The price of a computer component is decreasing at a rate of ​10% per year. State whether this decrease is linear or exponential. If the component costs ​$ 110 today, what will it cost in three​ years?

Answers

Answer 1

Answer:

The cost in 3 years is $80.19.

Step-by-step explanation:

The cost of computer component is $110 today.

The cost is decreasing at a rate of 10% per year.

When it decreases by 10% per year then it is exponential.

Initial cost is $110. When it decreases 10% per year, the decay factor is 1-0.10 =0.90.

So, we could use the exponential formula y=[tex]ab^{x}[/tex]

Where 'a' is initial cost and b is decay factor.

Our equation would by plug in 'a' as 110 and 'b' as 0.90.

We get

[tex]y= 110(0.9)^{x}[/tex]

Now, to find the cost in 3 years, use x as 3.

[tex]y=110(0.9)^{3}[/tex]

Which is simplified to

y=$80.19


Related Questions

What is the x-intercept of the Cubic Function shown below?


A(1,0)
B(0,1)
C(1,7)
D(7,1)

Answers

A (1,0) is the correct answer.

What is the surface area of the right prism given below?
O A. 298 units2
OB. 840 units2
O C. 480 units2
O D. 420 units2

Answers

Answer:

480 units^2

Step-by-step explanation:

5 * 12 =  60

13 * 14 = 182

12 *14 =  168

5 * 14 =  70

            480

The surface area of the given prism will be 480 square units so the correct answer is option C.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The triangular prism is having 6 surfaces so the surface area will be the sum of the area of all the sides of the prism.

The area of all the sides of the prism will be calculated as follows:-

5  x 12 =  60

13 x  14 = 182

12 x 14 =  168

5  x  14 =  70

The total surface area of the prims will be:-

SA of prism = 60 + 182 + 168 + 70 = 480 square units

Therefore the surface area of the given prism will be 480 square units so the correct answer is option C.

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Sahai took $40 to the local carnival. The entrance fee to get into the carnival cost X dollars. Sahai paid for 5 people (including herself) to get into the carnival. Write an expression that represents the amount of money, in dollars, that Sahai had after she paid for the entrance fee for the 5 people.

Answers

Answer:

40-5x

Step-by-step explanation:

Sahai starts with 40 and loses 5 times the entrance fee, which is represented by x. So, 40-5x is the expression

f= -r + 4/3 b
find b
submit answer

Answers

Answer:

b=[tex]\frac{3f}{ 4} + \frac{3r }{ 4 }[/tex]

Step-by-step explanation:

i have to find the mean and range of this data set and show work.
data set: 49,50,52,58,61,63,66,67,67,68

Answers

Answer:

61 is the mean and the range is 19

Step-by-step explanation:

trust

Mean = [tex]60.1[/tex] and Range = [tex]19[/tex]  for the given set of data.

What is Mean?

"Mean is the average set of all the given values."

What is Range?

"Range is the difference between highest and the lowest value."

Formula

Mean = [tex]\frac{Sum of all the observations}{Total number of observations}[/tex]

Therefore, Mean = [tex]\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}[/tex]

                            = [tex]\frac{601}{10}[/tex]

                            = [tex]60.1[/tex]

Range = Max (x) - Min (x)

            =  [tex]68 - 49[/tex]

            = [tex]19[/tex]

Hence, the Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given data set.

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following data, what would be the value of x?

Answers

Answer:

The answer is C. 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

question please

The Gonzalez's updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6.5% sales tax on their purchases. If the Gonzalez's paid $351.72 total, determine if they paid the correct amount.

Answers

Answer:

Not exactly

Step-by-step explanation:

Cost lamp = $89.95Cost of comforter set = $239.99Sales tax = 6.5%

Total payment:

($89.95 + $239.99)*1.065 = $351.39

Total amount is a little different:

$351.72 vs $351.39

If the m =1/2 and the b = -2, then the linear equation is

Answers

Answer: y=  1/2x - 2

Step-by-step explanation:

y= mx+b

m= 1/2 (plug it in)

b= -2 (plug it in)

x= ?

Please help!! And show work please! I'll give brainlist..!

Answers

what you put is correct because two negatives make a positive so it would be 5 + 7 making it the greatest value

Suppose Adriana spends $ 73.00 dollars on T-shirts and pants. A T-shirt costs $5.50 and pants cost $25.50. This is an equation in two variables. What would be a solution (to the variable) above if she buys 2 pair of pants.

Answers

Answer:

She spent 51 dollars on pants and 22 on t-shirts so she bought 4 shirts

Step-by-step explanation:

help please? 26x-2(3x+4y)-10y

Answers

Answer:

20x-18y

Step-by-step explanation:

26x-2(3x+4y)-10y

26x-6x-8y-10y

20x-18y go doawnload the app photomath its a great tool

how are the triangles congruent ?

AAS , AA , ASA , SAS , or Not enough information

Answers

I have the answer. The answer is AAS

can someone please help me

Answers

the answer is 2p - 4 :)

Answer:

I think it's -2p or 2p-4

5x+6=2x+15 solve for x

Answers

Answer:

the answer is:

5x - 2x = 15 - 6

3x = 9

x = 3

HELPPP please please please

Answers

Answer:b

Step-by-step explanation:

Find the measure of angle abc

Answers

I think it’s B: 20 but I could be wrong. I just added it all up together

Answer:

The answer is 9!

