All of the functions shown below are either exponential growth or decay functions.
Complete the table by classifying each function as either growth or decay. Select Exponential Growth or Exponential Decay for each function.
Exponential Growth Exponential Decay
y = 3.2(1 + 0.45)2X
y = 2(0.85)3
y = (1 -0.03)* + 4
y = 0.5(1.2)* + 2
S
Help
Answers
Answer:
Step-by-step explanation:
If an exponential function is in the form of y = a(b)ˣ,
a = Initial quantity
b = Growth factor
x = Duration
Condition for exponential growth → b > 1
Condition for exponential decay → 0 < b < 1
Now we ca apply this condition in the given functions,
1). [tex]y=3.2(1+0.45)^{2x}[/tex]
Here, (1 + 0.45) = 1.45 > 1
Therefore, It's an exponential growth.
2). [tex]y=(0.85)^{3x}[/tex]
Here, (0.85) is between 0 and 1,
Therefore, it's an exponential decay.
3). y = (1 - 0.03)ˣ + 4
Here, (1 - 0.03) = 0.97
And 0 < 0.97 < 1
Therefore, It's an exponential decay.
4). y = 0.5(1.2)ˣ + 2
Here, 1.2 > 1
Therefore, it's an exponential growth.
Related Questions
HELP I NEED HELP ASAP
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Please Help Fast it’s a pretty simple problem
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Answer:
A is the correct answer
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert £31.50 to euros.
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Answer:42
Step-by-step explanation:
you just have to do a bit of division
Find they -intercept and -x intercept of the line. -9x-2y=-14
Answers
Answer:
the x-intercept is when y equals 0, so it's 14/9, which is 1 5/9
the y-intercept is when x equals 0, so it's 7
Step-by-step explanation:
Answer:
Step-by-step explanation:
y -intercept, put x = 0:
-9(0) - 2y = -14
2y = 14
y = 7.
So y-intercept is at (0, 7).
x -intercept, put y = 0:
-9x - 2(0) = -14
-9x = -14
x = 14/9/
So x-intercept is at (14/9, 0).
Help me again thank y’all
Answers
Warren drank 4 5 liter of water Monday before going jogging. He drank 2 3 liter of water after his jog. How much water did Warren drink altogether? Write your answer as a mixed number.
Answers
Answer: Warren drank 1 7/15 Liters of water altogether
Step-by-step explanation:
Step 1
Amount of water drank before jogging = 4/5 liters
Amount of water drank after jogging =2/3 liters
Amount of water drank altogether =Amount of water drank before jogging +Amount of water drank after jogging
Step 2
Amount of water drank altogether = 4/5 + 2/3
The LCM of 5 and 3 gives 15 , so we have the denominator becoming 15,
4/5 + 2/3 = / 15
15 divided by 5 gives 3 multiplied by 4 gives us 12 and also 15 divided by 3 gives 5 multiplied by 2 gives 10 , such that we have
12 + 10 / 15
= 22/ 15
=1 7/15
A car is traveling with a velocity of 65.0 km/h. In the next 15 minutes the car gradually slows down at the end of the 15 minutes the car is traveling at 45.0 km/h what is the average acceleration of the car during the time it slows down?
Answers
Answer:
- 0.006173 m/s²
Step-by-step explanation:
Given :
Initial Velocity, u = 65km/hr = (65*1000) / 3600 = 18.056 m/s
Final velocity, v = 45 km/ hr = (45*1000) / 3600 = 12.5 m/s
Time at which change in velocity occurred = 15 minutes = 15 * 60 = 900 s
Acceleration = Change in velocity with time
Acceleration = (v - u) / t
Acceleration = (12.5 - 18.056) / 900
Acceleration (deceleration) = - 5.556 / 900
Deceleration = - 0.006173 m/s²
What is the value of x?
1/3 \2 units
1/2 /3 units
2 \ 3 units
3. / 2 units
Answers
What is the solution(s) to the equation 5a2 - 44 = 81?
A
+25
B
-5
55
D
1125
Answers
Answer:
B
Step-by-step explanation:
5a^2 - 44 = 81 Add 44 to both sides
5a^2 = 81 + 44 Collect like terms
5a^2 = 125 Divide both sides by 5
a^2 = 125/5
a^2 = 25 Take the square root of both sides
√a^2 = √25
a = +5
a = -5
The answer is B
Part D
Shania plans to go on a vacation in a few months. She starts saving for the trip with a $100 bill. For the next four months, she saves 20% more
than she did the previous month. Using the formula deduced in part, find the total amount Shania will save at the end of 4 months.
Answers
Answer:
Step-by-step explanation:
[tex]y(t>1) = x(t) + y(t-1)\\x(t>1) = 1.2x(t-1)\\y(1) = x(1) = 100\\\\y(t>1) = 1.2x(t-1) + y(t-1)\\y(2) = 1.2x(1) + y(1) = 120+100 = 220\\y(3) = 1.2x(2) + y(2) = 144+220 = 364\\y(4) = 1.2x(3) = y(3) = 172.8+364=536.8\\[/tex]
Pls help asap! Will give brainliest
Answers
Answer:
A and B and C
Step-by-step explanation:
Answer:
i think its B and C
Step-by-step explanation:
Gary wants to buy a video game with a selling price of 48 on sale for 50% off the sales tax in his state is 4.5% how much will Gary have to pay in all?
Answers
Answer:
$25.08
Step-by-step explanation:
48/2= 24(50% of 100% simplifies to 1/2)
24(0.045)=1.08
24 + 1.08 = 25.08
(6k^4-k^3-8k)-(5k^4+6k-8k^3)
Answers
Answer:
9y⁴−9y
Step-by-step explanation:
Subtract 8y48y4 from 5y45y4.
