3
Tanner purchased a new car for $10,000. The car's value is depreciating (Decreasing) by 5% each year. If this is an exponential situation, write an equation
for this situation, then determine the new value of the car after 3 years. Round your answer to two decimal places

Answers

Answer 1

Answer:

$8573.75

Step-by-step explanation:

The value of the car as a function of the number of years (t) is

V = $10,000(1.00-0.05)^t

which, after 3 years, comes to V = $10,000(1.00-0.05)^3 = $8573.75


Related Questions

what is the solution to this linear equation.

-4 + bx = 2x + 3(x + 1)
if b = 3 what is the solution?

Answers

-4+3x= 2x +3x +3
-4-3= 2x + 3x -3x
-7 =2x
X= -7/2

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. y = -5x² + 194x - 990​

Answers

Answer: 19.4

Step-by-step explanation:

Given

Profit is given in terms of the selling price

[tex]y=-5x^2+194x-900[/tex]

to get the maximum price, differentiate y w.r.t x

[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=-5\times 2x+194[/tex]

Put  [tex]\frac{\mathrm{d} y}{\mathrm{d} x}=0[/tex] to get maximum value

[tex]10x=194\\x=19.4[/tex]

Thus, the company must sell it at 19.4

help!, i honestly forgot this lol

Answers

Answer:

C. 21 to 28

Step-by-step explanation:

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6 inches, and Frame B has a length of 7 inches. 1. Without calculating, predict which frame has the shorter width. Explain your reasoning. 2. Find the width that you predicted to be shorter. Show your reasoning.​

Answers

9514 1404 393

Answer:

  1. the longer frame (B) has the shorter width

  2. the shorter width is 6 3/7 inches, area divided by length

Step-by-step explanation:

The relation between area, length, and width is ...

  A = LW

Then the width is ...

  W = A/L . . . . .  inversely proportional to length

__

1. Since length and width are inversely proportional (when area is constant), the shorter width will be associated with the longer length. Frame B will have the shorter width.

__

2. The width of frame B is ...

  W = A/L = (45 in²)/(7 in) = 45/7 in = 6 3/7 in

Find the median of the set of numbers.
17, 37, 39, 27, 38, 26, 28, 24, 40


23

27.2

28

30.7

Answers

D is the correct answer

if the base area of a cylinder is 15.6 square centimeters and the height is four centimeters what is the volume of the cylinder?​

Answers

Answer:

Volume of the cylinder = 62.4 cm³

Step-by-step explanation:

Volume of a cylinder = area of base × height of the cylinder

Area of base = 15.6 square centimeters

Height of the cylinder = 4 centimeters

Volume of a cylinder = area of base × height of the cylinder

= 15.6 cm² × 4 cm

= 62.4 cm³

Volume of the cylinder = 62.4 cm³

I need these two questions answered (50 points)

Answers

Answer:

Equation for question number 1:

y = -6x -1

Equation for question number 2:

y = 6x

OR

y = 6x + 0

btw, if you want to know how to solve the equations by urself, the equation is y = mx + b

m = slope

b = starting point / intercept

hope this helps!

1:

-1-(-7) / -1 = -6

Y intercept in this doesn’t need solving

Answer is y = -6x -1

2:

12 -18 / 2 -3 = 6

Then you need to solve for the Y Intercept, so you would have to plug the numbers into the equation.

12 = 2(6) + b
12 = 12 + b
-12 -12
0 = b

Answer:

y = 6x


Plzzzz need help ASAP plsss

Answers

Not a function b/c for the vertical line test it must go through it once

Combine the like terms to create an equivalent expression.
4t-t+2

Answers

3t+2. The two stays the same because there are no like terms

Answer:

3t+2

Step-by-step explanation:

khan said so

People most likely need to take out a mortgage when they
a) have bad credit.
b) are making a large purchase.
c) are spending less than $1,000.
d) have legal problems.
FIRST ANSWER GETS BRAINLIEST ;)

Answers

Answer:

a or c

Step-by-step explanation:

Please help I don’t know how to answer !!!

Answers

i can't see it properly, i'll help you when it's the correct angle.

WILL GIVE BRAINLIEST PLZ HELP

Is the second image right?
(the new line is the blue one)

Answers

Answer: based on f(x) + 4 no

Step-by-step explanation:

If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy in calories would be required to complete a marathon race (26.2 miles) at this pace

Answers

Answer:

[tex]1290[/tex] calories

Step-by-step explanation:

Given: The racer moves at [tex]13.1[/tex] miles per hour expends energy at a rate of [tex]645[/tex] calories per hour.

To find: Energy in calories, required to complete a marathon race [tex]26.2[/tex] miles at this pace.

Solution: We have,

The racer moves at [tex]13.1[/tex] miles per hour.

The racer expends energy at a rate of [tex]645[/tex] calories per hour.

So, energy expended while moving [tex]13.1[/tex] miles [tex]=645[/tex] calories.

Now, energy expended while moving [tex]1[/tex] mile [tex]=\frac{645}{13.1}[/tex] calories.

So, energy expended while moving [tex]26.2[/tex] miles [tex]=\frac{645}{13.1}\times 26.2=645\times 2=1290[/tex] calories.

Hence, [tex]1290[/tex] calories of energy is required to complete a marathon race [tex]26.2[/tex] miles at this pace.

The wheelchair-marathon racer would need 1290 calories to complete the marathon race.

