a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years

Answers

Answer 1

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r/n)^ nt

Where

A represents the value after t years.

n represents the period for which the decrease in value is calculated

t represents the number of years.

P represents the value population.

r represents rate of decrease.

From the information given,

P = 23000

r = 8% = 8/100 = 0.08

n = 1

Therefore, the exponential decay function described in this situation is

A = 23000(1 - 0.08/n)1)^ 1 × t

A = 23000(0.92)^t

If A = 15000, then

15000 = 23000(0.92)^t

0.92^t = 15000/23000 = 0.6522

Taking log of both sides to base 10

Log 0.92^t = log 0.6522

tlog 0.92 = log 0.6522

- 0.036t = - 0.1856

t = - 0.1856/- 0.036

t = 5 years to the nearest year


Related Questions

I need help on 7 and 8!!!!!Find the diameter of each circle. Use a calculator’s value of Pi. Round your answer to the nearest tenth.

Answers

Answer:

37.6 in

48.2 yd

Step-by-step explanation:

The are of a circle is given as :

Area = pi(d²) /4

Area = 1110.4in²

1110.4 = 3. 14 * d² / 4

1110.4 * 4 = 3.14 * d²

4441.6 = 3.14d²

d² = 4441.6 /3.14

d² = 1413.8051

d = 37.600

d = 37.6

8.)

Area, A = 1824.7yd²

1824.7 = 3. 14 * d² / 4

1824.7 * 4 = 3.14d²

7298.8 = 3.14d²

d² = 7298.8 / 3.14

d² = 2323.2801

d = sqrt(2323.2801)

d = 48.200

Hence, diameter = 48.2 yd

A pair of sneakers cost $40 and there is a 30% markup rate. Find the selling price of the sneakers

Answers

Answer:

52 dollars

Step-by-step explanation:

40 times 1.3= 52

A store buys for 12$ each and marks up the price 25% what's is the price for a shirt at the store?

Answers

Answer:

$15

Step-by-step explanation:

25% of 12 is 3 so just add that to the original value

Answer:

$15

Step-by-step explanation:

Multiply the cost by the percentage mark up

12 × 25%

Convert the percentage into a decimal

12 × 0.25

3

Add the mark up to the original price

12 + 3

15

Edge users, Help! Will give brainliest

Answers

Answer:

You do not need to get right just get one wrong and it will say demo, then keep doing that.

Step-by-step explanation:

12y+15=24-6y ??????????????????

Answers

Answer:y=1/2

Step-by-step explanation:

Algebra 2!!

The equation of the piecewise function f(x) is below. What is the value of f(3)?

Answers

Answer:

5

Step-by-step explanation:

Ask your self which equation you should use. Since it says F(3) then we have to find an equation that would fit this correctly. For example if we look at -X^2, X<-2 we could see that 3 is clearly not less than -2, leading to the conclusion that this is not the right equation.. If you look at the last equation it says that x has to be greater/equal to 0 which is true. So then we are left with the equation...

F(3)=x+2

F(3)=3+2

F(3)=5

What is the measure of 2U?
4
4
70°
O A. 70
O B. 74
O C. Cannot be determined
O D. 66

Answers

Answer:

A. 70°

Step-by-step explanation:

Since, TV = TU = 4

[tex] \therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree[/tex]

Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?

Answers

Sasha because Sasha didn’t run 9 miles

The shaded section of the strip diagram represents the percent of the number of students that get more than 9 hours of sleep each night. Of the students surveyed, 80 get more than 9 hours of sleep each night. How many students were surveyed?

Answers

Answer:

200

Step-by-step explanation:

each square=40

Slope intercept form of 4x+4y=-32

Answers

Answer:

y = - x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x + 4y = - 32 ( subtract 4x from both sides )

4y = - 4x - 32 ( divide all terms by 4 )

y = - x - 8 ← in slope- intercept form

Answer:

x+y=-8

Step-by-step explanation:

-32=4x+4y

-4y=4x+32

y=(4x+32)/-4

y=-x-8

x+y=-8

Now comparing to slope intercept form

y=mx+c,we get

slope =1

y intercept =1

y=-8

) Evaluate the expression for v = 2.
5v + 3 =

Answers

Answer:

13

Step-by-step explanation:

Evaluate the expression for v = 2.

First, plug in 2 wherever v is seen.

5v + 3

5(2) + 3

Next, multiply.

5(2) + 3

10 + 3

Add.

10 + 3

13

Your final answer is 13.

Please let me know if there are any issues with this answer.

