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.
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.
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]
HEEEEEEEEELLLLLLLLLLLLLPPPPPPPP!!!!!!!!!!!!!!!!
Brainliest to correct answer
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
what is the area of the trapezoid below? 26 m 19 m. 46 m
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.
The value of x is -14. Order these expressions from least to greatest:
x
1−x
x−1
-1x
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
Find the sum of f(4) + g(-5) when f(x) = 4x - 3 and g(x) = -2x + 10
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
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?
Question 1. Is 40
Question 2. Is 10
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?
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.
Check all that apply
Answer:
i think its a,c,e
Step-by-step explanation:
between wich two intergers does √11 lie
Answer:
3 and 4
Step-by-step explanation:
someone help pls n thank you
Answer:
97.4 b)
Step-by-step explanation:
dude ur also right in this question lol
HELP!! Please! I’ll appreciate it!
Find the value of n that makes the equation true.
n+5=n+7
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
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
What is 2/3=1/4 k
The solution to k is
Answer:
8/3 = k IG
Step-by-step explanation:
PLZ MARKK BRAINLIEST
In PITI what does one / stand for?
O A. Inflation
O B. Investment
O C. Interest
O D. Initial
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
What is 8x2/5? (Plz answer fast)
Answer:
fraction: 3 1/5
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.
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:
Answer the ones that are (a) (b) (c) that’s down
Answer:
A -1/2
b 3/-4
C -1/-5
Step-by-step explanation:
Write the number 0.00004 in scientific notation.
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<10.00004 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
Solve the right triangle
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 :)
Helppppp.................
Answer:
-3
Step-by-step explanation:
m=y2-y1/x2-x1
2-5/4-3
-3/1
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
I need help lol ????
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%
pls help with these the perosn with the correct answer will get a brainliest
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
Simplify the expression. Write your answer as a power.
(-4).(-4)
The simplified expression is
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
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?
Answer:
answer: 25/(15+25) ×100
Find x, the missing side length in the right trienagle.
12
X
20
Answer
Answer:
x=16
Step-by-step explanation:
20^2-12^2=256
sqrt256=16
there are rational numbers that are integers / true or false
This is a true statement.
Answer:
True
Step-by-step explanation:
hope it helps
If Molleigh had 40 apples and she had to have 2 times the she would have?
Answer:
80
Step-by-step explanation:
40 x 2 = 80 :)
Jason ordered a set of beads. He received 90 beads, and 80% of them were red. How many
red beads did Jason receive?
