You bought a used truck for $15,000. The value of the truck will
decrease each year because of depreciation. The truck depreciates at the rate of 8% per year. Write an exponential decay model to represent the real-life problem.

Answers

Answer 1

Answer:

[tex]15000 \times {0.92}^{x} = y[/tex]

x is the number of years and y is the value at x years

Answer 2

The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

Calculation of the exponential decay model:

Since the purchase value of the truck is $15,000

The depreciation rate is 8%

So here exponential decay model should be like

[tex]15000 \times 0.92^{x} = y[/tex]

Hence, The exponential decay model to represent the real-life problem should be considered as the [tex]15000 \times 0.92^{x} = y[/tex].

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Related Questions

could you guys help me?

Answers

Answer:

15.6 feet

Step-by-step explanation:

I have no time to explain

The answer will be 15.6 feet

So far in math you have taken 10 quizzes this semester. The mean of the scores is 88.5 what is the sum

Answers

Answer:

Use M a t h w a y it helps. Trust me.

The sum of scores in quizzes of math is [tex]\boldsymbol{885}[/tex].

"To understand the calculation, check below."

What is mean?

Mean is calculated by dividing sum of all the observations by number of observations.

For a data collection containing numbers that are close together, the mean is the best option.

Total number of quizzes in math [tex]=10[/tex]

Mean scores [tex]=88.5[/tex]

Therefore,

Sum of all scores [tex]=10 \times 88.5[/tex] [tex]=\boldsymbol{885}[/tex]

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Cone W has a radius of 10 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W.

Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?

Answers

Answer:

The answer is C.

Step-by-step explanation:

I took the test and got it right

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A thick or empty device with an approximately round or elliptical base that tapers to a notch is known as a cone.

Cone W has a radius of 6 cm and a height of 5 cm.

The base area of the cone will be

A = πr²

A = π (6)²

A = 113.04 square cm

Then the volume of the cone will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Square pyramid X has the same base area and height as cone W.

Then the volume of the square pyramid will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

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James earns $2.20 less than twice gregs hourly wage. If james earns $16.50 per
hour, what is gregs hourly wage ?

Answers

Answer:

James earns $2.20 less than twice Greg's hourly wage. If. James earns $16.50 per hour, what is Greg's hourly wage? let x= Grea's hourly wage. 2x-2.20-James' hourly wage. 2x-2.20=16.50. 2x=16.50+2.20. 2x= 18.70.

If James earns $2.20 less than twice gregs hourly wage.If james earns $16.50 per hour, then gregs hourly wage is  $9.35

What is equation?

Two or more expressions with an equal symbol operator is called equation.

Given that james earns $16.50 per hour,

and James earns $2.20 less than twice gregs hourly wage.

let x= Grea's hourly wage.

James earns $2.20 less than twice gregs hourly wage by data.

2x-2.20=James' hourly wage.

2x-2.20=16.50.

2x=16.50+2.20.

2x= 18.70.

Divide by 2 on both sides

x=9.35

Hence gregs hourly wage is $9.35.

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PLEASE HELP. WILL MARK BRAINLIEST IF CORRECT

Answers

9514 1404 393

Answer:

  (b)  Congruent Figures

Step-by-step explanation:

Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.

On the other hand, dilations change the size of the figure, so the image is not congruent with the original.

Rigid transformations result in congruent figures.

Today, everything at a store is on sale.The store offers a 20% discount. If the regular price of an item is x dollars, write an equation and find the regular price of a hat that has been discounted to $18

Answers

Answer:

$22.50

Step-by-step explanation:

Write 0.09 as a fraction.


A) 1/11

B) 1/7

C) 1/99

D) 1/9

Answers


D 1/9 would be the answer

Answer would most likley be A i think because 1/11 is 0.0909090909091

NEED HELP ASAP!!!!!!!!

Answers

Answer:

x=2

PR=7

Step-by-step explanation:

1) 6x - 5  = 9 - x

You can do this because RQ and PR are equal in length

2) 6x + x = 9 + 5

Combine like terms and solve for x

3) 7x = 14

   x=2

PR= 6x - 5

= 6(2) -5

= 7

I need help with this question please?! I'm having a hard time answering it!

Answers

Answer:

£0.40

Step-by-step explanation:

Divide £40 by £3.30 to find the number she can buy

£40 ÷ £3.30 = 12.1212..

