A new car is purchased for 23900 dollars. The value of the car depreciates at 9.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 6000 dollars?

Answers

Answer 1

9514 1404 393

Answer:

  14.2 years

Step-by-step explanation:

The value is described by the exponential function ...

  y = (initial value)·(decay factor)^x

where y is the value after x years.

The decay factor is (1 - annual depreciation) = 1 - 0.0925 = 0.9075, so we want to find x when ...

  6000 = 23900·0.9075^x

  6000/23900 = 0.9075^x . . . . . . . . . . . . . . divide by 23900

  log(6000/23900) = x·log(0.9075) . . . . . . . take logarithms

  x = log(6000/23900)/log(0.9075) ≈ 14.2396

It will be about 14.2 years until the value of the car is $6000.

A New Car Is Purchased For 23900 Dollars. The Value Of The Car Depreciates At 9.25% Per Year. To The
Answer 2

Answer:

14.2

Step-by-step explanation:


Related Questions

State if the triangles in each pair are similar. If so, complete the similarity statement.

Answers

Answer:

B

Step-by-step explanation:

Set up a proportion and see if it is true:

[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]

True, so they are similar.

The similarity statement would be QRS ~ QED

So B is the answer

5x+8 = 18
Please answer fast​

Answers

Answer:

5x + 8 = 18

5x = 18 - 8

5x = 10 (divide both sides by 5 to get x)

5x/5 = 10/5

x = 2

Step-by-step explanation:

also can i get brainliest

Which of the following statements about the image below is true

Answers

Answer:

It is answer 3

Step-by-step explanation:

Your friend uses 2 1/2 ounds of dried fruit and 1/2 pound of raisins to make trail mix.How many 1/2 pound packages can he make.

Answers

Answer:

he can make 6 because 2 and 1/2 plus 1/2 = 3 and 3 divided by 2 is 6

Step-by-step explanation:

Helpppppp please look at the picture i added

Answers

just shade in one box as 1/2 divide by 5 is 1/10

what is the value of x and y?

Answers

Answer:

The right answer is x = 8, y = 40.

Step-by-step explanation:

Since this triangle is isosceles we know that...

∠ACB = ∠ABC

40° = (5x)°

40 = 5x

x = 40 / 5

x = 8

We also know that the sum of all angles inside the triangle is equal to 180°, therefore...

∠BAC = 180° - ∠ACB - ∠ABC

(2y + 20)° = 180° - 40° - 40°

2y + 20 = 100

2y = 100 - 20

2y = 80

y = 80 / 2

y = 40

From this, we know that the right answer is x = 8, y = 40.

What is the area of a circle if the diameter is 9cm?
Round to the nearest hundredth (0.01cm2)

Answers

Answer: A≈63.62

Step-by-step explanation:

9/2= 4.5

A=πr2=π·4.52≈63.61725

Answer:

To find the area of a circle we have [tex]\pir^{2}[/tex] and the radius is half of the diameter so we have 4.5² which gives 16.25π

6 more than the product of 22

Answers

132 you supposed to multiply

Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.

y+2=3 (x-6)

Answers

Answer:

Step-by-step explanation:

It x=2

Which data set could be represented by the box plot shown below?

Answers

Answer:

The answer is C

Step-by-step explanation:

It starts at 25 and then it stops at 38.

I hope this helps!

Answer:

hi

Step-by-step explanation:

find the simple interest principle 950 interest rate 12% time 4 years

Answers

Answer:

A= $1406

Step-by-step explanation:

The formula for simple interest is A=P(1+rt), where P=Principal, R=Rate, and T=Time. Before you plug your numbers into your formula, you must first convert 12% to a decimal (This is simple because all you have to do is divide 12 by 100.)- 0.12.

Now, you can plug your numbers into the formula: A=950(1+0.12x4). To make this less complex, I suggest working in the parenthesis first- specifically simplifying rt, or multiplying 0.12 by 4 (you should get 0.48)! Now, you are just about ready to go. A=950(1+0.48)- You can plug this into your calculator as is, or you can go on ahead and add the numbers in the parenthesis if that makes you feel better! (You should get 1.48).

Your final formula should be 950(1.48), and you should plug this into a TEACHER-APPROVED CALCULATOR to save time!

Your final answer should be $1406, otherwise you did something wrong! XD!

(I need help ) the graph shows the relationship between the
number of cubic yards of soil ordered and the
total cost of the soil delivered.

Answers

Answer:

80/320

Step-by-step explanation:

answer is given

Find two integers whose sum is -14 and product is 33

Answers

Answer:

Step-by-step explanation:

a+b=-14

a=-14-b

ab=33, using a from above makes this become

(-14-b)b=33

-14b-b^2=33

b^2+14b+33=0

(b+11)(b+3)=0

So the numbers are -3 and -11

Division in a given ratio
In a class of 30 pupils the ratio of the number of boys to the number of girls is 7 : 8. How many girls are there?​

Answers

Step-by-step explanation:

let the ratio 7:8 be 7x and 8x.

now

7x+8x=30

or, 15x=30

or, x= 30/ 15

or, x= 2

here

no. of boys = 7x= 7*2 = 14

no. of girls= 8x = 8*2= 16

hope this helps u...

