Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answers
Answer:
Growth rate is -0.25
Growth factor is 0.75
Step-by-step explanation:
The general form of an exponential equation is;
y = a(1 + r)^x
Where a is the initial value
r is the growth rate
For x = 3; we have
168.75 = 400(1 + r)^3 •••• (i)
For x = 2, we have
225 = 400(1 + r)^2 •••••(ii)
Divide i by ii
That will be;
168.75/225 = 1 + r
1 + r = 0.75
r = 0.75-1
r = -0.25
The growth rate is -0.25
The growth factor is 1-0.25 = 0.75
Related Questions
In a high school, 28% of the school’s population is seventeen years old. Of the students who are seventeen years old, 44% play a sport. One student at the high school is chosen at random to represent the school at a community event. What is the probability that the selected student will be seventeen years old and not play a sport?
Answers
Answer:
15.68%
Step-by-step
Since 44% of the 28% play sport subtract 44 from 100 to see how many of the 28% do not play sports and you get 56%. So multiply 56% and 28% and you get 15.68%.
Ms. D's 4th period geometry class has both freshman and sophomores. There are 27 kids in the class and it has twice as many freshman as sophomores. How many freshman are in the class?
let x=
let y=
Answers
Which of the following values does not satisfy the inequality X - 7 > 12?
A 11
B 33
C 22
D 44
Answers
Answer:
We conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Step-by-step explanation:
Given the inequality
x - 7 > 12
Any value which makes the inequality FALSE would be the value that not satisfy the inequality.
Putting x = 11 in the inequality
x - 7 > 12
11 - 7 > 12
4 > 12
FALSE!
Reason: 4 can not be greater than 12
Putting x = 33 in the inequality
x - 7 > 12
33 - 7 > 12
26 > 12
TRUE!
Reason: 26 is indeed greater than 12
Putting x = 22 in the inequality
x - 7 > 12
22 - 7 > 12
15 > 12
TRUE!
Reason: 15 is indeed greater than 12
Putting x = 44 in the inequality
x - 7 > 12
44 - 7 > 12
37 > 12
TRUE!
Reason: 37 is indeed greater than 12
Therefore, we conclude that when we put x = 11, it does not satisfy the inequality.
Hence, option (A) is correct.
Answer:
11
Step-by-step explanation:
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Answers
Answer:the answer is D
Step-by-step explanation:
I’ll mark u as brainlist plss
Answers
Answer:
I think C.
Step-by-step explanation:
Helpppp Number 9 pleaseeeee
Answers
(Geometry)
Find the value of X
Show work
Answers
Value of X is ——
1) x = 7
Can someone help me with this I don’t know that answer and I really want to pass please
Answers
Answer:
a
Step-by-step explanation:
this is because it is right
SOMEONE HELP ASAP!!!!!
Answers
Answer:
A. y=[tex]\frac{3}{2}[/tex]x-3
B.y=[tex]\frac{-3}{4}[/tex]x-3
Step-by-step explanation:
Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=[tex]\frac{3}{2}[/tex]x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=[tex]\frac{-3}{4}[/tex]x-3
Pls help me ill give brainliest
Do all 3 for brainliest pls
Answers
Answer:
16. 2x -3 + 2x -3 = 4x -6
x + 5 + x + 5 = 2x + 10
4x -6 + 2x + 10 =
6x+4Step-by-step explanation:
5) James wants to visit his sister Sarah. He
knows C Street is a shorter distance than taking
A Street and B Street. How many miles is C
Street? (GE: 2nd)
Answers
Write and solve an equation for seven less than fou
times a number is 29.
Answers
On Wednesday mornings, admission to the park swimming pool is $3.00 per adult and $2.00 per child. Which expression can be used to find the cost of admission to the pool for a group of adults (a) and children (c)?
A. 3ac
B.5+ac
C. 3a+2c
D. 2(3)+ac
WILL GIVE BRAINLIEST I NEED THIS FAST
Answers
Answer:
C.) 3a + 2c
Step-by-step explanation:
$3 per adult (a)
$3(a)
+
$2 per child (c)
$2(c)
Answer:
C. 3a+2c
Step-by-step explanation:
It is 3 $ for a adult hence the 3a and 2$ for a child hence 2c
John has $190 in his savings account. He earns 10% in interest per year.
What will John’s saving account balance be at the end of the year?
Answers
Answer:
1,900
Step-by-step explanation:
In a basketball tournament, team A scored 6 more points than 3 times as many points as team B scored. Team C scored 45 more points than team B scored. The combined scores for all three teams was 476 points. Which statement about the number of points is true? Team A scored 85 points. Team A scored 255 points. Team C scored 261 points. Team C scored 130 points.
