A new car is purchased for 24000 dollars. The value of the car depreciates at 15% per year. To the nearest tenth of a year, how long will it be until the value of the car is 10000 dollars

Answers

Answer 1

The value of the car will be $10000 after 2.5 years

The cost price of the car = $24000

Rate of depreciation, r = 15%

r  =  15/100

r  =  0.15

The final value of the car after depreciation, A = $10000

To get the time for depreciation, use the formula below and solve for t

[tex]A=P(1-r)^t[/tex]

Substitute P = 24000, A = 10000, and r = 0.15 into the equation above

[tex]10000=15000(1-0.15)^t\\\\\frac{10000}{15000} = 0.85^t\\\\0.85^t=0.67\\\\t (ln0.85)=ln0.67\\\\-0.163t=-0.4\\\\t=\frac{-0.4}{-0.163} \\\\t=2.5[/tex]

The value of the car will be $10000 after 2.5 years

Learn more here: https://brainly.com/question/16678480


Related Questions

Someone please help me

Answers

Answer:

hi buddy

the answer is a if we divide both with equation 4 then you can get the answer

hope it likes you.....

please mark brainlist

The answer is C u do Parentheses first

The simplified form of 3root45 - root 125 + root 500

Answers

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)

Answers

Answer:

No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.

Answer:

Oh yeah...

Step-by-step explanation:

Arthur is bullying my house.......

(Brainliest?)

Find the area of the following trapezoid

Answers

The formula to calculate the area of a trapezoid is as follow:

4 * (8 + 16) * 1/2

Answer:

trapezoid area :(a+b)/2 ×h

(16+ 8)/2 ×4

=48

Find the three positive geometric means between 3 and 48/625

A. 9/5, 27/25, 81/125

B. 6/5, 12/25, 24/125

C. 3/5, 3/25, 3/125

D. 1, 1/3, 1/9

Answers

Answer:

B. 6/5, 12/25, 24/125

Step-by-step explanation:

Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:

3, x, y, z, 48/625

Using the nth term of a geometric sequence to find the missing term.

[tex]Tn = ar^{n-1}[/tex] where:

a is the first term

n is the number of terms and

r is the common ratio

From the sequence, a = 3

[tex]T5 = 3r^{5-1} \\T5 = 3r^{4}[/tex]

Since the fifth term is 48/625 then:

[tex]3r^{4}=\frac{48}{625} \\r^{4}= \frac{48}{625*3} \\r^{4} = \frac{16}{625} \\r=\sqrt[4]{\frac{16}{625} } \\r = \frac{2}{5}[/tex]

To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.

[tex]T2 = 3(\frac{2}{5} )^{2-1}\\ T2 = 3*2/5\\T2 = 6/5[/tex]

when n = 3;

[tex]T3 = 3(\frac{2}{5} )^{3-1}\\ T3 = 3*(\frac{2}{5} )^{2} \\T3= 3*4/25\\T3 = 12/25[/tex]

when n = 4;

[tex]T4 = 3(\frac{2}{5} )^{4-1}\\ T4 = 3*(\frac{2}{5} )^{3} \\T4= 3*8/125\\T4 = 24/125[/tex]

The three positive geometric mean are 6/5, 12/25, 24/125

Answer:

A

Step-by-step explanation:

What is the solution of this equation?
-1y = -4

Answers

Answer:

y = 4

Step-by-step explanation:

-1y = -4

Divide both sides by -1 to get y by itself.

-1/-1 = -4/-1

y = 4

It's positive because there are two negatives, which mean they cancel out.

13th term of 2, 10, 18, 26

Answers

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term

Write and solve an inequality to calculate the swimming rate of a manatee swims for 15 miles in 3 hours

Answers

Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

Question 2 of 10
2 Points
What is the location of the point on the number line that is of the way from
A = 37 to B = 13?
A 19
B. 28
C. 31
D. 25

Answers

Answer:

31

Step-by-step explanation:


Which expressions are equivalent to
x+x+x+2?