Answer:

16 girls

Step-by-step explanation:

sum the parts of the ratio, 7 + 8 = 15 parts

Divide the number of pupils by 15 to find the value of one part of the ratio.

30 ÷ 15 = 2 pupils ← value of 1 part of the ratio, then

8 parts = 8 × 2 = 16 ← number of girls

What is the exact area of a circle with a radius of 12 feet? 24π Square Feet 36π Square Feet 121π Square Feet 144π Square Feet Question 2. What is the approximate area of the circle? Use π = 3.14 (the circle has 10.4 inside it) 32.7 square centimeters 65.2 square centimeters 108.2 square centimeters 339.6 square centimeters Question 3. What is the approximate area of a circle with a radius of 28 centimeters? Use π = 3.14 87.9 square centimeters 175.8 square centimeters 2461.8 square centimeters 4923.5 square centimeters Question 4. What is the approximate area of a circle with a diameter of 50 centimeters? Use π = 3.14 87.9 square centimeters 379.9 square centimeters 1962.5 square centimeters 4923.5 square centimeters

Answers

Answer:

144πfeets² ; 339.6 cm² ; 2461.8 cm² ; 1962.5 square centimeters

Step-by-step explanation:

Area of a circle, A = πr²

1.)

with a Radius of 12 feets

A = π * 12² = 144πfeets²

2.)

Approximate area :

3.14 * 10.4² = 339.6224 feet²

3.)

with a Radius of 28 cm

A = 3.14 * 28² = 2461.76cm²= 2461.8 cm²

4.

Diameter = 50 cm ; Radius = 50/2 = 25

with a Radius of 25 centimeter

A = 3.14 * 25² = 1962.5 cm²

62x+4=33x×2x+8 please solve it​

Answers

The answer is 74 i think so

find the value of x in a triangle. x-20, x+10, x-20

Answers

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

x-40°+x-20°+½x-10° = 180°

2x+½x -60°-10° = 180°

5/2 x - 70° = 180°

5/2 x = 180° + 70°

5/2 x = 250°

x = 250° × 2/5

x = 50° × 2

x = 100°

So the angles are

x-40° = 100°-40° = 60°

x-20° = 100°–20° = 80°

½x-10° = ½(100)° - 10° = 50° -10° = 40°

The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

60° + 80° + 40° = 100° + 80° = 180°

A father is 28 years older than his daughter. In six years' time, he will be three times her age. Find their present ages.

Please use an algebraic equation to find the answer and show your working out if possible!!

Answers

Answer:

8 and 36

Step-by-step explanation:

let the daughter's age be x then father is x + 28

In 6 years their ages are

x + 6 and x + 28 + 6 = x + 34

Father is 3 times her age , then equation is

x + 34 = 3(x + 6) ← distribute

x + 34 = 3x + 18 ( subtract x from both sides )

34 = 2x + 18 ( subtract 18 from both sides )

16 = 2x ( divide both sides by 2 )

8 = x

Daughter's age is 8 and father's age is 8 + 28 = 36

Find the volume of a right circular cone that has a height of 7.5 m and a base with a
radius of 14.7 m. Round your answer to the nearest tenth of a cubic meter.

Answers

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

Answer:

1697.2 <3

i got it right

At the most recent dance ASB sold 143 tickets and collected $1470 of students sold for $10.00 and teachers tickets sold for $15.00 how many teachers attended the dance

Answers

Answer:

8

Step-by-step explanation:

1470 = 10s+15t

143 = s+t

1470 = 10(143-t)+15t

40 = 5t

8 = t

You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?

Answers

Answer:

$24272.62

Step-by-step explanation:

Given data

Principal= $10,000

Rate= 3%

Time = 30 years

The expression for the compound interest is given as

A= P(1+r)^t

Substitute

A=10000(1+0.03)^30

A=10000(1.03)^30

A=10000*2.4272

A= 24272.62

Hence the final Amount A=$24272.62

Find the cosine of angle E.
A) 39/80
B) 39/89
C) 80/39
D) 80/89

Answers

Answer:

B) 39/89

Step-by-step explanation:

With reference angle E

hypotenuse (h) = 89

base (b) = 39

cosine angle E

= b /h

= 39/89

ASAP PLEAE HELP
I WILL GIVE BRAINEST

FIND THE INDICATED MISSING ANGLE MEASURE.
ROUND THE ANGLE MEASURE TO THE NEAREST WHOLE DEGREE.

Answers

Answer:

21.801

Good luck

The sum of − , − − is

Answers

What are the numbers?

which one of the following is a factor of a²+bc+ab+ac?​

Answers

a² + bc + ab + ac

a (a+b) + c (b + a)

(a+b) ( a+c)

How did you compute sums of dollar amounts that were not whole numbers?

