write the exponential equation given a starting value of 7.5 and a decay rate of 7.5%

Answers

Answer 1

Answer:

A used car has a value of $15,250 when it is purchased in 2012. The value of the car decreases at a rate of 7.5% per year.

Write an exponential function that models the value of the car, y, over x years.

To the nearest cent, what will be the value of the car after eight years?

Step-by-step explanation:


Related Questions

what is the equation of the line that is perpendicular to y = −2x + 5 through the point (-4, -5)

Answers

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

y+5/x+4=1/2

so 2y+10=x+4

2y-x=-6

Answer:

[tex]y=\frac{1}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

We are given the equation y=-2x+5 and we want to find the equation of the line that is perpendicular to that line, and pass through the point (-4, -5)

Perpendicular lines have slopes that multiply to get -1.

So to find the slope of the perpendicular line: use the formula [tex]m_1*m_2=-1[/tex], where [tex]m_1=-2[/tex]

Substitute:

-2m=-1

Divide both sides by -2

m=[tex]\frac{1}{2}[/tex]

Here's the equation of the line so far, as we know it, written in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept):

[tex]y=\frac{1}{2}x+b[/tex]

We need to find b.

Because we know the line passes through the point (-4, -5), we can use it to help solve for b.

Substitute -4 as x and -5 as y

[tex]-5=\frac{1}{2}(-4)+b[/tex]

Multiply:

-5=-2+b

Add 2 to both sides

-3=b

Substitute -3 as b:

y=[tex]\frac{1}{2}x-3[/tex]

Hope this helps!

I will give Brainliest to the first person

Answers

Answer:

x^3

Step-by-step explanation:

Place the following steps in order to describe how to solve the following equation: ​ ​ 2(2x+3)-2=5

Answers

Answer:

0.25

Step-by-step explanation:

First, you distribute the equation.

2(2x+3)-2=5

4x+6-2=5

Then, you combine like terms.

4x+6-2=5

4x+4=5

Next, you subtract 4 from each side.

4x+4=5

4x+4-4=4x

5-4=1

4x=1

Finally, you divide each side by 4.

4x/4

1/4

(4x/4 you'd end up with x)

Answer: x=1/4

can someone helo me with this 4^x x 8^x ^+ ^1 = 2⁴​

Answers

Answer:

c

Step-by-step explanation:

Donna bought 4 bags of dog treats for $10.72. What is the cost per bag of dog treats?

Answers

Answer:

2.68

Step-by-step explanation:

Answer: The bags cost about $2.68 each

Step-by-step explanation: All I did was simple Division: ($10.72 ÷ 4 = $2.68) If you need to double check to see if this is accurate, you can do ($2.68 x 4= 10.72)  Therefore, this equation has an accurate answer.~

Hope this helps, have a great day/night!

~IFoundJiminsLostJams~

Please solve the math problem... I will mark you brainliest

Answers

I need a better picture of the shape

A family of 2 adults and 3 children goes to a play . admission costs $8per adults and $5 per child. what expression would show the total admission cost for the family

Answers

Answer:

8 + 8 + 16 5 * 3 is 15 16 + 15 is 31 that is the answer to the question

Solve for t:
t + 7 = 21

A: t= 28
B: t= 14
C: t= -28
D: t= -14

Answers

t + 7 = 21

---Subtract 7 from both sides

t + 7 - 7 = 21 - 7

t = 14

Hope this helps!! :)

Answer:

B) t = 14

Step-by-step explanation:

The sum of a number and seven more than the number is 43. What is the number?