Step-by-step explanation:

Ik this is late but for people in the future, the answer is definetly 9.

180 = 6x + 6x + 8x

Now substituting 9 in for the x values;

180 = 6(9) + 6(9) + 8(9)

180 = 54 + 54 + 72

180 = 180

BYE!

I need a quick asnwer!!!

Answers

Answer:

third one

Step-by-step explanation:

Answer:

Its the third one you welcome

Step-by-step explanation:

HURRY PLEASE!!! 10 MINUTES!!!!!!!!!!

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and proposes two methods for collecting data. Method 1: As golfers approach the first tee, give some golfers wrist bracelets with magnets and some golfers wrist bracelets without magnets. During the round of golf, keep track of the length of the golfers’ shots. Method 2: Contact golfers who have purchased wrist bracelets with magnets and ask them to provide information about their shot length. Which statement about these methods is true? Method 1 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it does not attempt to influence responses. Method 2 is an observational study because it could include golfers from many golf courses. Both methods are observational studies because they both collect information about shot length.

Answers

Answer:

I think it is D

Step-by-step explanation:

Answer:

C

EDGE

Step-by-step explanation:

Penny reads 10
pages in
hour. What is the unit rate for pages per hour? For hours per page?
The unit rate is 30 page(s) per hour.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)
The unit rate is hour(s) per page.
(Simplify your answer. Type an integer, proper fraction, or mixed number.)

Answers

Answer:

Hr/p is 1/30 Or 1hr every 30pg

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

A triangle has sides of lengths 9,7, and 12. Is it a right triangle? Explain.

Answers

Answer:

A triangle has sides of lengths 9,7, and 12 is not a right triangle .

if a snail crawls 12 centimeters per hour, how long will it take for the snail to travel 1 meter?

Answers

Answer:

8 1/3 hours : )

Help me find the slope please

Answers

Pick two points
(2, 18) and (4,21)
(21-18)/(4-2) = 3/2
The slope is 3/2

Write an equation in Slope intercept form of the line that passes through the given points (-3,4) (1,4)

Answers

answer would be “y=4”

to find the answer: first you have to find the slope with the given points. (y2 - y1 / x2 - x1)

plug it in to get: (4-4 / 1- -3) = 0/4 = 0

this means the slope would be 0

if the y intercepts are the same then it usually indicates that the slope would be 0 and that the answer is the y intercept.. but if you don’t understand how to get slope-intercept using other coordinates then here’s how:

you can use point-slope formula (y-y1 = m (x-x1) in order to do this just plug in one of the coordinates. in this case an example of point-slope form would be:
y-4 = 0 (x - -3) or y-4 = 0(x-1)

it doesn’t matter which coordinates you use..

then solve the point slope for slope-intercept.

y-4 = 0(x-3) multiply 0 with x and -3
y-4 = 0x move -4 to the right by adding 4

y = 0x + 4 or y = 4 would be your answer!

The equation for the line that passes through the point A ( -3 , 4 ) and

B ( 1 , 4 ) is y = 4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first point be A ( x₁ , y₁ ) = A ( -3 , 4 )

Let the second point be B ( x₂ , y₂ ) = B ( 1 , 4 )

Now ,

The equation for the line is given by

y - y₁ = m ( x - x₁ )

To find the slope of the line ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

m = ( 4 - 4 ) / 1 - ( - 3 )

m = 0

So , the slope of the line is 0

Now ,

The equation of line will be

y - 4 = 0 ( x - ( -3 ) )

y - 4 = 0

Adding 4 on both sides , we get

y = 4

So , the equation of the line is y = 4

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10=h/2+8 solve, its for algebra 1

Answers

Answer:

Subtract 8 from both sides which lead it to 2=h/2, then multiply two for each side then it turns to 4=h

f(x) = 2x - 4
f(3) = [?]

Answers

2 would be the answer. Replace the x with the three and multiply that with the 2 and then subtract 4.
2(3)-4 =2 very simple replace x with 3

Can someone please explain to me how to calculate your GPA and also on how to find out what your total grade points is... I stay confused

Answers

Answer:

Here is the explanation of how I was taught to do it :)

Step-by-step explanation: In its easiest form, an A=4, B=3, C=2, D=1, F=0.

If the class is 2 credit.......Multiply each numeric grade value by the number of credits the course was worth

Add these numbers together

Divide 45 by the total number of credits you took, in this example,13.

Your Weighted by Credit Hour GPA = 3.46

It depends on your school. Sorry this was not the most clear, I was taught like 2 years ago, and now I kinda forgot but hopefully this helps a lil dont get mad :)

I am super confused


A small aquarium holds 70% as much as a large aquarium. If the small aquarium holds 35 liters, how many liters does the large aquarium hold?

Answers

Answer:

50

Step-by-step explanation:

so in other words, 35 is 70% of something. So you can divide 35 by 0.7 to get your answer.

Answer:

24.5 litres I guess is the answer for the question

what is 4j+8=56 full answer

Answers

Answer:

j=12

Step-by-step explanation:

hope this helps

The two lines representthe amount of water, over time, in two tanks that are the same size. Which container is filling more quickly? Explain how you know.

Answers

Answer:

no picture sorry but if either tanks line goes higher than the other than its filling faster

Step-by-step explanation:

What are the solutions of x2 + x = 11

Answers

Answer:

x = 11/3

Step-by-step explanation:

x2 + x = 11

Combine like terms

3x = 11

Divide both sides by 3

x = 11/3

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