Type the correct answer in the box. Use numerals instead of words. Tony bought a new car at a cost of $20,000. The value of the car decreases by approximately 12% each year. Formulate the equation that gives the value, A(+), of the car xyears since Tony bought the car. A(t)-​

Type The Correct Answer In The Box. Use Numerals Instead Of Words. Tony Bought A New Car At A Cost Of

Answers

Answer 1

9514 1404 393

Answer:

  A(x) = 20000(0.88)^x

Step-by-step explanation:

The general form of these exponential equations is ...

  A(x) = a·b^x

where 'a' is the initial value, and b is the annual growth factor. x is the elapsed time in years.

The growth factor is ...

  growth factor = 1 + growth rate

Here, the growth rate per year is -12%, so the growth factor is ...

  b = 1 -12% = 88% = 0.88

Of course, the initial value is a=20,000, so the equation is ...

  A(x) = 20000(0.88)^x


Related Questions

John is a quarterback. This year, he completed 350 passes, which is 70, percent of all the passes he's attempted this year.
How many passes has John attempted this year?

Answers

Answer:

John attempted 500 passes this year

Step-by-step explanation:

To sum up the question, it is basically asking what number has 350 as 70% of it.

We know that:

350 is 70% of some number.

Convert 70% to fraction:

70% = 7/10

Divide:

350 ÷ 7/10 = 500

So 350 is 70% of 500

CHECK THE ANSWER:

10% of 500 is 50

To find 70% of 500, multiply:

50 x 7 = 350

I really hope this helps! Please ask me in case you’re confused.

Which expression is equivalent to
3V64k^12

Answers

Answer:

I think the answer is C

Step-by-step explanation:

if y=8, evaluate the following expression: 40-5y​

Answers

0
Explanation:
y = 8

40 - 5 x 8
40 - 40
= 0

Have a nice day

A comet travels at an average speed of 273,000 km/h.
It takes 8 days for the comet to reach Earth.
Find the distance, in km, the comet travelled

Answers

Answer: 52,416,000 km

Step-by-step explanation:

If a comet travels 273,000 km/hr

1) Multiply 273,000 km by 24 hours to find how far the comet travels in one day

2) multiply the answer from 1 by 8 to determine how far it travels in 8 days

1) [tex]\frac{273,000 km}{hr}[/tex]*[tex]\frac{24 hr}{1 day}[/tex] = [tex]\frac{6,552,000km}{day}[/tex] (hours cancel out)

2)[tex]\frac{6,552,000km}{day}[/tex]*8 day= 52,416,000 km in 8 days

The comet approximately travelled 52,416,000km from when it began to travel to when it reached Earth. Hope this helped :)

Please please help me I’ve tried soooo many times

Answers

value of u = 2

Hope it helps you...

Answer:

u = 2

Step-by-step explanation:

6u + 7 = 29 - 5u

6u + 5u + 7 = 29 - 5u + 5u

11u + 7 = 29

11u + 7 - 7 = 29 - 7

11u = 22

11u ÷ 11 = 22 ÷ 11

u = 2

Slope is -1 and (3,2) is on the line

Answers

Y=Mx + c

Y=-x + c

To find c we replace the given points

2=-(3)+c

C=5

Final answer:

Y= -x+5

In grade 6, there are 40 students. There are 8 girls, find the percentage of the boys?

Answers

40 - 8 = 32
Therefore, there are 32 boys

(32/40)*100 = 80

Therefore, percentage of boys = 80%

Answer:

[tex]40 - 8 = 32 \\ \frac{32}{40} \times 100 \\ = 80\%[/tex]

I need to find the value of x?

Answers

Answer:

x=20

Step-by-step explanation:

120=6x

120/6=6x/6

20=x

12. The bus left at 9.30 a.m and
reached Their destination at 1.00 p.m. How long did
the bus take to reach their destination?

Answers

Answer:

3.5 hours

Step-by-step explanation:

1300 - 0930 = 330 = 3.5 hours

cho tứ giác lồi ABCD và điểm S không thuộc mặt phẳng(ABCD). có bao nhiêu mặt phẳng qua S và hai trong số bốn điểmA B C D

Answers

Step-by-step explanation:

Có 7 mặt phẳng

5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)

Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880. What is the probability that the sample mean would differ from the population mean by less than 778 miles in a sample of 143 tires if the manager is correct

Answers

Answer:

[tex]P(x < -778) = 0[/tex]

Step-by-step explanation:

Given

[tex]\bar x = 48673[/tex]

[tex]\sigma^2 = 11282880[/tex]

[tex]n = 143[/tex]

Required

[tex]P(x <- 778)[/tex]

First, we calculate the z score

[tex]z = \frac{x}{\sqrt{\sigma^2}/n}[/tex]

So, we have:

[tex]z = \frac{-778}{\sqrt{11282880}/143}[/tex]

[tex]z = \frac{-778}{3359.0/143}[/tex]

[tex]z = \frac{-778}{23.49}[/tex]

[tex]z = -33.12[/tex]

So:

[tex]P(x < -778) = P(z < -33.12)[/tex]

From z score probability, we have:

[tex]P(x < -778) = 0[/tex]

Polygon ABCD is a rectangle. What is its area? Round your answer to the nearest tenth.
(2,5)
(-4,3)
(3, 2)
(-3,0)

Answers

Answer: The correct option is A.