That is she can buy 12 light bulbs

cost = 12 × £3.30 = £39.60

change = £40 - £39.60 = £0.40

Select the correct answer.
Which value of x makes the equation true?

x + 7 = -9

Answers

Answer:

x = - 16

Step-by-step explanation:

Given

x + 7 = - 9 ( subtract 7 from both sides )

x = - 16

You will always get 1 as an answer when you multiply any by what of in the following
A. negative 1
B. Negative 1/2
C. The reciprocal
D. Just 0

Answers

Answer:

C. The reciprocal

I hope this helps!

Answer:

C the reciprocal I used process of elimination honestly

Step-by-step explanation:

Which set of numbers forms a Pythagorean triple?
1, 2 , 4
6, 7 , 13
3 ,4 , 5
8, 15 , 20

Answers

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25

Examine the graph. (below)
Select each interval where the graph is increasing.


​ 2
​ −1
−3
​ 0

Answers

Answer:

The graph is increasing at -2 and 2 if im not wrong

plzzzz help with this

Answers

Answer:

0.125

Step-by-step explanation:

2/16 = 1/8 = 0.125

Can some one pls help me

Answers

Answer:

The next sequence is

0,1,2,3

Step-by-step explanation:

Boskyville is planting tree along both sides of its streets.The trees will be planted 50 feet apart. the first tree on the block must stand 20 feet from the corner. if the blocks in boskyville are 390 feet long, how many trees will be planted along one block?

A.14 trees
B. 16 trees
C. 8 trees
D. 7 trees

Answers

Answer:

7 trees will be planted along one block.

Therefore, option D is the correct choice.

Step-by-step explanation:

The length of the block in boskyville = 390 feet

The condition is that the first tree on the block must stand 20 feet from the corner.

So subtract 20 feet from the length of the block in boskyville.

i.e  390 feet - 20 feet = 370 feet

Given the trees will be planted 50 feet apart.

Thus, divide the 370 feet by 50 feet would bring us the total number of trees being planted along one block

i.e.

Trees along one block = 370 / 50

                                      = 7 (Rounded to the whole number)

Thus, 7 trees will be planted along one block.

Therefore, option D is the correct choice.

Someone please help w image below

Answers

Answer:

slope = 0

Step-by-step explanation:

A horizontal line parallel to the x- axis has a slope of zero.

Since the x- axis has a slope of zero, any line parallel to it will also have a slope of zero.

After 12 years, a deposit of $10,000 into your college account has earned $6,000 in interest payments. What simple interest rate did the account earn

Answers

Answer:

5%

Step-by-step explanation:

I = PRT/100  where I = interest, P = initial deposit, R = the rate in %, T = number of years.

So substituting the given values:

6000 = 10000*R* 12/100

10000*12*R =  100*6000

R =  100*6000 / (10000 * 12)

R = 600000/120000

= 5%

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Stella is recording temperatures every day for 5 days. On the first day, Stella recorded a temperature of 0 °F.
a. On the second day, the temperature was 3 °F above the temperature on the first day.
What was the temperature on the second day?
b. On the third day, it was 4 °F below the temperature of the first day. What was the temperature?
c. The temperature on the fourth day was the opposite of the temperature on the second day. What was the temperature?

d. The temperature on the 5th day was the absolute value of the temperature on the 4th day. What was the temperature?
e. Write the temperatures in order from least to greatest.
f. What is the difference in temperature between the coldest day and the warmest day?

Answers

Answer:

a: 3°

b: -4°

c: -3°

d: 3°

e: -4°,-3°,0°,3°,3°

f: 7

What are the roots of x in -10xsquare+12-9=0

Answers

Answer:

[tex]x=\pm \sqrt{\frac{3}{10}}[/tex]

Step-by-step explanation:

[tex]-10x^2+12-9=0\\\\-10x^2+3=0\\\\-10x^2=-3\\\\x^2=\frac{-3}{-10}\\\\x^2=\frac{3}{10}\\\\[/tex]

here we have to cases

case 1

[tex]x=\sqrt{\frac{3}{10}}\\[/tex]

case 2

[tex]x=-\sqrt{\frac{3}{10}}[/tex]

Given:

Consider the given equation is

[tex]-10x^2+12x-9=0[/tex]

To find:

The roots of x in the given equation.

Solution:

We have,

[tex]-10x^2+12x-9=0[/tex]

On comparing this equation with [tex]ax^2+bx+c=0[/tex], we get

[tex]a=-10,b=12,c=-9[/tex]

Using quadratic formula, we get

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-10)(-9)}}{2(-10)}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{144-360}}{-20}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{-216}}{-20}[/tex]

We know that, [tex]\sqrt{-1}=i[/tex].

