by-step explanation: 7 x 6 = 42

A car can travel 374 kilometers on 34 liters of gasoline. How far can it travel on 35 liters?

Answers

Answer:

385 kilometers

Step-by-step explanation:

Divide 374 by 34 to get the unit price

Then multiply the unit price by 35

Yesterday, there were 30 problems assigned for math homework. Nancy did 10% of them correctly. How many problems did Nancy get wrong?
1.) 5
2.) 10
3.) 20
4.)27​

Answers

Answer:

i dont know if this is right but im pretty sure its 5

Step-by-step explanation:

Answer:

4.) 27

Step-by-step explanation:

Just take 30 and - 10% = 27

Because you are looking for the wrong one so you always have to see how many it was before and how many it was after. Sometimes you can minus the number and then that's the answer you get from minusing

Solve the inequality. 4/5v < 7/15​

Answers

Answer:

v < 7/12

Step-by-step explanation:

55 times 4 and time 3 equals what?

Answers

Answer:

55 times 4 =220

220 times 3 =660

6. What is the area of he trapezoid? Help Please ​

Answers

Answer:

It’s G. 330 m^2

Step-by-step explanation:

The formula for a trapezoid is (a+b)/2 times h.

So a is base one and b is base two and the h is the height.

So it would be like (19+41)/2 X 11 then you would get

60/2 X 11

30 X 11 equals 330

please with the mathematics ​

Answers

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

with like denominators you can just add or subtract freely just the top numerators

Answer:

1.)1/6

2.)1 5/10

3.)2 6/7

4.)2

5.)1 7/12

6.)2 4/5

7.)1/12

Step-by-step explanation:

Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.​

Answers

Answer:

22% probability the student is a junior.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

The table says that:

There are 4 + 6 + 2 + 2 + 3 + 4 + 6 + 6 + 3 = 36 total students.

2 + 6 = 8 are juniors.

If a student is selected at random, find the probability the student is a junior.

8/36 = 0.2222 = 22.22%

Rounding to the nearest whole percent, 22% probability the student is a junior.

Answer:

27%

Step-by-step explanation:

Graph y=-(4)
X PLS HELP

Answers

Answer:

this is a horizontal line which crosses the y-axis at -4

Step-by-step explanation:

g(n) = n - 1
h(n) = n^3- 2
Find (g - h)(3)

Answers

Answer:

jsjshshzyzhshshw

Step-by-step explanation:

7U usual jusjsisj

Find the x and y intercepts of 4x - 5y = 40

Is this correct and can someone explain why??

Answers

Answer:

no, the correct answer is D.

Step-by-step explanation:

for the x-intercept you would first add 5y to both sides giving you 4x=5y+40. then you would divide both sides by 4, so the final equation would be x=5/4y+10.

for the y-intercept you would subtract 4x from both sides, making -5y=-4x+40. then you would divide both sides by -5, making the final equation y=4/5x-8.

-4x+3x<4 what is the awenswer to this equation

Answers

Answer:

X > -4

Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

Please Help i need this done

Answers

Answer:

i think u add 2.5 everytime

Step-by-step explanation:

for example start with(0, 2.5) 0n the graph then add 2.5 to 2.5 then keep adding if im wrong srry

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