Answer:

i think this is algebra

Step-by-step explanation:

The first thing you have to do is open the multiplication parenthesis to substitute V for 2

5v + 3

5 (2) + 3

Now that you have the parenthesis, you multiply and then the result that you add.

5(2) or 5x2= 10 but is better with parenthesis.

10 + 3

=3

I hope this helps.

Which are solutions of the equation (x+5)(x-3)=0

Answers

Answer:-5 and 3

Step-by-step explanation:-5 +5 is 0 and 0 times any number is 0 also 3-3 is 0 and 0 times any number is 0

Phil made a number line showing the multiples of 3/6...

What is the product 2 x 3/6?

Answers

the answer would be 6/6 because they want you to multiply 2 x 3/6

A Sea-doo rental agency charges $100 as a flat rate, and $50 for every hour rented. Complete a table of values for this scenario. Then, draw a graph of this scenario with appropriate labels.

Answers

Answer:

so if it was one hour it would be 100+50

2 hours= 100+100

3=100+ 150

and so on

Step-by-step explanation:

what is a circumference ​

Answers

Answer:

25.13

Step-by-step explanation:

2 pie  multiply radius

2 pie multiply  4

( I think so)

I hope this helps

The quadrilateral shown is a parallelogram. What is m<B?
A) 25°
B)55
C) 65
D) 115 degree​

Answers

The answer is D. 115°

Answer:

The answer is also 115 on USA test prep.

Kelvin ordered four pizzas for a birthday party. The pizzas were cut into eighths. How many slices were there? (Draw a picture to support your response; please)

Answers

Answer:

32 slices are there thankyou

32 slices is the answer

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces. Which statement best describes the faces of the pyramid?
A)one square and three triangles
B)one square and four triangles
C)three squares and one triangle
D)three squares and two triangles

Answers

Answer:

D. One square and four triangles

Step-by-step explanation:

Cece is finding the surface area of a square pyramid by finding the sum of the areas of its faces

Square pyramid has a square base.

each edge of the square base joins at the top of the vertex to make a pyramid

The sides of the pyramid is a triangle

the square has 4 sides, so four triangle on the sides of the pyramid

Hence one square and four triangles forms a square pyramid

Answer:

The answer is A). one square and three triangles

Step-by-step explanation:

If i'm incorrect pleas let me know.

Can you guys help me plz

Answers

Answer:

Step-by-step explanation:

The scale factor is 2

A frequency distribution is a way to describe categorical data categorically.
O A. True
O B. False

Answers

true because Frequency disturbutions Can only be used with categorical data

Answer:

Its true

Step-by-step explanation:

make sure too look at the question you have and if its the same one, so if my answer was wrong for you then its because ur question was different from this one.

original price is $150 markdown is 30% what is the retail price

Answers

Answer:

$105

Step-by-step explanation:

0.30×150=45

150-45=105

40 tickets were sold for a concert, some at 75 cents and the rest at $1.25. if the total raised was $42, how many had the cheaper ticket. please i need this for an assignment​

Answers

Answer:

34

Step-by-step explanation:

$1.25 = 125 cents.

$42 = 4200 cents

Tickets sold at 75 cents = x

Tickets sold at 125 cents = y

x + y = 40

75x + 125y = 4200

Multiply the first equation by 75

75x + 75y = 3000

75x + 125y = 4200

Subtract the the second equation from the first.

75x + 75y = 3000

- 75x + 125y = 4200

-------------------------------

0 - 150y = - 1200

Divide both sides by - 150

-150y/-150 = -1200/-150

y = 8

Substitute y = 8 into the first equation

x + y = 42

x + 8 = 42

x = 42 - 8

x = 34

34 tickets were sold for 75 cents

8 tickets were sold for $1.25

Which graph represents the inequality?

n < -2



Graph A

Graph B

Graph C

Graph D

Answers

Graph C since the dot is open so it’s not equal and it’s -2 is the biggest so the arrow faces that direction

Question 25. A segment of a circle is the portion formed by the sector and 4 points
a triangle,
True
O False​

Answers

I think its false i hope its helps

Answer:

It is false

Step-by-step explanation:

Rahim bought a car for ₹ 4, 35,000, spent ₹ 55,000 on repairs and sold it for ₹ 5, 50,000. What is his profit?

Please answer and thank you
Introduction please

Answers

Answer:

Hello! I am a Percy Jackson fan.

60,000

Step-by-step explanation:

This is because 435000 + 55000 = 490000.

Then, subtract that from 550000.