Speed

Speed is the ratio of distance travelled to total time taken. It is given by:

Speed = distance / time

The speed of the racer is 13.1 miles per hour. To complete a 26.2 miles:

13.1 = 26.2 / t

t = 2 hours.

The racer expends energy at a rate of 645 calories per hour, for 2 hours:

Amount of calories = 645 calories per hour * 2 hours = 1290 calories

The wheelchair-marathon racer would need 1290 calories to complete the marathon race.

Find out more on speed at: https://brainly.com/question/4931057

HELP ME 15 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

false, true, false, true

I don’t know maybe as someone said
False , True , False , True

What is the value of x? Four-fifths x minus StartFraction 1 Over 10 Endfraction = StartFraction 3 Over 10 EndFraction One-fourth StartFraction 8 Over 25 EndFraction Two-fifths One-half

Answers

Answer:

1/2

Step-by-step explanation:

Given the expression

4/5 x - 1/10 = 3/10

We are to find the value of x

4/5 x = 3/10 + 1/10

4/5 x = 4/10

Cross multiply

4x * 10 = 5 * 4

40x = 20

x = 20/40

x = 1/2

The value of x is 1/2

Answer:

Its 1/2 :)

Step-by-step explanation:

help please (it has to be 20 more characters ignore)

Answers

Answer:

The value of g is 7.

Step-by-step explanation:

☆ Let's solve!

[tex] \: \: \: \: 3 + g = 10 \\ \frac{- 3 \: \: \: \: \: \: \: \: \: = - 3}{g = 7} [/tex]

B. G is 7. Explanation: 10-3=7, check it by seeing if 7+3=10 and it does!

Please please please help me with math

Answers

Answer:

30 dollars

Step-by-step explanation:

The y-intercept is 15 and the slope is 30

How?

slope = change in y/change in x

Can someone help me with this , thank you :)

Answers

All line that are parallel to y=2x-5 y=2x-5 have the same slope of 2

At the end of a snow storm, Michael saw there was a lot of snow on his front lawn.
The temperature increased and the snow began to melt at a steady rate. The depth of
snow on Michael's lawn, in inches, can be modeled by the equation S = - 2t +20,
where t is the time, in hours, after the snow stopped falling. What is the x-intercept
of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

The x-intercept of the function is 10 which represents the number of hours until all the snow has melted

Step-by-step explanation:

There were 0 inches of snow on the lawn after 10 hours, the x intercept of 10 represents the number of hours after the storm stopped when all the snow had melted.

-2t+20=S

-2t+20=0

-2t =-20

t=10

A coat that usually cost $120.00 is marked 1/3 off. What is the sale price of the coat?

Answers

Answer:

The sale price would be $80.00

Step-by-step explanation:

1/3 (33%) of $120 is $40.

$120 - $40 = $80

Mary Kate borrowed $8,000 at a 7% simple interest rate for 3 years. At the end of the three years, how much does she owe in total? *

Answers

Answer:I think its A

Step-by-step explanation:

Is the opposite of 32, is 32?

Answers

Answer:

Step-by-step explanation:

NO i think

Find all of the factors of 18 and all of the factors of 24. Then put the FOUR numbers that are common factors of 18 and 24 in the text box.

Answers

Answer:

18;1,2,3,6,9,18

24;1,2,3,4,6,8,24

com;1,2,3,6,

Step-by-step explanation:

8 is 32 times as many as 4
32 is 4 times as many as 8
4 times as many as 32 is 8
8 times as many as 8 is 232

Answers

What’s the question on this??? I’m confused. Please lmk so I can help you get the right answers :)


Identify the constant of proportionality

Answers

The answer is #2. 3/2. The dot rises 3 lines and moves to the right 2 lines.

Solve for X and solve for Y?

Answers

Answer:

[tex] x=3\sqrt 5\\[/tex]

[tex]y = \sqrt {126}[/tex]

Step-by-step explanation:

By geometric mean property:

[tex]x = \sqrt{9 \times 5} = \sqrt{45} = 3 \sqrt{5} \\ \\ by \: pythagoras \: theorem \\ \\ {y}^{2} = {9}^{2} + {x}^{2} \\ \\ {y}^{2} = {9}^{2} + {(3 \sqrt{5}) }^{2} \\ \\ {y}^{2} = 81 + 45 \\ \\ {y}^{2} = 126 \\ \\ y = \sqrt{126} [/tex]

what is y = -2x +4, x =3.5​

Answers

Answer:

(3.5, -3)

or

y = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

y = -2x + 4

x = 3.5

Step 2: Evaluate

Substitute in x:                    y = -2(3.5) + 4Multiply:                               y = -7 + 4Add:                                     y = -3

29-30. URGENT! WILL GIVE BRAINLIEST! I've reposted this many times and no one answered, please help. I will mark you Brainliest if you answer both and leave an explanation, THANK YOU!​

Answers

Answer:

angle B = 90

Step-by-step explanation:

BC is a straight line which equals to 180 and C is 90 so you would take 180 minus 90 and would get 90

Point A is at (-2,4) and point B is at (7,3). What is the midpoint of line segment AB

Answers

Answer:

(2.5,3.5)

Step-by-step explanation:

Answer:

(2.5, 3.5)

Step-by-step explanation:

I will mark you as brainliest please help quickly I have 15 minutes!

Answers

Answer:

Blue line:  b value: 4  m value: -1/3  Inequality: <     Red Line:  b value: 2  m value: 2  Inequality: >

Step-by-step explanation:

4=-1/3(0)+b

4=b

0=2(-1)+b

0=-2+b

2=b

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