6y4−y−8y−(−3y4)6y4-y-8y-(-3y4)
Multiply −3-3 by −1-1.
6y4−y−8y+3y46y4-y-8y+3y4
Simplify by adding terms.
Add 6y46y4 and 3y43y4.
9y4−y−8y9y4-y-8y
Subtract 8y8y from −y-y.
9y⁴−9y
Answer:
( 6 4 − 1 3 − 8 ) − 1 ( 5 4 + 6 − 8 3 )
Step-by-step explanation:
Rearrange terms
( 6 4 − 1 3 − 8 ) − 1 ( 5 4 + 6 − 8 3 ) ( 6 4 − 1 3 − 8 ) − 1 ( 5 4 − 8 3 + 6 )
distribute
(6 4 − 1 3 − 8 ) − 1 ( 53 4 − 8 3 + 6 ) (6 4 − 1 3 − 8 ) − 5 4+ 8 3 − 6
Eliminate redundant parentheses
combine like terms
multiply like 1
solution: 4 + 7 3 − 1 4
his recipe makes 3 portions of porridge.
Complete the amount of each ingredient that is needed to make just 2 portions.
Recipe: Serves 3
240 g oats
1.2 l milk
60 g sugar
PLEASE HELP
Answers
Answer:
Complete the amount of each ingredient that is needed to make just 2 portions.
Recipe: Serves 2
160 g oats
0.8 l milk
40 g sugar
Step-by-step explanation:
b. Tyler practiced the clarinet for 64% as much time as Han practiced the piano. How long did he practice?
Answers
Answer: 48 minutes
Step-by-step explanation:
Han spent 75 minutes practicing the piano.
Tyler spent only 64% as much as that. How long did Tyler practice:
= 75 * 64%
= 48 minutes
What is the solution to the equation 9^(x + 2) = 27?
x = 2.5
x = 0.5
x = −0.5
x = −3.5
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ILL GIVE BRAINLIEST PLZ I REALLY NEED THE ANSWER
Answers
Answer:
your answer would be B
Step-by-step explanation:
give simple summaries of the answers of each after explaining please, i will give brainliest. ty for help :)
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Answer:
[tex]1. \ p=2\ * 3^{n}[/tex]
2. 3rd graph (decreasing exponentially)
3. [tex]1500(3^{n} )[/tex]
4. 281.25 mg
Step-by-step explanation:
7th grade math help me please :)
Answers
Answer:
see explanation
Step-by-step explanation:
first step
42 + [tex]\frac{t}{6}[/tex]
second step
42 + [tex]\frac{12}{6}[/tex]
third step
42 + 2
fourth step
44
Answer:
hope this helps
Step-by-step explanation:
42 plus t/6
42+12/6
42+2
44
14
of an ordinary year = ....... week.
5
Answers
use what you already know to find a,b and c. input each value NEED HELP
Answers
Answer:
b=100
a=80
c=100
Step-by-step explanation:
to find b we know that in a straight angle there is 180 degrees and since we already know that one side is 80 degrees we just need to substract 180 by 80 to get 100 degrees.
since its parallel lines we can confirm that 80degrees and r are coresponding angles so r=80.Which also means a and r are alternate angles so a=80.
Lastly to find c we need to do the same thing as we did with b. Which means c=100
plz help will give brainlyest
Answers
Answer:
C, 3 inches
Step-by-step explanation:
What is the slope of the line?
y + 5 = 2(x + 1)
A. 1/5
B. 2/5
C. 2
D. 1/2
Answers
Answer:
it's 2
Step-by-step explanation:
hope this helps you.
You’re given a side length of 7 centimeters. How many equilateral triangles can you construct using this information?
A. 0
B. 1
C. 2
D. 3
Answers
Answer:
There is only one equilateral triangle possible for the given side length
Step-by-step explanation:
Hope this helps.
Answer:
B. 1
Step-by-step explanation:
PLEASE HELP!!!20PTS
Select the function that's represented in the graph.
Question options:
A)
ƒ(x) = (x + 3)2 – 5
B)
ƒ(x) = 3(x + 3)2 – 5
C)
ƒ(x) = (x – 3)2 – 5
D)
ƒ(x) = 3(x – 3)2 – 5
Answers
Answer:
I think its B I am not sure though
Step-by-step explanation:
hope this helped!
Answer:
D ƒ(x) = 3(x – 3)^2 – 5
Step-by-step explanation:
taking quiz using phototmath lol
1/4 + 1/3 + 11 / 12
Answers
Joseph has saved $325. He wants to purchase a surfboard that costs $785. If he saves $12 each week from the money he earns mowing yards and another $6 each week from his allowance, how many weeks will it take Joseph to save enough to buy the surfboard?
Answers
Answer: 25.6 weeks
Step-by-step explanation:
He has saved $325 already so the amount left to purchase the surfboard is:
= 785 - 325
= $460
He saves $12 and $6 every week.
= $18.
Number of weeks left:
= 460/18
= 25.6 weeks
Which of the following data sets indicates a strong negative correlation?
((-2.-4), (0.-2), (2.0), (4.2))
((-3. 8). (-2. -6).(-1.4),(0.-2))
((-2.4).(-1,2), (0, 0), (1-2)
Answers
Answer: the second one
Step-by-step explanation:
franklin st. is parallel to washington st. What is the value of x?
Answers
Answer:
x = 73°Step-by-step explanation:
The angles 107° and x are supplementary angles, therefore sum to 180°:
107° + x = 180°x = 180° - 107°x = 73°what is the value of -2(x+5)?
Answers
So -2x=-10
-10/-2=5
X=5
Answer:
[tex] - 2(x + 5) = (- 2x - 10)[/tex]
(-2x-10) is the right answer.