What's the answer...I'm kinda lost

Answers

A reflection over the x axis means y valuable will be the opposite. C

Answer:

it would be D

Step-by-step explanation:

because you are reflecting the shape across the x axis

please help fast
8 Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
A (-4,-3)
B (-4,3)
C (4, -3)
D (3, 4)

Answers

Answer: D (3,4) trust and believe

brainlyst pls I think I spelt is wrong

Step-by-step explanation:

When a line or shape or point is rotated, it must be rotated around a point.

The image of the point is D. (3,4)

The point is given as:

[tex]\mathbf{(x,y) = (-3,-4)}[/tex]

A 180-degree rotation across the origin is represented as:

[tex]\mathbf{(x,y) \to (-x,-y)}[/tex]

Substitute values for the coordinates of the point (x,y)

[tex]\mathbf{(-3,-4) \to (-(-3),-(-4))}[/tex]

Simplify

[tex]\mathbf{(-3,-4) \to (3,4)}[/tex]

Hence, the image of the point is D. (3,4)

Read more about rotations at:

https://brainly.com/question/15356082

Answer for ( brain list, thanks, 5 star review)

Answers

Answer:

Your answer is 4.99

Step-by-step explanation:

259.48/52 will take some work if you use long division, but eventually you  get your answer of 4.99

How many buckets have one full gallon of water?

Answers

Answer:

four just count the circles above the one

A shirt that normally costs $19.99 is on sale for 15% off. How much does the shirt cost after the discount? $22.99 $19.99 $16.99 $24.50

Answers

Answer:

C. $16.99

Step-by-step explanation:

The shirt cost after the discount will be $16.99. thus option C is correct.

How to calculate the third party discounts?

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

We have been given that a shirt that normally costs $19.99 is on sale for 15% off. we are asked to find the discount on the shirt.

Therefore,

19.99 x 15/100

19.99 x 0.15 = 2.99

Then subtract from the total amount;

19.99 - 2.99 = 16.99

Therefore, the  shirt cost after the discount will be $16.99. thus option C is correct.

Learn more about proceeds here:

https://brainly.com/question/27470570

#SPJ2

Other Questions
help 100 points please FINISH THE LYRICS Look up to God, put my head in the sky Loses after loses, I just wonder why People think I'm trippin' like my shoes untied If it wasn't for the music, would've gave up now Write an equation of an ellipse in standard form with the center at the origin and with the given (1 point)characteristics.vertex at (-3,0) and co-vertex at (0, 2) What type of figurative langauge is that quote?A. simileB. alliterationC. metaphorD. irony For each genotype below indicate whether it is het3rozygous or hom0zygous. Question 21 of 25Which of the following best describes an Arrhenius acid-base reaction?O A. Acid + base = H+ + OH-B. Acid + base = salt + waterC. Acid + base = conjugate base + conjugate acidD. Acid + base =H20 HOW IS THE REFLECTION FROM A STILL WATER DIFFERENT FROM THEREFLECTION FROM A BARK OF A TREE? What risks did traders face on the Silk Road? Choose four correct answers.wild animalsarmed banditsnot enough guidesmean pack animalslack of food and waterdangerous terrain and weather What is the least, greatest, median, lower Q, and upper Q for the CHECKERS CLUB?Least:Greatest:Median:Lower Q:Upper Q: what is fermentation 4/3 (3x-12)=2x+8 what is x Pls hyelp. Me needs hyelp palease . Preciate it. Hehehehehehehehehe Flag this QuestionThe formation of male and female sex cells is known asA)gametogenesisB)buddingC)sporulationD)regeneration What is the absolute value of -8.2 AFTER allowing 4 % discount on the marked price of an article there is a profit of 20 % if the cost price of the article is RS 800 find marked price ? plz plz plz plz plz saw plz "At least I have acceded to the importunities of my friends, and have hastily sketched some of the striking incidents that go to make up my history. My life, so full of romance, may sound like a dream to the matter-of-fact reader, nevertheless everything I have written is strictly true..." What is the meaning of the word as used in the sentence above 'striking"? A. to remeber B. dramtic thrilling in efect C. make belive Alexis is making goodie bags for her birthday party. She has made 12 bags already.If this is 60% of the total number of goodie bags that Alexis has to make, how manytotal goodie bags does Alexis need to make for her party? Select the structure that correspondsto the name:3,5,6-trichloro-2-heptanol rename this mix fraction 3 1/2 A right cone has a slant height of 6 and a radius of 4. What is its surfacearea?A. 40 units^2B. 56 units^2C. 24 units^2D. 16 units^2