He price of a computer component at the QRCC bookstore is decreasing at a rate of 2.25% per year. Decide whether this decrease is linear or exponential.

Answers

Answer 1

Answer:

The decrease is exponential.

Step-by-step explanation:

An exponential decrease is something like:

f(x) = A*(r)^x      with 0 < r < 1

A linear decrease is something like:

g(x) = -a*x + b               with a > 0

First ai general formula.

If you have a quantity Q, decreased by an X%, the new quantity will be:

New Quantity = Q - Q*(X%/100%)

Now let's look at the question:

Suppose that the original price of the computer component is K

And the price as a function of the year is P(y)

Then we know that, in the year zero, the price is K.

P(0) = K

One year after, the price decreases by 2.25%

Then:

P(1) = K - K*(2.25%/100%) = K*(1 - 0.0225)

After another year, we will have another decrease of 2.25%

Then:

P(2) =  K*(1 - 0.0225) -  K*(1 - 0.0225)*(2.25%/100%)

P(2) = K*(1 - 0.0225)*(1 - 0.0225) = K*(1 - 0.0225)^2

We already can see the pattern, we can expect that in the year y, the price of the component will be:

P(y) = K*(1 - 0.0225)^y

This clearly is an exponential decrease.


Related Questions

Answer the ones that are (a) (b) (c) that’s down

Answers

Answer:

A -1/2

b 3/-4

C -1/-5

Step-by-step explanation:

If Molleigh had 40 apples and she had to have 2 times the she would have?

Answers

Answer:

80

Step-by-step explanation:

40 x 2 = 80 :)

HEEEEEEEEELLLLLLLLLLLLLPPPPPPPP!!!!!!!!!!!!!!!!
Brainliest to correct answer

Answers

Answer:

a) 4d^2

b) 4 16 1

Step-by-step explanation:

b)

4×1×1=4

4×2×2=16

4×1/2×1/2=1

In PITI what does one / stand for?
O A. Inflation
O B. Investment
O C. Interest
O D. Initial

Answers

Answer: C. Interest

Step-by-step explanation: just took the quiz.

I stand for Interest in PITI.

What is Interest?

Interest is the price you pay to borrow money or the cost you charge to lend money.

Interest is most often reflected as an annual percentage of the amount of a loan.

Capital, interest, taxes and insurance, known as PITI (for its acronym), are the four basic elements of a monthly mortgage payment.

Capital and interest payments are used to pay the loan. The amount covered by the property tax and home insurance can be deposited in an escrow account or escrow account, if you are required to have one or have decided to open it, in order to cover the payments of such property taxes and homeowners insurance. housing as they expire.

Hence, I stand for Interest in PITI.

Learn more about Interest click;

https://brainly.com/question/30393144

#SPJ7

someone help pls n thank you

Answers

Answer:

97.4 b)

Step-by-step explanation:

dude ur also right in this question lol

97.4 i think you got this you seem smart

Help quickly!!
A class of 50 students elected a class president.
Candidate A received 15 votes.
Candidate B received 25 votes.
The remaining students did not vote.

Which expression gives the percent of voters who voted for Candidate B?

Answers

Answer:

answer: 25/(15+25) ×100

Check all that apply

Answers

Answer:

i think its a,c,e

Step-by-step explanation:

there are rational numbers that are integers / true or false

Answers

This is a true statement.

Answer:

True

Step-by-step explanation:

hope it helps

Simplify the expression. Write your answer as a power.
(-4).(-4)
The simplified expression is

Answers

Answer:

(-4).(-4) = 4^2

Step-by-step explanation:

First, some rules that we need to remember:

if A is a positive number, then:

-A = (-1)*A

Also:

A*A = A^2

We also should remember that we can multiplicate in any order we want, this is:

A*B*C = (A*B)*C = A*(B*C)

And we also can change the order of the numbers:

A*B = B*A

And finally, we need to remember the sign rules for multiplication.

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

Ok, now let's look at our expression.

(-4)*(-4)

First, we can rewrite this as:

( (-1)*4)*((-1)*4)

And we can rearrange the numbers to:

(-1)*(-1)*4*4

Now let's multiplicate the first two ones, because of the sign rule, we know that the outcome will be positive, and 1 times 1 is equal to 1,

(-1)*(-1) = 1

Then:

(-1)*(-1)*4*4 = 1*4*4 = 4*4

And we know that when a number is multiplied by itself we can rewrite it as:

4*4 = 4^2

Then:

(-4).(-4) = 4^2

The simplified expression is 4^2

between wich two intergers does √11 lie​

Answers

Answer:

3 and 4

Step-by-step explanation:

Let p(x)=90/9+50e^−x.

What is p(−2)?



Enter your answer, rounded to the nearest tenth, in the box.