Step-by-step explanation:

To calculate the distance between the points, we use the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where,

d= distance

[tex]x_2\text{ and }x_1[/tex] are the coordinates of the points on x-axis

[tex]y_2\text{ and }y_1[/tex] are the coordinates of the points on y-axis

For the given points:

A(-4,3), B(2,5), C(3,2) and D(-3,0)

Calculating the distance CD:

[tex]x_2=3\\x_1=-3\\y_2=2\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]CD=\sqrt{(3-(-3))^2+(2-0)^2}\\\\d=\sqrt{36+4}=6.32units[/tex]

Calculating the distance AD:

[tex]x_2=-4\\x_1=-3\\y_2=3\\y_1=0[/tex]

Putting values in above equation, we get:

[tex]AD=\sqrt{(-4-(-3))^2+(-3-0)^2}\\\\d=\sqrt{1+9}=3.16units[/tex]

To calculate the area of a reactangle, we use the equation:

[tex]Area=l\times b[/tex]         ....(1)

where,

l = length of the rectangle = CD = 6.32 units

b = breadth of the rectangle = AD = 3.16 units

Putting values in equation 1, we get:

[tex]Area=6.32\times 3.16\\\\Area=20.0 \text{ square units}[/tex]

Hence, the correct option is A.

Answer:

The answer is A.

Step-by-step explanation:

I got it correct.

The half life of Co-60 is 5.20 years. How many milligrams of a 1.00mg sample remains after 6.55 years

Answers

Answer:

For cobalt-60, which has a half-life of 5.27 years, 50% remains after 5.27 years (one half-life), 25% remains after 10.54 years (two half-lives), 12.5% remains after 15.81 years (three half-lives), and so on.

Step-by-step explanation:

You can figue out the rest.

please help. question in picture ​

Answers

Answer:

Step-by-step explanation:


Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form

Answers

Answer:

Step-by-step explanation:

how do i simplify 81^5 = 3x

Answers

Step-by-step explanation:

81/5=3x

x=81×1/5×3

x=81/15

qual é a raiz quadrada de 84

Answers

9.16515138991 es la raíz cuadrada

238/35 mixed number simpified

Answers

Answer:

6 4/5

Step-by-step explanation:

Find the Greatest Common Factor (GCF) of 238 and 35, if it exists, and reduce our fraction by dividing both numerator and denominator by it. GCF = 7,

=238÷7/35÷7=34/5

Converting to a mixed number using long division with remainders for 34 ÷ 5.

34÷5=6R4

Therefore:

34/5=6 4/5

Create a number line to illustrate the following operations and find the solution.

Answers

Answer:

416

Step-by-step explanation:

26 times 16 is 416

8 ? i need answers asap

Answers

Answer: SInce this is multiple choice I won't provide an explanation. The answers are B) (-1, -4) and E) (4, 6)

how much greater is the volume of the refrigerator than the volume of the top part

Answers

Answer:

volume quantity is hjaj

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer : 424.875 miles

The problem states that Brian can travel ‘27.5’ miles per gallon, and his tank can only hold ‘15.45’ gallons of fuel.

To find the miles he can travel, all you have to do is multiply the miles he can travel per gallon (27.5) by the gallons he has in the tank (15.45).

This gives you the answer of 424.875 miles.

Answer:

27.5 miles per gallon

1 full tank = 15.45 gallons

27.5 x 15.45 = 424.875 miles

rounded to the nearest 100th: 424.88 miles

nearest 10th: 424.9 miles

nearest whole #: 425 miles

The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us?​

Answers

Answer:

70 + 301 = 371

Step-by-step explanation:

This equation tells the gym

Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k​

Answers

Answer:

The value of k is 14.

Step-by-step explanation:

(x - 2) is a factor of the polynomial

[tex]x - 2 = 0 \rightarrow x = 2[/tex]

This means that [tex]p(2) = 0[/tex]

p(x) = 2x² + 3x - k​

[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]

[tex]0 = 8 + 6 - k[/tex]

[tex]14 - k = 0[/tex]

[tex]k = 14[/tex]

The value of k is 14.

What is the equation line of A?
What is the equation line of B?

Answers

Answer:

see below

Step-by-step explanation:

Line A is a horizontal line

It is of the form y = constant

y = 4

Line B is a vertical line

It is of the form x = constant

x = 8

Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.

Answers

Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x

Just did this the other day...

The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,

Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).

Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].

Factor the denominator: 8x(x² - x - 5).

Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].

Further simplify the numerator: 3x² - 19x + 25.

Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].

To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:

Find a common denominator for the two fractions.

The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).

Rewrite the first fraction with the common denominator.

(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)

Combine the fractions by subtracting them.

= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]

Factor the denominator of the resulting expression (if possible).

The denominator 8x(x² - x - 5) is already factored.

Simplify the expression, if possible.

= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]

Combine like terms in the numerator.

= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]

Simplify the numerator further.

= 3x² - 19x + 25 / [8x(x² - x - 5)]

Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].

learn more about expression here

brainly.com/question/34132400

#SPJ2

I’ll give brainliest to the first answer

Answers

Answer:

52

Step-by-step explanation:

4 1/2 x + 2x

Let x = 8

4 1/2 (8) + 2(8)

Change to an improper fraction

9/2(8) +2(8)

36+16

52

Use the remainder theorem to find P(2) for P(x) = -x^3 + 4x^2 + 4

Answers

Answer:

12

Step-by-step explanation:

P(2)=-2³+4(2)²+4=-8+16+4=12

20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answers

Answer:

The answers for edge 2021 is

Step-by-step explanation:

16 and 10

David has available 240 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?

Answers

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2*width + 2*length

So

240 = 2w + 2l

120 = w + l

l = 120 - w

(a) Area = w*l

Substituting for l:

A = w(120 - w)

A = 120w - w^2

(b)

Finding the derivative:

A = 120w - w^2

A' = 120 - 2w

For a maximum area A' = 0, so:

120 - 2w = 0

2w = 120

w = 60 yards for maximum area.

(c)

Maximum area

= 120*60 - 60^2

= 3600 yd^2.

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