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.
Lindsay got her haircut the cost of a haircut for $16 if she wants to tip for hairstylist 20% how much does she leave for the tip
Answer:
$3.20
Step-by-step explanation:
I hope this helps.
Sorry if I'm wrong.
the question is on the photo anyone pls help
Answer:
3 inches per hour
Step-by-step explanation:
hope this helps
What's 65-70 days in weeks
Answer:
About 9-10 weeks
Step-by-step explanation:
70/7= 10
Answer:
9-10
Step-by-step explanation:
Calculate
√6x√20 divided by
√3
Give your answer in the form a√b where a and b are integers, and b is as small as
possible.
Answer:
(√6x√20) / √3 = 2√10
Step-by-step explanation:
hello :
(√6x√20) / √3 =√2x√3 x√4x√5 / √3
because : √6 = √2x√3 and √20= √4x√5 = 2x√5
now simplify by √3 :(√6x√20) / √3 =√2x2x√5
(√6x√20) / √3 = 2√10 so : a =2 and b =10
If the measure of the angles in a triangle are in the ratio 3:4:5, the measure of an exterior angle of the triangle can not be
Answer:
I would use photomath if you cant find your answer.
Step-by-step explanation:
which of the following represents 2/5 divided by 3/8
speed of light is approximately 3x10^8 meters per second. While solving a problem,
Cara used 3x 10^10 meters per second for the speed of light and got the incorrect answer.
By which factor should Cara multiply her answer in order to get the correct answer?
Write a quadratic function that has been translated 1
units to the right and 3 units down.
Step-by-step explanation:
Hi,
f(x) = (x - 1) - 3
The -1 is the 1 unit to the right (even though it's being subtracted, it's going to the right because it's embedded with the x)
And the -3 is not embedded with the x, meaning the function will move 3 units down.
I hope this helps :)
An isosceles triangle has sides of length 12.4, 12.4, and 17. Find the measure of the vertex angle.
Answer: 13
Step-by-step explanation:
Angles in triangles
Question is in the photo
Answer:
JSJXJX
Step-by-step explanation:
CF<DC<DE<DF<FE
Find the GCF. (Greatest Common Factor) Use^ to show exponents if
needed. *
3x5 + 6x + 6
Answer:
the greatest common factor is 3
An animal shelter spends $2.50 per day to care for each bird and $4.00 per day to
care for each cat. Noah noticed that the shelter spent $52.00 caring for birds and cats
on Friday. Noah found a record showing that there were a total of 19 birds and cats
on Friday. How many birds were at the shelter on Friday?
Answer:
19 birds where there on Friday
Halp plzzz i need help finding the angle
Answer: The answer to what is the measure of angle x is 48°.
Step-by-step explanation: It’s because this angle is complementary Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Example: 5° and 85° are complementary angles.
48°+42°=90° and this is a right scalene triangle.
AND D IS 2 1/8
THIS IS ASAP PLS ANSWER ASAP
Answer:
C
Step-by-step explanation:
V=whl
=1.5*2*1.25
=3.75
6. Alicia has a friend at work who is selling a used Honda. The car has 60,000 miles
on it. Alicia comparison shops and find these prices for the same car.
a. Find the mean price of the 5 prices listed.
b. How many of these cars are priced below the mean?
Prles
$22,500
$19,000
$17,000
$17,800
$16,900
c. Find the median price?
d. How many of these cars are priced below the median?
please i need help...................plz
Answer:
a = 10/1343 = 0.007
b = 500/199 = 2.513
c = 1/3 = 0.333
d+3,567-(0*d)=0
Step-by-step explanation:
A trapezoid has bases of 20 inches and 30 inches. The height of the trapezoid is 15 inches. What is the area of the trapezoid in square inches? in2
Answer:
375in^2
Step-by-step explanation:
area of a trapezoid is base + base divded by 2 then times that by the height
20 + 30 = 50
50/2 + 25
25 x 15 = 375
plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
[tex]h(t)=-16t^2+132t+108[/tex]
Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:
[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]
The maximum height of the ball is 380.25 feet in the air.
Please help I’ll make you the brainiest
Answer:
Jesse is correct
step by step explanation:
Answer:
The best bet would be Jesse.
Step-by-step explanation:
Is -5, 12, 29, 46 an arthmetic sequence
Answer:
Yes
Step-by-step explanation:
I don’t understand how this works?
Please help, thanks.
