Answers
Answer:
b) - 10
Step-by-step explanation:
Average rate of change:To find the average rate of change, we have divide the change in y of f(x) , by the change in x(input).
[tex]\sf \boxed{\text{\bf Average rate of change = $\dfrac{f(b)-f(a)}{b-a}$}}[/tex]
a = 4 ; f(a) = -17
b = 6 ; f(b) = -37
[tex]\sf Average \ rate \ of \ change = \dfrac{-37-[-17]}{6-4}[/tex]
[tex]\sf =\dfrac{-37+17}{2}\\\\=\dfrac{-20}{2}\\\\=-10[/tex]
Related Questions
Jonathon saves $4,000 at the end of each quarter for 10 years. Assume 12% compounded quarterly and find the present value.
A. $35,008.24
B. $92,459.08
C. $105,623.10
D. $88,459.08
Kaitlyn hopes to attend a college where tuition is $24,000 per year. She believes that tuition will increase at 4% for the 3 years until she plans to enter college. Find the quarterly payments needed to accumulate funds to pay the first year’s tuition if funds earn 8% compounded quarterly.
A. $1,597.20
B. $34.05
C. $2,012.87
D. $2,561.30
Answers
Answer:
Results are below.
Step-by-step explanation:
1. First, we need to calculate the Future Value:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
n= 10*4= 40
i= 0.12/4= 0.03
FV= {4,000*[(1.03^40) - 1]} / 0.03
FV= $301,605.04
Now, the present value:
PV= FV/(1+i)^N
PV= 301,605.04/(1.03^40)
PV= $92,459.09
2. First, we need to calculate the value of the first year of college:
FV= PV*(1+i)^n
FV= 24,000*(1.04^3)
FV= $26,996.74
Now, the quarterly payments:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
i= 0.08/4= 0.02
n= 3*4= 12
A= (26,996.74*0.02) / [(1.02^12) - 1]
A= $2,012.87
how many square yards of carpet are needed to completely cover a rectangular floor that measures 15 feet by 9 feet?
Answers
Answer:
0.6
Step-by-step explanation:
bro please help me ill give brainliest to the first one to answer correctly. its for some iready assessment
Answers
Explanation : trust me bro
Answer:
The answer should be B
Step-by-step explanation:
Car A traveled farther at the same rate as Car B but A travelved more so the answer is B
20-20+3847x1,00,000,000=?
Say #relatable if this is you
Answers
Answer: 384,700,000,000
Step-by-step explanation:
Answer:
20-20+3847x1,00,000,000 =
348699999982
Step-by-step explanation:
lol not me
is (3,8) a solution to this system of eqautions?
y=7x+8
y=x+1
Yes or No?
Answers
Answer:
Step-by-step explanation:
plug the numbers in and see if it is true
x=3, y=8
y=7x+8
8=7(3)+8
8=29
is not true, so it is not a solution. even if it might be a solution for the other equation, it is not true for this equation so it is not a solution for this system
how to find an equation: since y=7x+8 and y=x+1, then
7x+8=y, and y=x+1
7x+8=y=y=x+1
7x+8=x+1
6x+8=1
6x=-7
x=-7/6
y=x+1
y=-1/6
solution: (-1 1/6, -1/6)
i need help with #4 please help
Answers
Answer:
12b-8+12b-8+9b +8=33b-8
How can you tell how many solutions a linear equation will have by looking at the equation?
Answers
Answer:
A system of two equations can be classified as follows
Step-by-step explanation:
If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
what is 6% of $4100.
Answers
Answer:
$246
Step-by-step explanation:
Instant brainliest please help.
Answers
Answer:the second one
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 50 POINTS !! DONT SKIP :((.
Answers
Answer:
Step-by-step explanation:
m= 25 and b= 450
y= 25x+450
I believe proportional
positive slope
please correct me if I am wrong
In a population of 400,000 people, 160,000 are infected with a virus. After a person becomes infected and then recovers, the person is immune (cannot become infected again). Of the people who are infected, 4% will die each year and the others will recover. Of the people who have never been infected, 15% will become infected each year. How many people will be infected in 4 years
Answers
Answer:
Number of people that will be infected in 4 years is 252,610.
Step-by-step explanation:
The number of people that will be infected in 4 years can be calculated as follows:
Number of people that will be infected in year 1 = 160,000
Number of people that will not be infected in year 1 = 400,000 - 160,000 = 240,000
Number of people that will be infected in year 2 = Number of people that will not be infected in year 1 * 15% = 240,000 * 15% = 36,000
Number of people that will not be infected in year 2 = Number of people that will not be infected in year 1 - Number of people that will be infected in year 2 = 240,000 - 36,000 = 204,000
Number of people that will be infected in year 3 = Number of people that will not be infected in year 2 * 15% = 204,000 * 15% = 30,600
Number of people that will not be infected in year 3 = Number of people that will not be infected in year 2 - Number of people that will be infected in year 3 = 204,000 - 30,600 = 173,400
Number of people that will be infected in year 4 = Number of people that will not be infected in year 3 * 15% = 173,400 * 15% = 26,010
Therefore, we have:
Number of people that will be infected in 4 years = Number of people that will be infected in year 1 + Number of people that will be infected in year 2 + Number of people that will be infected in year 3 + Number of people that will be infected in year 4 = 160,000 + 36,000 + 30,600 + 26,010 = 252,610
which is the product of 15 5\12 A. 5 5\12 B. 6 1\4 C. 7 1\12 D. 7 3\4
Answers
Answer:
6 1/4
HOPE THIS HELPS!!!!!