Answers

p(x) = 90 / (9 + 50 * e^(-x))

e = 2.718, so we can use e = 2.7 as a quick substitute

p(3) =>

90 / (9 + 50 * e^(-3)) =>

90 / (9 + 50 * 2.7^(-3)) =>

90 / (9 + 50 / 2.7^3) =>

90 / ((9 * 2.7^3 + 50) / 2.7^3) =>

90 * 2.7^3 / (9 * 2.7^3 + 50)

2.7^3 =>

(27/10)^3 =>

27^3 / 1000 =>

729 * 27 / 1000 =>

2187 * 9 / 1000 =>

6561 * 3 / 1000 =>

19683 / 1000 =>

19.683

90 * 2.7^3 / (9 * 2.7^3 + 50) =>

90 * 19.683 / (9 * 19.683 + 50)

9 * 19.683 =>

9 * (20 - 0.317) =>

180 - 9 * 0.317 =>

180 - 9 * 0.3 - 9 * 0.017 =>

180 - 2.7 - 9 * 0.01 - 9 * 0.007 =>

177.3 - 0.09 - 0.063 =>

177.3 - 0.153 =>

177.15 - 0.003 =>

177.147

90 * 19.683 / (9 * 19.683 + 50) =>

10 * 177.147 / (177.147 + 50) =>

1771.47 / 227.147 =>

1771470 / 227147 =>

1770000 / 225000 =>

1770/225 =>

4 * 1770 / 900 =>

4 * 177 / 90 =>

708/90 =>

70.8 / 9 =>

23.6 / 3 =>

(21 + 2.6) / 3 =>

7 + 0.866666.... =>

7.8666666...

Actual value:  7.8333389811057471507345888320992.....

Not bad for some estimates, is it?

Answer: This is the correct answer I just took the test

Step-by-step explanation:

Jason ordered a set of beads. He received 90 beads, and 80% of them were red. How many
red beads did Jason receive?

Answers

72 red beads, because that is 80% of 90

Write the number 0.00004 in scientific notation.

Answers

Answer:

4.0 x 10^-5

Step-by-step explanation:

Answer:

4*10^-5

Step-by-step explanation:

Start by counting the zeros to the right of the decimal if 0<x<1. Stop when you hit a digit between 1 and 9Add 1 to the number of zerosThis is the powerExpress the number as one between 1 and 9 The power is changed to a negative, if 0<x<1

0.00004 has 4 zeros. Add 1 = 5

The power on 10 becomes negative (-5)

4 is a number between 1 and 9 inclusive.

4 * 10^-5

pls help with these the perosn with the correct answer will get a brainliest

Answers

Answer:

17 and 20

Step-by-step explanation:

omg I can't explain it took much time to solve I've got no time

im so sorry

Solve the right triangle

Answers

Answer

measure of angle A: 28 degrees

BC ≈ 13.3

BA = 28.3

hope this helps

Step-by-step explanation:

angle A

90- 62 = 28

angle A = 28

BC

tan (A) = BC / 25

(25) tan 28 = BC / 25 (25)  multiply 25 on both sides to cancel it out from BC

13.292735 = BC

BC ≈ 13.3

BA

BA^2 = 13.3^2 + 25^2  Pythagorean theorem

BA ≈ 28.3

If any of these are wrong, just follow the steps and make sure to use Ans in the calculator instead of rounding your numbers! Good luck :)

I need help lol ????

Answers

Answer:

Step-by-step explanation:

1.

x/50= 84/100

x= 4200/100

x= 42

Needed to score a 42/50 to get an 84%

2.

x/75 = 96/100

x= 7200/100

x= 72

Needed to score a 72/75 to get a 96%

The value of x is -14. Order these expressions from least to greatest:
x
1−x
x−1
-1x

Answers

Answer:

X, -1X, X-1, 1-X

Hope this helps

Answer:

x−1

x

-1x

1−x

Step-by-step explanation:

x = -14

1−x = 15

x−1 = -15

-1x = 14

what is the area of the trapezoid below? 26 m 19 m. 46 m

Answers

Answer: 684!

Step-by-step explanation: A= (b1+b2)h divided by 2, base one is 26, base twow is 46, and height is 19, b1 is base one b2 is base 2 , and h is height.

Your answer:

Your answer is 684

Mrs. King has earned a pay increase. Her starting salary
was $36,000. Her new salary is 110% of her starting salary.
What is her new salary?
PLEASE HELP ASAP

Answers

Answer: $39,600
Explanation: In the problem, the word “of” is given and this word can be taken as multiplication. So, 110% or 1.1 multiples by Mrs. King’s original salary ($36,000). This will give you her new salary as $39,600.

HELP!! Please! I’ll appreciate it!

Answers

I think a would be the correct answer

What is 2/3=1/4 k

The solution to k is

Answers

Answer:

8/3 = k IG

Step-by-step explanation:

PLZ MARKK BRAINLIEST

Find the value of n that makes the equation true.

n+5=n+7

Answers

Answer:

No solution

Step-by-step explanation:

Answer:

There's not a value of n so that n + 5 = n + 7

Step-by-step explanation:

if n + 5 = n + 7, then:

subtract 5 from each side of the equation:

n = n + 2 which does not have a solution for n

Find the sum of f(4) + g(-5) when f(x) = 4x - 3 and g(x) = -2x + 10 ​

Answers

Answer:

33

Step-by-step explanation:

f(4) = 4(4) - 3 = 16 - 3  =  13

g(-5) = -2(-5) + 10  =  10 + 10  =  20

13 + 20 = 33

Helppppp.................