Answers
Answer:
"Team C scored 130 points."
Step-by-step explanation:
Let x represent how many points team B scored.
Team A: 3x + 6
Team B: x
Team C: x + 45
Total: 476 points
476 = (x) + (3x + 6) + (x + 45)
476 = x + 3x + 6 + x + 45
476 = 5x + 51
425 = 5x
x = 85
Team A:
3(85) + 6
= 261 pts
Team B:
= 85 pts
Team C:
(85) + 45
= 130 points
Answer:
Team c 130
Step-by-step explanation:
help> ?????? pleaes asdfdfffffffff
Answers
Answer:
37.9701
Step-by-step explanation:
I only know the first one?? I'm really sorry cacsknak ik i said id help, but :( it's hard, and i never learned how to do the bottom two.
what is the x-coordinate of R' ?
Answers
Answer:
3
Step-by-step explanation:
Answer:
12
The x-axis is the horizontal one. The full coordinate is (12, 0), which the x-coordinate (or x-intercept) is 12.
Three different coins are tossed. What is P(tail, head or tail, head, or tail)
Answers
Answers:
Probability of landing all three coins on head: [tex]\frac{1}{8}[/tex]
Probability of landing all three coins on tail: [tex]\frac{1}{8}[/tex]
Probability of landing two coins on head and one on tail: [tex]\frac{3}{8}[/tex]
Probability of landing two coins on tails and one on head: [tex]\frac{3}{8}[/tex]
Step-by-step explanation (Read Carefully):
-How to calculate this is that there are three possible outcomes when tossing the three coins. So, if you group all the possible outcomes of heads and tails when tossing the three coins in one event, you’ll get eight events. Let’s take a look at it:
-A way to organize this is to have:
H = heads
T = tails
-Total of eight events, where each event is the probability of the three coins being tossed (possible events with equal probability, and order matters):
HHH
HHT
HTH
HTT
THH
THT
TTH
TTT
Now, let’s apply some questions:
⇒ Probability of landing all three coins on heads: [tex]\frac{1}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on heads? Well, you can see that there is only one possible event that has HHH. So, the probability of landing all three coins on heads (out of the eight events) is [tex]\frac{1}{8}[/tex].
⇒ Probability of landing all three coins on tails: [tex]\frac{1}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) that all three coins land on tails? Well, you can see that there is only one possible event that has TTT. So, the probability of landing all three coins on tails (out of the eight events) is [tex]\frac{1}{8}[/tex].
⇒ Probability of landing two coins on heads and one on tails: [tex]\frac{3}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) where two coins land on heads and one on tails? Well, you can see that there are three possible events that include HHT, HTH, THH. So, the probability of landing two coins on heads and one on tails (out of the eight events) is [tex]\frac{3}{8}[/tex].
⇒ Probability of landing two coins on tails and one on heads: [tex]\frac{3}{8}[/tex]
Explanation: Look at the events above. How many times (out of the eight events) where two coins land on tails the one on heads? Well, you can see that there are three possible events that include HTT, THT, TTH. So, the probability of landing two coins on tails and one on heads (out of the eight events) is [tex]\frac{3}{8}[/tex].
I hope you understand and that this helps with your question! :)
pls help 7th grade math. what is the value of (-4)^2+6÷(3+4)(2)-5?
A Disney world
B the legend of zelda breath of the wild
C Christmas tree
D ELMER'S glue
Answers
Answer:
a carrot
Step-by-step explanation:
(-4)^2+6÷(3+4)(2)-5? x 2 +1(2) x 8 equals carrot
Answer:
Mario odyssey
Step-by-step explanation:
Can someone explain to me an easy way to divide fractions? I can't seem to understand it.
Answers
Answer:
Flip the second fraction and multiply across
ex: 5/4 divided by 3/6
5/4 * 6/3
5*6 / 4*3 = 30/12
5/4 divided by 3/6 = 30/12
Step-by-step explanation:
Evaluate the expression below
if a = -8, b = 17, and c = 21
a2 –(b+c)
Answers
Answer:
-54
Step-by-step explanation:
first fill in the numbers
next do the parentheses 17 + 21=38
then find -8×2 which equals -16
then subtract -16 from 38 and get -54
The value of the expression a² - (b + c) at a = -8, b = 17, and c = 21 will be 26.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ a² - (b + c)
The value of the expression at a = -8, b = 17, and c = 21 will be
⇒ a² - (b + c)
⇒ (-8)² - (17 + 21)
⇒ 64 - 38
⇒ 26
The value of the expression a² - (b + c) at a = -8, b = 17, and c = 21 will be 26.