A vendor has 10 balloons for sale: 5 are yellow, 2 are red, and 3 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?
Answers
Answer:
4/9
Step-by-step explanation:
Answer:
4/9
Step-by-step explanation:
PLS HELP ASAP GIVING 35 POINTS... If a rock has a mass of 1.5 - g / mL and displaces 5-mI. of water, what is the mass of the rock?
Answers
Work out the area of the shaded shape.
3cm
3cm
11cm
4cm
The diagram is not drawn to scale.
Answers
Answer:
I don't exactly know so just use a calculator.
Step-by-step explanation:
I think you multiply it all to get the answer.
Which of the following choices describes the sequence 12, 17, 22, 27, 32,…?
A. each term has two more than the previous term
B. each term has five more than the previous term
C. each term is twice the previous term
D. None of these choices are correct.
Answers
12+5=17
A right triangle has leg lengths of 2.7 cm and 4.8 cm. What is the length of the hypotenuse? (Round to the nearest hundredth if necessary.)
Answers
Answer:
nñœñtîęñ do îñglęs...ææ
The number of points scored by the girls basketball team in their last ten games are listed below. Which measure of center best describes the data? 38, 42, 45, 39, 48, 46, 39, 42, 45, 72
Answers
Answer:
median i think
Step-by-step explanation:
Can someone help me with this?
Answers
Answer:
ᴀ.)
Step-by-step explanation:
Hope you get it right!! :)
PLS I WILL GIVE BRAINLIEST AND IT IS WORTH DOUBLE POINTS!!!
Sophia is paying for a meal which costs $35. She has a coupon for a 20% discount. After the discount, sales tax is added at a rate of 8%. How much does Sophia need to pay for this meal? Explain how you got your answer
Answers
Answer:
he has 0.56 cents
Step-by-step explanation:
Answer:
I think the answer is 30.24
take off that is because 35 - 20% equals$28 plus 8% tax equals 30.24 so that's how I got that
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answers
Answer:
Height, h = 20.99 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99mm.
Therefore, the height of the cone is 20.99 millimeters.
One face of a cube-shaped package has an area of 7 5/8 square inches what is the lateral surface area of the package in square inches
Answers
Answer:
232.57 square inches
Step-by-step explanation:
The computation of the lateral surface area of the package in square inches is shown below;
Let us assume the area of cube is a
Given that
a = [tex]7 \frac{5}{8}\ in^2[/tex]
As we know that in a cube there is a four faces so the lateral surface area would be
[tex]= 4a^2\\\\=4\times 7\frac{5}{8} ^2\\\\= 4\times (\frac{61}{8})^2\\\\= 4\times \frac{3721}{64} \\\\= 232.57[/tex]
= 232.57 square inches
HELP- PLSS i beggggggg
Answers
Answer:d) 40 students
for the second one, it would be 26.
Step-by-step explanation:
How can square roots be written so that the radicand has no square factors?
Answers
Answer:
You can do this by dividing the radicand by the square number , and multiplying the radical by the root of that number.
e.g.
[tex]\sqrt{96} \\= \sqrt{16 \times 6}\\= 4\sqrt{6}[/tex]
a company declared a dividend of $1.50 per share. john has 600 shares in the company. how much will she get?
Answers
Answer:
$900
Step-by-step explanation:
So if each individual share is $1.50 we can presume that we need to multiply both factors. 1 x 600 is 600 and .50 x 600 is 300. 600 + 300 = 900. John will get $900 in shares profit.
Solve the inequality 2n – 1 < 39
Answers
Answer:
n < 20
Step-by-step explanation:
2n – 1 < 39
Add 1 to each side
2n – 1+1 < 39+1
2n < 40
Divide each side by 2
2n/2 < 40/2
n < 20
If sheeren had 7 friends and lost two how much would she have?
Answers
Answer:
sheeren would have 5 friends
Step-by-step explanation:
3x- 4x + x
Like terms or not Like terms?
Answers
Answer:
like terms
Step-by-step explanation:
they all are terms that include the letter x
Answer:
It should be Like Terms
Explanation:
Like terms are the terms which have the same variables with same exponent for each variable.
Example :
7x, 3x, - 4x
Unlike terms are the terms which have same variables or different variables.
If they have same variables, the exponents will not be same.
Example :
9x2, 5xy, - 4xy2, y, 6
Triston is playing basketball, and has 13 ounces of water in his water bottle. At half-time, he drinks ⅔ of his water. Later, he pours 3 ounces of water on his head to cool down. How much water does Triston have left in his bottle after the game?
Answers
Answer:
he has 5 ounces left in his bottle
Fionn observed that 91\%91%91, percent of the background checks he processes are for potential employees who have already interviewed. Let BBB be the number of background checks Fionn processes to get his first background check for a potential employee who has not yet interviewed for the job. Assume that the interview statuses are independent. Find the probability that the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript background check that Fionn processes is the first for which the potential employee has not yet interviewed.
Answers
Answer:
0.05
Step-by-step explanation:
checked via khan academy
Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.
What is probability?
Probability is the extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
We want to find that the first order placed by a new customer is the 5th.
We have that:
8% = 0.08 probability that an order is placed by a new customer.
1 - 0.08 = 0.92 = 92% probability that an order is placed by an old customer.
Probability that the first order placed by a new customer is the 5th:
First four all old, each with 0.92 probability.
Firth new, with 0.08 probability. So
[tex]p=(0.94)^4\times 0.08=0.0573[/tex]
Rounding to the nearest hundredth, 0.06 = 6% probability that the first new customer places the 5th order.
To know more about probability follow
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