The cost to rent a dvd has decreased 25% per year over the past several years if the current cost is $2 write an exponential equation describing this situation, what did it cost to rent a DVD 5 years ago

Answers

Answer 1

Answer:

y = x(0.75)^t

the cost to rent a dvd 5 years ago is $8.43

Step-by-step explanation:

Let x represent the cost to rent a dvd 5 years ago;

And y the cost to rent a dvd t years after.

The cost to rent a dvd has decreased 25% per year, this can be written as an exponential function;

y = x(100% -25%)^t

y = x(1-0.25)^t

y = x(0.75)^t .....1

if the current cost is $2;

t = 5 years

y = $2

Substituting the values into equation 1;

2 = x(0.75)^5

2 = x(0.2373046875)

x = 2/(0.2373046875)

x = 8.427983539094

x = $8.43


Related Questions

Give the sum of 1/2 and 8/12 in simplest form

Answers

Answer:

7/6

Step-by-step explanation:

sum of 1/2 & 8/12 = 1/2 + 8/12

= 7/6

hope this help you !! ;))))

The first company charges 6500 to rent trucks plus an additional fee of 125.50 for each ton of sugar. The second company charges 5597 to rent trucks plus an additional fee of 200.75 for each ton of sugar. For what amount of sugar do the two companies charge the same? What is the cost when the two companies charge the same?

Answers

Answer:

a. 12

b. 8006

Step-by-step explanation:

We have company A, which is determined with the following equation:

A = 6500 + 125.5 * x

where x is the amount of ton of sugar

Same for company B:

B = 5597 + 200.7 * x

We want to know when A = B are equal, therefore:

6500 + 125.5 * x = 5597 + 200.7 * x

200.75 * x - 125.5 * x = 6500 - 5597

75.25 * x = 903

x = 903 / 75.25

x = 12

That is to say that when they are 12 tons of sugar they charge the same.

To know how much the value would be:

A = 6500 + 125.5 * 12 = 8006

B = 5597 + 200.75 * 12 = 8006

That is to say that the value when it is equal is 8006

AN EQUATION AND AN EQUALITY BOTH ALWAYS HAVE ONLY ONE SOLUTION?


TRUE


FALSE

Answers

The answer is false

Hope this helps :)

Answer:

False

Step-by-step explanation:

Both sides can end up unequal, and by that you end up with two solutions. Hope that this helps you and have a great day :)

Which ratio is equivalent to 7:3 =

Answers

Answer:

i think 14:6 is correct but im not too sure

Answer:

[tex]\frac{7}{3}=\frac{7n}{3n}[/tex]

n ∈ Z

[tex]\frac{7*(-5)}{3*(-5)}=\frac{7*(-2)}{3*(-2)}=...=\frac{7*8}{3*8}=...=\frac{7*1256}{3*1256}...etc[/tex]

You start with $1000 and every day you will receive the previous day’s total plus an additional $1000 a day for 30 days. How much money will you have after 30 days?

Answers

Answer:

496000$

Step-by-step explanation:

easy please help , check all that apply

Answers

Answer:

a b c d e f

Step-by-step explanation:

all good

yes it’s all of them

What does the expression n+3 represent??

Answers

Answer:

(?) +3

Explanation:

it would be whatever N equals then add 3

The ratio of the angles in a triangle is 2:3:4. What is the measure of the largest angle?
30°
60°
80°
20°

Answers

Answer:

80

Step-by-step explanation:

you can take the ratio 2:3:4 as

2x + 3x + 4x = 180

9x = 180

x= 20

4(20) = 80

Answer:

D) 20

Step-by-step explanation:

Set up an equation: 2x+3x+4x=180

9x=180

180/9=20

Answer: D) 20degrees

helpppp pls

Members at the Star Theater pay $30.00 per month plus $1.95 for each movie. Nonmembers pay the regular $7.95 admission fee. How many movies would both a member and a nonmember have to see in a month to pay the same amount?