Answers

Answer:

-3

Step-by-step explanation:

m=y2-y1/x2-x1

2-5/4-3

-3/1

-3/1 plug in the points
M=2-5/4-3
M=-3/1

Find x, the missing side length in the right trienagle.
12
X
20

Answer

Answers

Answer:

x=16

Step-by-step explanation:

20^2-12^2=256

sqrt256=16

What is 8x2/5? (Plz answer fast)

Answers

Answer:

fraction: 3 1/5  

Step-by-step explanation:

A cylinder has a radius of 2x + 3 and height of 3x + 2. Which polynomial in standard form best describes the total volume of the cylinder? Use the formula V= πr^2h for the volume of a cylinder.

Answers

Answer:

[tex]v = \pi {r}^{2} h \\ v = \pi {(2x + 3)}^{2} (3x + 2) \\ v = \pi(4 {x}^{2} + 12x + 9)(3x + 2) \\ v =( 12 {x}^{3} + 36 {x}^{2} + 27x + 8 {x}^{2} + 24x + 18)\pi \\ v =( 12 {x}^{3} + 44 {x}^{2} + 51x + 18)\pi[/tex]

What is the multiplier? *
х y
0 0.01
1 0.005
2 0.0025
3 0.00125

options:
a) 2
b) 5
c) 1/5
d) 1/2

Answers

The answer is d) 1/2

Mark had a ratio of 4 misses to 3 makes when he shot free throws in the last game. If he maintains this ratio, how many free throws will he make if he shoots 154 total free throws?

Answers

Answer:

88 misses / 66 makes

Step-by-step explanation:

Mark's ratio consists of 4+3=7 total shots.

154 shots would be 22*7 since the ratio would remain proportional

Therefore, (22*4)/(22*3)=88/66 will be the ratio of free-throw misses to makes. This means Mark will make 88 misses and 66 makes if he does 154 total free throws.

You're making lemonade A website indicates to use 4 parts water for every 1 lemon and 2 cups of sugar
if you use 20 cups of water, how much sugar do you need?
2nd question: if u want to make lemonade with 2 lemons how much water would you need?

Answers

Question 1. Is 40

Question 2. Is 10

Other Questions
Describe the probability of getting a numbered card from a deck of cards. hey there! So i been wanting to learn and observe peoples reactions, emotions, etc. Do you guys have any tips or any websites and such? 9. Choose the best answer.Dead and decaying matter is eaten by __________.secondary consumerprimary consumerproducersdecomposers Describe Mexico's form of government and one big event discussed in the reading concerning the government. What issue was at the heart Sweatt v. Painter? cell therory state that all living things are composed of cells, and are the basic units of life. Why do scientists refer to it as cell theory instead of cell hypothesis? A Since we haven't checked every organism for ourselves, we cannot call it hypothesis.B It explains what happens in cells, so it cannot be a hypothesis.C All of the evidence collected supports the idea of why we believe thisD It is an idea that is held by more than just one scientist PLZ help Throughout history there have been constant changes of what is considered to be sexually deviant behavior. Are there any sexual behaviors that are now considered "deviant" that may become accepted sexual practices in the future? Give examples and explanations as to why you think these practices will be considered mainstream in the future. Which of the following best describes the United States? O It has a market economy with no government regulation. This is the only system that can work with a government run by the people O it has a command economy. A large nation like the United States needs the government to control all growth of business to prevent problems O It has a traditional economy. Most communities are focused on providing their own needs with the resources available in the local area O it has a mixed economy. The government protects individual rights, such as minimum pay for work and choices in goods and services Help me plz thank you Why did abolitionists protest the "gag rule" of 1836?It prevented abolitionists from speaking against slavery.It prevented abolitionists from speaking against slavery.It silenced congressional debate about slavery.It silenced congressional debate about slavery.It attempted to ban abolitionist ideas in Missouri.It attempted to ban abolitionist ideas in Missouri.It banned attacks against slavery in newspapers., It banned attacks against slavery in newspapers. , ,Skip to navigation Which Spanish word or phrase best completes this dialogue?Me gusta correr. _____ deportista.A. SoyB. No soyC. EsD. No es Somebody was: robbed killed cheated proven to be guilty What is a obtuse angle? Which statement describes watersheds? They are home to many plants and animals.They are dangerous flood zone habitats.They are not affected by how land is used by humans.They are contaminated and cannot be used for drinking water. If members of a population have a variety of traits, it is(1 point) A. more likely that most of the members will have traits that let them survive and reproduce. B. less likely that some of the members will have traits that let them survive and reproduce. C. less likely that most of the members will have traits that let them survive and reproduce. D. more likely that some of the members will have traits that let them survive and reproduce. Select the chore that best describes this image..lavar la ropaOB. limpiar la casaOC lavar los platosOD. barrer el piso What mistake did Andy make ? Convert each percent into a fraction and decimal:133 1/2%87 1/3%0.01%8 1/3% A food chain starts with a _____________ source. Change the sentence from singular to plural.La mesa es grande.