More about the value of expression link is given below.
https://brainly.com/question/23671908
#SPJ2
what is The “Big Stick Diplomacy"
Answers
Answer:
"Big Stick diplomacy is the policy of carefully mediated negotiation ("speaking softly") supported by the unspoken threat of a powerful military ("big stick")."
Step-by-step explanation:
(nationalgeographic)
Answer:
refers to President Theodore Roosevelt's foreign policy
Step-by-step explanation:
speak softly and carry a big stick; you will go far." Roosevelt described his style of foreign policy as "the exercise of intelligent forethought and of decisive action sufficiently far in advance of
Nick climbed a hill with an elevation of feet. Later that day, he returned home descending 700 feet. Jacob deposited his paycheck of $ . Later that week, he withdrew the same amount of $225 to buy a new TV. Janine was scuba diving and dove 25 feet to look at the fish on the coral reef. She then swam feet to the surface. The temperature started at -25 degrees. During the day, the temperature rose 5 degrees and then dropped 5 degrees. At the end of the day, the temperature was degrees.
Answers
Answer:
700, 225, 25, -25
Step-by-step explanation:
In the question given, we have to fill the blanks in the situations to describe an opposite quantities which combines to make zero.
1. Nick returned home descending 700 feet later at the day because he climbed a hill that was 700 feet high.
2. Jack deposited an amount of $225 in his account but later that week, he bought a new TV by withdrawing the amount of $225 from his account.
3. Janine dove into the sea to look at the coral reefs to a depth of 25 feet, and then she swam back to the sea surface by swimming 25 feet upwards.
4. The final temperature at the end of the day was -25 degrees, as the morning temperature was -25 degrees and then at daytime, it rose for 5 degrees and then again dropped by 5 degrees.
slope intercept form
through: (2, 4) and (1, -3)
Answers
Answer: I attached a graph below, hope it helps.
Step-by-step explanation:
A line can be written in the form y = mx + b where m is the slope and b is the y intercept.
Since the slope is given as 4, the equation will be y = 4x + b
Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8
Solving for b gives b = -7 so the equation will be y = 4x - 7
Identify the function shown in this graph.
3
2
OA. y= x+4
OB. y= -xt 4
OC. y= -X- 4
OD. y= x- 4
Answers
Answer:
A
Step-by-step explanation:
y on the horizontal y axis is to the y while x in the vertical axis point to +4
The function shown in the graph is y = x+ 4.
The correct option is A.
What is a slope?The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
To find the equation of the line that passes through the points (-4, 0) and (0, 4), we can use the point-slope form of the equation of a line as described in the definition.
First, let's find the slope of the line. We can use the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) = (-4, 0) and (x2, y2) = (0, 4):
m = (4 - 0) / (0 - (-4)) = 4 / 4 = 1
So the slope of the line is 1.
Next, let's choose one of the given points, say (-4, 0), and substitute its coordinates and the slope into the point-slope form:
y - 0 = 1(x - (-4))
Simplifying this equation, we get:
y = x + 4
So the equation of the line that passes through the points (-4, 0) and (0, 4) is y = x + 4.
To learn more about the slope;
brainly.com/question/3605446
#SPJ7
what does “pi” equal?
Answers
Answer:
here!
Step-by-step explanation:
"In decimal form, the value of pi is approximately 3.14."
hope this helps! :)
Answer:
pi equal 3.141492654 ................. and more but that is the standard answer
Step-by-step explanation:
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.
Part A: Write a system of equations to represent the given scenario. Use the variables "s" for senior citizen tickets and "c" for child.
Part B: Solve the system of equations from Part A algebraically. Show your work.
Part C: Explain what the solution to the system of equations represents in context of the problem. Hint: You will need to put words here, not an equation.
Answers
Answer:
The school took in $52 on there second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen
Step-by-step explanation:
Find the coordinates of midpoint of the line segment p(-5,-1) Q(6,-2)
Answers
Answer:
The coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)
Step-by-step explanation:
Given
P(-5, -1)Q(6, -2)[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]
[tex]=\left(\frac{6-5}{2},\:\frac{-2-1}{2}\right)[/tex]
[tex]=\left(\frac{1}{2},\:-\frac{3}{2}\right)[/tex]
Thus, the coordinates of the midpoint of the line segment p(-5,-1) Q(6,-2) would be: (1/2, -3/2)
Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E
Answers
Answer:
Triangle B A C is similar to triangle E D F
Step-by-step explanation:
That's by SAS Theorem.
Hope you got it this may helps u ???
What is f(-4) if f(x)=-2-8?