Answer:
(B) Is the answer here
Step-by-step explanation:
Well a function’s domain can’t repeat no matter what.
Domain is X.
So the first one doesnt work since it repeats to every single digit that exists.
The second one works becuase the domain aren’t repeated and the range being repeated (or known as y) is but that deosn’t matter.
Answer:
B
Step-by-step explanation:
Hello There!
In order for the relations to be a function the x values may not repeat
For answer choice A the x value -2 repeats multiply times therefore the relation is not a function
For answer choice B each x value has a different y value so this might be our answer but just to be safe lets look at the other answer choices
For answer choice C the x values -3 and 2 repeat therefore it is not a function
For answer choice D the x value 2 repeats therefore the relation is not a function
So we can conclude that the correct answer is B
give 4 rational number between 1/2 and 3/4
Answer:
11/20
3/5
7/10
13/20
Step-by-step explanation:
A rational number is a number that can be derived by dividing 2 whole numbers
1/2 = 0.5 0r 50%
3/4 = 0.75 75%
Between 50% and 75% are 51 - 74 which can be expressed as rational numbers
3/5 = 0.6
7/10 = 0.7
11/20 = 0.55
13/20 = 0.65
Find the area of the bedroom with the shape shown in the figure, in square feet.
Answer:
144 because I did 34+12+14+7 and that is what I got
Step-by-step explanation:
Edwin buys a painting of the beach online for $23. If shipping and handling are an additional 30% of the price, how much shipping and handling will Edwin pay?
Answer:
$6.90
Step-by-step explanation:
23/100 X 30 = $6.90
Sophie invested 5,000 into an account that will increase in value by 2.3% each year. Write a function to model this situation, then find the value of the investment after 15 years
Answer:
$6725
Step-by-step explanation:
Given data
Princiapal= $5000
Rate=2.3%
Time= 15years
The function that will model this situation is given as
A=P(1+rt)
The above function is a simple interest function
Substitute our data we can find the amount A
A=5000(1+0.023*15)
A= 5000(1+0.345)
A=5000(1.345)
A=5000*1.345
A=$6725
Hence the value of the investment after 15 years is $6725
Jenny runs a daycare center and charges $60 per day for each child. There are currently 50 children enrolled at the daycare. At a recent conference, Jenny was advised to lower her rates in order to stay competitive in her area. For each price decrease of $4 per day, the number of children enrolled at the center increases by two.
Write the equation that can be used to determine the number of price decreases, x, in dollars, for which the daycare center has a daily revenue of $2,800.
A.
(60 - 4x)(50 + 2x) = 2,800
B.
(60 + 4x)(50 - 2x) = 2,800
C.
(60 - 2x)(50 + 4x) = 2,800
D.
(60 + 2x)(50 - 4x) = 2,800
Answer:
Step-by-step explanation:
D
Bob flipped a coin and got “heads” 9 times in a row! What is the probability that’s the next flip will be a “head”?
Answer:
50/50 chance
Step-by-step explanation:
A coin only has 2 sides so when you flip it you will always have a 50/50 chance of landing on heads or tails
According to the American Academy of Ophthalmology, 25% of Americans have brown irises. A random survey of students at a local community college found that 58 out of 175 had brown irises. What is the test statistic (ie the Z score) for this sample of students
Answer:
2.49
Step-by-step explanation:
Given X= 58
N = 175.
P = 25% = 0.25.
[tex]P' = \frac{X}{N} = \frac{58}{175} = 0.3314\\Z = \frac{P'-P}{\sqrt{\frac{pq}{N} } }[/tex]
Now plugging the values we get
[tex]= \frac{0.3314-0.25}{\sqrt{\frac{0.25\times0.75}{175} } }[/tex]
=2.49
Can I get help with this problem please?
Answer:
B
Step-by-step explanation:
To find the y- intercept let x = 0
From the table for f(x)
When x = 0 → f(x) = - 4
That is the y- intercept = - 4
Given
g(x) = 3 [tex](2)^{x}[/tex]
let x = 0 , then
g(0) = 3 [tex](2)^{0}[/tex] [ [tex]2^{0}[/tex] = 1 ]
= 3 × 1
= 3
That is the y- intercept = 3
Thus the y- intercept of g(x) is greater → B
Find the solutions of the equation f(x)=(x+3)(x-b)
A: 3 and -b
B: 3 and b
C: -3 and -b
D:-3 and b