Answers

Each of them would have to see 5 movies to pay the same amount.

Explanation;

Members have to pay $30 a month just to have a lower admission fee. So members already start with a high price. If you add 7.95 together 5 times you get 39.75. This is the same as the members when you add the $30 admission fee to the 5 movies. (30+1.95....). That is how you find that both members and nonmembers will be paying the same amount after both watching 5 movies.

Simplify: StartRoot StartFraction 27 x Superscript 12 Baseline Over 300 x Superscript 8 Baseline EndFraction EndRoot

Answers

Answer:

6x squared

Step-by-step explanation:

Answer:

Three-tenths x squared

Step-by-step explanation:

i just did this

HELP GIVING BRAINLIST TO THE COSSECT ANSWER

Answers

Answer:

1. -18-6k=6(1+3k)      k=   -1

2. 5n+34=-2(1-7n)   n=4

3. 2(4x-3)-8=4+2x    x=3

4. 3n-5=-8(6+5n)      n= -1

if i could get brainliest that would be great

What is the range 0 -9 -9 -6 -4 -7 -5 -3

Answers

Answer:

9

Step-by-step explanation:

put in order least to greatest

-9 -9 -7 -6 -5 -4 -3  0

9-0=9

range cannot be negative because it is the space between numbers and distance cannot be negative

Answer: The range is 9.

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

​7x−y=7

x+2y=6

please have a mixed fraction for both the y and x answers

Answers

Answer:

(1 [tex]\frac{1}{3}[/tex], 2 [tex]\frac{1}{3}[/tex] )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = [tex]\frac{20}{15}[/tex] = [tex]\frac{4}{3}[/tex] = 1 [tex]\frac{1}{3}[/tex]

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

[tex]\frac{4}{3}[/tex] + 2y = 6

2y = 6 - [tex]\frac{4}{3}[/tex] = [tex]\frac{14}{3}[/tex] ( divide both sides by 2 )

y = [tex]\frac{7}{3}[/tex] = 2 [tex]\frac{1}{3}[/tex]

what is the answer ​

Answers

Answer:

the answer would be 256 cm squared (the third option)

Step-by-step explanation:

what that person said ^

Traci tries to teach her younger sister how to draw a rectangle. Traci tells her." Draw a shape with four straight sides." Traci sister draws the shape shown. The drawing of the shape includes 4 straight sides, but it is not a rectangle. How can Traci make her directions more clear?

Answers

Answer:

Traci could say draw 2 long parellel sides one on top of another. Then draw 2 smaller sides to connect the long sides.

Step-by-step explanation:

What is the volume of a rectangular pyramid, with a height of 12 in., length of 10 in., and width of 8 in.?

72 in3

200 in3

320 in3

960 in3

Answers

Answer:

320 in ^3

Step-by-step explanation:

V=B*h/3      where B=10*8=80 and h=12

V=80*12/3=320 in ^3

the weather report stated there is a 2/3 chance of rain Wednesday, but is more likely to rain on thursday than on Wednesday.

What is the probability of rain on Thursday?

Answers

Answer:

Any number over 66%, but less than (or equal to) 100%

Step-by-step explanation:

The probability of rain on wednesday is 66.6666% and if it is more likely to rain on thursday, thursday would have to be any number over 66.666%. The probability also has to stay below or equal to 100%.

Solve for x : 2x−3 = 5

Answers

Answer:

x=4

Step-by-step explanation:

2x-3=5

Add 3 to both sides

2x=8

divide both sides by 2

x=4

[tex]2x - 3 = 5 [/tex]

[tex]2x = 5 + 3 [/tex]

[tex]2x = 8[/tex]

[tex]x = 8 \2( transposing known value to one side to get the value of x)[/tex]

[tex]x = 4(bringing it to lowest term)[/tex]

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Answer:

Step-by-step explanation:

Q1) r = 6 ft

Area of semicircle = πr²/2 = 6*6*3.14/2

Area of shape = 6*6*3.14/2 + area of the rectangle attached.

option 2

Q2)  length of the arc = circumference of the circle /2

       =2πr/2

       = 2 * 3.14 * 6 /2

        =12 * 3.14/2 ft

option 1

helpppppppppppppppppppppppppp again 2

Answers

Answer:

500

Step-by-step explanation:

The median is the middle point of the box

Answer:

500

Step-by-step explanation:

The median is the point in the middle of the box.

can you please help me fill this out thanks

Answers

Answer:

30 mm

Step-by-step explanation:

There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.