[tex]x=\dfrac{-12\pm 6\sqrt{6}i}{-20}[/tex]

[tex]x=\dfrac{-2(6\mp 3\sqrt{6}i)}{-20}[/tex]

[tex]x=\dfrac{6\mp 3\sqrt{6}i}{10}[/tex]

[tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex]

Therefore, the roots of the given equation are [tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex].

Find ab and bc in the situation above

Answers

Answer:

So we know that 5x+10 and x +16 should give us 56. So let's combine the like terms.

1) 6x+26=56

Now lets solve for x.

2) 6x=30

   x=5

3) To solve for AB and BC we will plug in the value of x.

AB= (5) + 16= 21

BC= 5(5)+10= 35

You can also double check the right answer by checking whether 21+35 = 56, and in this case it does.

Michael chose some positive number, multiplied it by itself, added 1, multiplied the result by 10, added 3, and multiplied the result by 4. His final answer was 2012. What number did Michael choose?

Answers

Answer: 7

Step-by-step explanation:

Let the number chosen by Michael be x.

We are told that he multiplied it by itself, added 1. This would be:

= = ( x × x) + 1 = x² + 1

We are further told that he multiplied the result by 10, and added 3. This would be:

= = [(x² + 1) × 10] + 3

= 10x² + 10 + 3

= 10x² + 13

Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:

(10x² + 13) × 4 = 2012

40x² + 52 = 2012

40x² = 2012 - 52

40x² = 1960

x² = 1960/40

x² = 49

x = ✓49

x = 7

The number is 7

can be expressed as:

= ( x × x) + 1 = x² + 1

This graph represents the positions of two turtles in a race.On the same axes, draw a line for a third turtle that is going half as fast as the turtle described by line g.

Answers

Answer:

step g

Step-by-step explanation:

it axis is giong up more than other turtle which makes more sense.

can someone help me with this please ill give brainest

Answers

Answer:

Step-by-step explanation:

                                           Justifications

-2(x + 6) < 3(x + 1)                   Given

-2x - 12 < 3x + 3                     Distributive property

-2x < 3x + 15                          Addition property of Order

-5x < 15                                  Subtraction property of Order

x > 3                                       Division property of Order

Which expression can be used to find 12 percent of $98? 12 times 98 0.12 times 98 dollars StartFraction 1 Over 12 EndFraction times 98 dollars StartFraction 1 Over 0.12 EndFraction times 98 dollars

Answers

Answer:

0.12 times 98

Step-by-step explanation:

100×0.12=12, which is 12% of 100

Answer:

0.12 times 98 dollars

Step-by-step explanation:

i took the test

Find the difference.
15 - (-5) =

Answers

Answer:  20

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

Explanation:

The two negatives cancel to form a positive. A negative is just opposite. So we have two opposites canceling.

15 - (-5) = 15 + 5 = 20

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

Here's another way to look at it:

Let's say we're on the 15th floor of a skyscraper. We can think of each floor of the skyscraper as part of a vertical number line (or ruler).

If we go up 5 floors, then we write 15+5 = 20 showing we end up on the 20th floor.

If we go down 5 floors, then we write 15-5 = 10

Adding makes us go up, subtracting makes us go down.

If we add on a positive number, then we go up, but adding on a negative number ultimately has us go downward.

This is because of something like 15 + (-5) = 15 - 5 = 10.

Subtracting a negative is really the same as adding. Subtracting pulls us down, but the negative counterbalances things to go the opposite direction (going up). So that's why 15-(-5) = 15+5 = 20.

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

Yet another way to look at it:

Negative values are useful in finance when talking about debt.

If you have 5 iou's of debt, then we write this as -5

If you transfer that debt to a friend whos account balance is $15, then their balance becomes 15 + (-5) = 10 dollars. They would have 10 dollars left after paying the debt.

Now let's say the friend got those iou's taken away and someone else paid for them. That would mean we would say 15 - (-5) = 15+5 = 20 is that first friend's new balance. Effectively they got 5 additional dollars when that debt was taken off their hands.

Please help !!!!!!!!

Answers

Answer:

A=$12451.67474

Step-by-step explanation:

A=$12000{(1+3/100)^¼)}^4

A=$12451.67474

WRITE IN ALGEBRIC EXPRESSION
c) Subtract 3times of k from 25

Answers

K=22
Hope this helps.

HAPPYface if the given ordered pair is a solution to the system and a SAD faceof not.

PLEASE ANSWER

Answers

Answer:

Step-by-step explanation:

1)  :)

2) :(

3) :(

4) :(

5) :)

What is the answer to 2x^3-x^2+3x^4-7 desperately need help

Answers

Answer:

Step-by-step explanation:

-2x^-1-7

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