Answers

Answer:

18

Step-by-step explanation:

we can use the variable x to represent the number since it's currently unknownseven more than the number can be represented as x + 7we can find the sum of both by adding them

x + x + 7 = 43

2x + 7 = 43

     -7     -7

2x = 36

we divide by 2 on both sides to isolate x

x = 18

what is one third of 16

Answers

Answer:

It is 16over 3or 5.333333333333

Step-by-step explanation:

1/3*16=16/3

16/3=5.33333333333333

The answer fully rounded will be 5.3

A manufacturing company makes two types of water​ skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. ​Labor-Hours per 8 and 6 Ski Maximum​ Labor-Hours Department is 336 and 48 Trick Ski Slalom Ski Available per Day Fabricating Finishing 1 1 If the profit on a trick ski is ​$40 and the profit on a slalom ski is ​$​60, how many of each type of ski should be manufactured each day to realize a maximum​ profit? What is the maximum​ profit? The maximum profit is ​$ nothing. The maximum occurs when nothing trick skis and nothing slalom skis are produced.

Answers

Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.

Step-by-step explanation:

The optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

Given data:

To solve this problem, we can use linear programming techniques to find the optimal number of trick skis and slalom skis that should be manufactured each day to maximize the profit.

x = number of trick skis

y = number of slalom skis

We need to maximize the profit function: P = 40x + 60y

Subject to the following constraints:

1x + 1y ≤ 336 (Fabricating department constraint)

1x + 1y ≤ 48 (Finishing department constraint)

x, y ≥ 0 (Non-negativity constraint)

We can graphically represent these constraints on a coordinate plane and find the feasible region, which is the region where all constraints are satisfied. Then, we can evaluate the profit function at the corner points of the feasible region to find the maximum profit.

After solving this system of linear inequalities, we find that the feasible region is a triangle with vertices at (0, 48), (0, 48), and (48, 48).

Evaluating the profit function at these vertices:

P(0, 48) = 40(0) + 60(48)

= $2880

P(0, 0) = 40(0) + 60(0)

= $0

P(48, 0) = 40(48) + 60(0)

= $1920

The maximum profit is $2880, which occurs when they produce 48 slalom skis and 0 trick skis.

Hence, the optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

To learn more about linear programming, refer:

https://brainly.com/question/28579054

#SPJ3

43 tens x 2 tens????????????????????????????????????

Answers

Step-by-step explan:45decenas

Answer:

8,600

Step-by-step explanation:

43 tens is basically 43 x 10

2 tens is 2 x 10

multiply that to get 8600

Hope it helps! :D


The PTA makes a $5.00 profit on each school sweatshirt they sell. If they made a
profit of $2,170.00, how many sweatshirts did they sell?

Answers

Answer:

434 sweatshirts were sold

Step-by-step explanation:

$2,170/$5 = 434

Mega Mart received 1,447 fish. The store's manager put 76 fish into each of the store's aquariums. Then he purchased the remaining 3fish for his own aquarium. How many aquariums does Mega Mart have?

Answers

Answer:

19

Step-by-step explanation:

1447-3=1444, 1444/76=19

Hope that helps!

Please help, thank you!

Answers

this isnt a linear a function since some points overlap

что 900 умножить на 1000000

Answers

Answer:

900,000,000

Step-by-step explanation:

900×1,000,000

=900,000,000

Надеюсь, это помогло тебе, хорошего дня)

2x( 3x + 5 ) - 3 ( 2x^{2} - 2x + 3)

Answers

Answer:

16x - 9

Step-by-step explanation:

2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis

= 6x² + 10x - 6x² + 6x - 9 ← collect like terms

= 16x - 9

Answer:

16X-9

Step-by-step explanation:

(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)

6x²+10x+6x²+6x +-9

combine like terms

6x² +10x +-6x² +6x+-9

(6x² +6x² )+(10x+6x)+(-9)

16x+-9

16x-9

When The sum of 1. 3240 and 1. 4872 is subtracted from 4. 0121 it will give you the difference of

A. 1. 2109
B. 2. 0905
C. 1. 2009
D. 2. 7009​

Answers

Answer:

C. 1.2009

Step-by-step explanation:

1.3240 + 1.4872 = 2.8112

4.0121 - 2.8112 = 1.2009 - C

Which pair of numbers has a sum of 0?
1) 2 and 12
2) 2 and –12
3) 2 and –0.2
4) 2 and –2

Answers

4 because 2 + -2 is 0
The answer is 4) 2 and -2

If you did 2 + - 2, it is equal to 2 - 2 which is 0

6 exponent 2-4 for b=5

Answers

Answer

6 exponent 2 is 36

6 exponent 4 is 1296

Both added is 1332

Step-by-step explanation:

1. 6x6=36

2. 6X6X6X6= 1296

3 1296+36=1332

To gather data on a 1200-acre pine forest in Louisiana, the U.S. Forest Service laid a grid of 1410 equally spaced circular plots over a map of the forest. A ground survey visited a sample of 10% of the plots. 13 a. Explain how you would use a random number generator to choose an SRS of 141 plots. Your description should be clear enough for a classmate to carry out your plan. b. Use your method from part (a) to choose the first 3 plots.

Answers

To make a random selection using a random number generator, we could make use of a computer programming to execute the task by following the steps below ;

Total number of plots = 1410

10% of total = 0.1 × 1410 = 141 plots

A.) Using python 3 to generate a random sample of 141 plots :

import random

#import the random module

random_sample = random.sample(range(1410), 141)

#using the sample method, randomly select a sample of 141 plots from the total number of plots, 1410

print(random_sample)

#display the randiy selected plots which is 10% of the total

B.) Choosing the first three plots using the method described in (A)

first_3 = random_sample[:3]

#from the 141 random samples, use list slicing to select the first three plots from the sample

print('\n The first 3 plots are : ' , first_3)

#display the first three sample plots selected.

Learn more :https://brainly.com/question/25083828

For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°

will give brailist to correct answer and if you show the work

Answers

The sum of the measure of angle of a triangle = 180° .

Given two angles = 92° and 72°

_________________________

92° + 72° = 164°

180° - 164° = 16° (Ans)

Answer:

the answer is  16!


The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5. If there were 11,724 total votes, how many no
votes were there?


Answers

7+5 = 12
11724 / 12 = 977
977*5 = 4885
The answer is 4885 no votes.

What is the value of r?

Answers

Answer:

its 40

Step-by-step explanation:

180-100=80

80/2= 40

nye nye nye nye nye nye nye ​

Answers

Answer:

what question is this lol

Step-by-step explanation:

yes loving it your amazing hope your doing well in school

Find the x- and y-intercepts for : 4y-6x = 24

Answers

Answer:

y-intercept = (0, 6)

x-intercept = (-4, 0)

Step-by-step explanation:

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates (0, b). It is also the value of y when x = 0.

To find the y-intercept, set x = 0:

4y - 6x = 24

4y - 6(0) = 24

4y = 24

4y/4 = 24/4

y = 6

Therefore, the y-intercept is (0, 6).

The x-intercept is the point the graph where it crosses the x-axis, and has coordinates (a, 0). It is also the value of x when y = 0.

To find the x-intercept, set y = 0:

4(0) - 6x = 24

0 - 6x = 24

-6x/-6 = 24/-6

x = -4

Therefore, the x-intercept is (-4, 0).

Please helpppppppppppppppp

Answers

Answer:

29520728184915396206153835295

Write the slope-intercept form of the equation of the line perpendicular to the
graph of 2x-y=6 that passes through the point (-4,1).

Answers

Answer:

12x=4y........................................

Maha keeps chickens. She estimates that the weight of one chicken egg is 75 g. Is this a reasonable estimate? Give a reason for your answer.

Answers

yes, it’s around 50-70g

Step-by-step explanation:

Yes this is not reasonable estimate because we count dozens of eggs not its mass

Can someone help in this math question?

Answers

Answer:

3168 cubic feet OR 3168ft^3

Step-by-step explanation:

22×18×8=3168ft^3

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