Answers

Answer:

$7.34

Step-by-step explanation:

To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

Sum initial whole + whole of sum of decimal

$6 + $1 = $7

Remaining decimal : $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

what is the area of the trapezoid?​

Answers

Answer:

A=a+b

2h=10+20

2·6=90

Step-by-step explanation:

HAVE A GREAT DAY

a. What is the circumference of the
largest circle that can be cut from a
square measuring 30 cm on a side?
Use 3.14 for T.


b. What percent of the perimeter of the
square is the circumference of the
circle?

Answers

Answer:

Step-by-step explanation:

a. The diameter of the circle will be 30 cm

So circumference is 3.14 * 30  = 94.2 cm.

b. Required percentage = (94.2) * 100 / (4*30)

= 78.5%.

Ten friends shared a bag of popcorn. Using p to represent the bag of popcorn, which expression represents the amount each friend received? *
1 point
p / 10
10 - p
10p
10 + p

Answers

It’s the first choice

GIVING BRAINLIEST!!!! Please help :(

Select the statement that describes this expression: (10 − 3) x 4 + 5.

A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3

Answers

The answer is C) Multiply 4 by the difference of 10 and 3, then add 5
Other Questions
The sides of a rectangle are in the ratio of 6:5. The perimeter is132cm. What is the length of the longest side?Help please. Please help! Shes going to call on me and Im not sure what to say! XD Write a division expression for the fraction, 9/13 There are 568 kiloliters of soup in a pot. How many liters of liquid did the chef use for this recipe? .568 L5.68 L568,000 L5,680 LHELLLP 7 Select the correct answer. A scientist is trying to predict the reglors of the world most likely to see a decrease in natural resources from population changes. Based on the evidence in the graph, what should the scientist conclude? A system of inequalities is shown below.y < -12x - y < 2In which quadrants is the solution set of the system? Solve this system of equations:y = x - 4y = 6x - 9Show your work in the text box below.also Write your answer as an ordered pair. Bombardier beetles release a burst of hot chemical spray with a popping sound. The chemical is sprayed from a structure present under the belly of the beetles.Which is the likely advantage of such a behavior?It allows the beetles to attract mates.It allows the beetles to move obstacles out of their paths.It allows the beetles to escape from predators.It allows the beetles to stay warm in cold conditions. When rounding to the nearest hundred thousand what is the greatest whole number that rounds to 400,000 My little sister is always late. She is HOPELESSLY slow at getting ready. The CAPITALIZED word is an adverb or adjective Help me with this!! Will mark Brainliest!!! Drag each item to show if it is matter or not matter.light bulb added tosunlightheatlampmatterlight bulbnot matter Hey! I was wondering how to get the solution to this question!A solution was prepared by dissolving 0.541 g of benzoic acid (HC6H5COO) in 100 mL ofwater. The pH was measured to be 2.78. What is the Ka for benzoic acid? A business school is conducting a study to investigate whether a students scores on a placement test can be used to predict students starting salaries. Based on a random sample of 200 graduates of the business school, a 98 percent confidence interval for the slope of the linear regression line relating placement scores and starting salary is calculated to be (315,336). Assume the conditions for inference are met.Which of the following is a correct interpretation of the confidence interval?a. There is a 98 percent probability that the slope of the population regression line is between $315 per point and $336 per point. b. Ninety-eight percent of the time, a 10-point increase in placement score will result in an average increase between $3,150 and $3,360 in starting salary. c. We are 98 percent confident that a 10-point increase in placement score will result in a predicted increase in starting salary of between $3,150 and $3,360. d. We are 98 percent confident that predicted starting salaries will be between $315,000 and $336,000. e. We are 98 percent confident that the regression equation can be used to make accurate predictions for placement scores between 315 and 336. Which would increase the speed of a sound wave? Jason bought 3 shirts for $24.99 each . How much did he spend on shirts Evaluate: x + (x2 - xy) - yif x = 5 and y = 4 Help Plzzzzzzz!!!!!!! 20PTS and Brainliest!!!!!What were the effects of the many alliances that crossed Europe? Complete each sentence with the appropriate form of the adjective.1. Nous parlons avec nos amies (algrien).2. Vous tes une tudiante (poli).3. Les professeurs de franais sont (intressant).4. C'est une actrice sommes (mexicain).5. Il y a trois tudiantes (anglais) l'universit.6. Sophie et Annabelle ne sont pas (patient).7. C'est un copain trs (sociable).8. Nous sommes au caf avec des amis (sngalais).9. Il adore la cuisine (espagnol).10. Il y a des tudiants (sympathique) ici.11. C'est une musicienne (timide).12. Il aime la musique (franais). does anybody have social media and could help me with my homework ? i will send you pictures of my work please all of my work is due tomorrow!! i need help