Answers

Answer:

3x + 2

Step-by-step explanation:

x = 1x but leaving the x alone equals the exact thing.

If there are x + x + x, this means 3x since it is also

1x + 1x + 1x.

This is another expression for 3x + 2.

The anwser to this question is 3x+2

last week caroline worked 8 hours each day and she worked 5 days that week she earned $440 pounds so per hour she earned £11
this week she is going to work 7 hours each day for 4 days

work out the percent reduction

Answers

Answer:

30%

Step-by-step explanation:

this week:

4 × 7 = 28 hours

earns: 28 × 11 = £308

reduction: 440 - 308 = 132

% reduction

132/440 × 100

30%

1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft

Answers

Answer:

192[tex]feet^3[/tex]

Step-by-step explanation:

The formula for the area of a rectangle is : [tex]length*width[/tex]

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

[tex]6*4=24[/tex]

2) Multiply 24 by 8.

[tex]24*8=192 feet^3[/tex]

The area of a garden is 30 square feet. The perimeter is 26 feet. What are the measurements of each side?

Please help this question is fustrating

Answers

Answer: 3 feet by 10 feet rectangle

===========================================================

Explanation:

Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.

perimeter of rectangle = 2*(length+width)

P = 2*(L+W)

26 = 2(L+W) ... plug in given perimeter

26/2 = L+W .... divide both sides by 2

13 = L+W

13-W = L  .... isolate L by subtracting W from both sides

L = 13-W

------

Area of rectangle = Length*Width

A = L*W

A = (13-W)W .... replace L with 13-W

A = W(13-W)

A = 13W - W^2 ..... distribution

30 = 13W - W^2 .... plug in given area A = 30

W^2 - 13W + 30 = 0 ... get everything to one side

(W - 10)(W - 3) = 0 ...... factor

W-10 = 0 or W-3 = 0 ...... zero product property

W = 10 or W = 3

----------

If the width is W = 10, then

L = 13-W

L = 13-10

L = 3 is the length

Or if the width is W = 3, then

L = 13-W

L = 13-3

L = 10 is the length

Either way, this is a 3 ft by 10 ft rectangle

--------

Check:

Area = length*width = 10*3 = 30 square feet

perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet

or you could say

perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet

we get the correct area and perimeter, so this confirms our answer.

Unit 5. 4) Please help. Marcie purchases a helium tank that contains 7.9 cubic feet of helium. Marcie is making a balloon display that contains 15 spherical balloons with a one-foot diameter. Will the helium tank provide enough helium for the display? Why or why not?

Use 3.14 for π in your calculations. Round your answer to the nearest tenth if necessary.

Answers

Answer:

The correct answer is option c.

Graph the equation of the line y=3x+4 and use it for your reference to find: Quadrants in which this graph is in. (Use the numbers 1−4)

Answers

Answer:

Quadrants: 1, 3, 4. (See explanation for further details)

Step-by-step explanation:

The graphic of the linear function is included below as attachment. The line covers the following quadrants: 1, 3, 4

Answer:

1, 2, 3

Step-by-step explanation:

Find the probability.

6) A cooler contains twelve bottles of sportsdrink: three lemon-lime flavored, fourorange flavored, and five fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. Both times you get alemon-lime drink.

7) You select two cards from a standardshuffled deck of 52 cards. Both selectedcards are diamonds. (Note that 13 of the 52cards are diamonds.)

Answers

Answer:

The Probability of getting lemon drink on both draws  is 1/16

The Probability of getting diamond on both cards is 1/17

Step-by-step explanation:

1)

No. of lemon-lime flavored bottle = 3

No. of orange flavored bottle = 4

No. of fruit punch flavored bottle = 5

Total bottles = 12

We are given that  You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.

Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]

So, The Probability of getting lemon drink on both draws  is 1/16

2)

No. of diamond cards = 13

Total cards =52

Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]

Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]

Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]

So, The Probability of getting diamond on both cards is 1/17

Please answer me<br />bis two fifths of c.<br />4a = 30<br />Work out the ratio a:b:c<br />Give your answer in its simplest form where a, b and c are integers.​

Answers

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

Find the value of the variable in each pair of similar figures. Round the answers to the nearest tenth. please help!!!!​

Answers

Answer:

x = 18 units

w = 20 units

n = 6.9 units

Step-by-step explanation:

Given: Similar figures

To find: value of the variable in each pair of similar figures

Solution:

Figures are said to be similar if they have same shape and not necessarily same size.

Corresponding sides of similar figures are always proportional.

[tex]ABCD\sim JKLM\\\frac{AB}{JK}=\frac{AD}{JM}\\\frac{12}{x}=\frac{6}{9}\\x=\frac{12\times 3}{6}=18\,\,units[/tex]

[tex]\Delta NOP\sim \Delta XYZ\\\frac{XZ}{NP}=\frac{YZ}{OP}\\\frac{12}{3}=\frac{w}{5}\\w=\frac{12\times 5}{3}=20\,\,units[/tex]

[tex]\Delta GHI\sim \Delta PQR\\\frac{GI}{PR}=\frac{GH}{PQ}\\\frac{3}{n}=\frac{7}{16}\\n=\frac{3\times 16}{7}=\frac{48}{7}=6.9\,\,units[/tex]

PLEASE ANSWER THIS ASAP

Answers

Answer:

i really dont know

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The slope (rate of change) are 2/5 or .4 for both of them

Solve the right triangle. Round decimal answers to the nearest tenth.
С
12
B
9
A
AB=
m M I need help

Answers

Answer:

15

Step-by-step explanation:

Use the Pytago theorem.

AB^2=AC^2+BC^2

AB^2= 9^2 + 12^2

= 225

AB = [tex]\sqrt225}[/tex]

= 15

Please help me I’m about to break down

Answers

Answer:

the answer would be <RSV &<TSV

Answer:

RSV and TSV

Step-by-step explanation:

Supplementary angles are those that add to 180 degrees

RSV and TSV form a straight line so they add to 180

They are complementary angles

“Help me get my feet back on the ground”

Answers

Answer:

Angle 2

Step-by-step explanation:

Remember the X, whatever is opposite to the given angle.

Answer:

angle 2 is the answer my dude

Step-by-step explanation:

What is 1/2 multiplied -3/4

Answers

Answer:

the answer is -3/8

hope this helps

You are going to buy a pizza, and have 3 options. The first option is a rectangular pizza that is 8 inches by 16 inches. The second option is a circular pizza that has a diameter of 10 inches. The third option is a pizza in
the shape of a triangle, with a base of 14 inches, and a height of 10 inches.
Which pizza is the largest? (You must give the area of each pizza to
receive credit)
*

Answers

Answer:

The largest pizza is Rectangular Pizza .

Step-by-step explanation:

In order to know which pizza is the largest you have to find the area for each shape using the formulas :

Rectangular pizza,

[tex]area = length \times width[/tex]

Let length = 8 inches,

Let width = 16 inches,

[tex]area = 8 \times 16[/tex]

[tex]area = 128 \: \: {inches}^{2} [/tex]

Circular pizza,

[tex]area = \pi \times {r}^{2} [/tex]

Let r = 5 inches,

[tex]area = \pi \times {5}^{2} [/tex]

[tex]area = 25\pi[/tex]

[tex]area = 78.5 \: \: {inches}^{2} [/tex]

Triangular pizza,

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 14 inches,

Let height = 10 inches,

[tex]area = \frac{1}{2} \times 14 \times 10[/tex]

[tex]area = \frac{1}{2} \times 140[/tex]

[tex]area = 70 \: \: {inches}^{2} [/tex]

What is the value of x in the equation

1/3x - 1/2 = 18 1/2

a. 6
b. 15
c. 54
d. 57
PLEASE HURRY I NEED HELP

Answers

1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)

what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)​

Answers

Answer:

The slope is 3

Step-by-step explanation:

The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)

The slope of the line given is 3.