         2 (3 mm) + 2 (12 mm)

         = 6 mm + 24 mm

         = 30 mm

Answer:

30

Step-by-step explanation:

Since the long side that is blank is the same length of 12 and the short side is the same length of 3.

12+12=24

3+3=6

24+6=30

Please help, I’m so desperate for this answer. I’ve been here for two hours and no one wants to help :/ (find x)

Answers

Answer

i can't see the image can you post it again.

Step-by-step explanation:

Answer:

29 + 64 =x which is 93 for question 2

Step-by-step explanation:

A cylindrical-shaped mug has a diameter of 8 centimeters and a height of 10 centimeters. What is the volume of the mug? Use 3.14 for pi. *
A. 1256 cubic centimeters
B. 502.4 cubic centimeters
C. 2512 cubic centimeters
D. 2009.6 cubic centimeters

Answers

Answer:

C. 2512

Step-by-step explanation:

First,you do

3.14 x 10 x 8

25 12 cubic centimeters

By using the formula for the volume of a cylinder, we will see that the volume of the mug is 502.4 cm^3

How to get the volume of the mug?

For a cylinder of radius R and height H, the volume is:

V = pi*R^2*H

In this case, we know that H = 10cm, and the diameter is 8cm, then the radius is half of that:

R = 8cm/2 = 4cm

Replacing that in the volume equation we get:

V = 3.14*(4cm)^2*10cm = 502.4 cm^3

So the correct option is B.

If you want to learn more about volume, you can read:

https://brainly.com/question/1972490

What is the result of substituting for y in the bottom equation?
y = x + 3
y = x2 + 2x - 4

Answers

Answer:

The correct option is (B).

Step-by-step explanation:

We need to find the result of substituting for y in the bottom equation.

Equation (1) is : [tex]y=x+3[/tex]

Equation (2) is : [tex]y=x^2+2x-4[/tex]

Put the value of y form equation (1) to equation (2) such that,

[tex]x+3=x^2+2x-4[/tex]

It can be seen from the above equation, that option (2) is same as above equation.

Hence, the correct option is (B).

HELP I WILL MARK BRAINLEST

Answers

its only showing "help i will mark brainliest"..?

A restaurant manager wants to know which dish is most popular in his restaurant. Who should the manager survey to best find out what he wants to know? A. employees of the restaurant B. people who eat at his restaurant C. people who eat out at least once a week D. members of his family

Answers

Answer:

B.  People who eat there are likely to return and suggest what is good on the menu to friends and relatives.

Please help What is the value of S4 for
2.48
12.48
16
24

Answers

Answer:

B, 12.48 is the answer

Step-by-step explanation:

Just took the test

Answer:

its b just took the quiz on edge 2020

Step-by-step explanation:

Identify the domain and range of each function.

y = 3 • 5x

Answers

Answer:

I THINK the domain is

Negative infinity to infinity

and I THINK the range is..

0 to infinity

Step-by-step explanation:

im not sure im sorry if im wrong : ) hope this helps

Answer:

Step-by-step explanation:

negative infinity to infinity

0 to infinity

pt2

negative infinity to infinity

3 to infinity

how do I do this math question? Full working/explanation. ​

Answers

Answer:

50g sugar, 100g butter and 400g flour

Step-by-step explanation:

You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.

If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.

That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.

Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.

So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.


What is the slope of the line?

Answers

Zero depending on what axis it’s on

Answer:

It is the change in y for a unit change in x along the line.

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