What is a slope of a line?

Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Given is a line passing through points (-2, -3) (-4, -9)​, we need to find its slope,

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-

y₂-y₁ / x₂-x₁

Here, (x₁, y₁) and (x₂, y₂)  are (-2, -3) (-4, -9)​

So, the slope is = -9+3 / -4+2 = -6 / -2 = 3

Hence, the slope of the line given is 3.

Learn more about slopes, click;

https://brainly.com/question/3605446

#SPJ7

can someone helpme please​

Answers

Answer: the first box is 1/5 since one of 5 squares are shaded.

The next box the answer is “there are 4 groups 1/5.

The next answer is 4/5

The last answer is 4/5

Step-by-step explanation:

PLZ HELP ME I DON'T WANNA FAIL THIS

Answers

Answer

Step-by-step explanation:

sentence 3 does not use a correct verb.

What is the image point of (3,-8) after a translation left 2 units and up 5 units?

Answers

The new image point will be at (1,-3)

3x+2y=12+y 4y-7x=10 solve

Answers

Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6

Other Questions
A grocery store has an average sales of $8000 per day. The store introduced several advertising campaigns in order to increase sales. To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 64 days of sales was selected. It was found that the average was $8300 per day. From past information, it is known that the standard deviation of the population is $1200. The p-value is Whats the correct answer for this? Suppose that 2x^2 - 5x + k = 0 is a quadratic equation with one solution for x. Express k as a common fraction.Thanks for helping in advance! The most avant-garde aspect of Kandinsky's art is that it is? Where do babys come from? 3. Energy policy has been a major focus for the U.S. government for some decades now. Usethe grid below to tell of three sources of energy that are used as alternatives to petroleum inthe 21st century. Also comment on the issues connected with these new sources of energy(10 pts)A. Solar:B. Nuclear:C. Wind: Question 16 (1 point)A car depreciates at a rate of 6%. Lisa purchased a car for $23,000. Using theappropriate decay factor how much should it be worth 10 years after Lisapurchased it? sucer ma chatte putain In roughly what year did Europeans settle in Southeast Asia? * What is the length of the missing side?6 ft7 ft Calculate the area of this figure below The teacher made a 0.5M solution. How is this number read/said? You are the Police Officer...You are dispatched to 123 Main Street in reference to a disturbance. Upon arrival you make contact with John Doe. John invites you inside and begins to advise that he is having an argument with his roommate Jane because she has not contributed to paying her portion of the rent for the month. While you are standing inside by the front door, you observe a small baggie of what appears to be marijuana on the coffee table and a bong in front of where John is sitting.Based on this scenario. Do you have probable cause for an arrest? Who would you arrest? And what are the charges, if any? I dont understand this question. Can anyone help? I need answers ASAP. Thanks for all the help The radius of a circle is 3 cm. Find its area to the nearest tenth. 1.4.2 Suppose a car dealership offers a low interest rate and a longer payoff period to customers or a high interest rate and a shorter payoff period to customers, and most customers choose the low interest rate and longer payoff period, does that mean that most customers want a lower interest rate? Explain. What is the denotation of the word "strong" in this context?O powerfulO muscularO courageousO skilled How does Eisenhower describe his reaction to seeing the concentration camps toward the end of the war ? What was a "fireside chat" aWhen president Hoover used the Television for the first time to talk to the American people. bWhen FDR used the radio to speak to the American people. cWhen president Wilson talked to the Germans during WWI while sitting around a camp fire dWhen poor people during the Depression had to sit around camp fires to stay warm. When their little girl turned 5