Select all the correct locations on the table.
Classify each situation as an exponential growth, exponential decay, or linear relationship.
A catering company purchased a delivery van
for $25,000. After 2 years, the value of the van
was $17,500. After 4 years, the value of the van
was $12,250.
At the beginning of the day, a laptop had 100%
battery life. After 3 hours, the laptop had 60%
battery life. After 6 hours, it had 20% battery life.
A tiger reserve had an initial population of
20 tigers. After 5 years, the population was
30 tigers. After 10 years, the population was
45 tigers.
exponential growth
exponential decay
linear
Answers
The required answer choices are (i)exponential decay (ii) linear and (iii) exponential growth
What are exponential growth and exponential decay?
Quantities that fluctuate quickly are subject to exponential growth and decay. The idea of geometric progression has been used to infer exponential growth and decay. Exponential growth or exponential decay are terms used to describe quantities that vary exponentially rather than continuously.
From question,
1) The first question is like, initially delivery van price is $25,000 after 2 years, the value of the van becomes $17,500
This means it is decaying. The difference between the initial price and after 2 years price is $7500.
To be linear, further after 2 years, or from start after 6 years, the price should be $10000. But it is given to be $12250.
Thus exponential decay.
2) In the second, Initially, a laptop had 100% battery life. After 3 hours, the laptop has 60% battery life. Thus the loss in 3 hours is (100 - 60) = 40%.
After 4 hours, the loss is (60 -20) = 40%
As the loss is the same in equal intervals of time, the decay is linear.
3) In the third one, A tiger reserve had an initial population of 20 tigers.
After 5 years the population was 30 tigers, thus the growth is (30-20) =10.
After 10 years, the population was 45 tigers. Thus the growth is (45-30) = 15.
Thus the increase is non-linear, and so is exponential growth.
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Related Questions
How much of the initial mass remains after 190 days? (Round your answer to eight decimal places.)
Answers
Solution
Substituting t = 190 in y
\(y=7(\frac{1}{2})^{\frac{190}{8}}\approx0.0000005\)matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s.
Answers
Answer:
Step-by-step explanation:
what number goes into 105 and 90
Answers
Answer:
15
Step-by-step explanation:
Yw
Answer:
5
Step-by-step explanation:
A bucket can hold 5 gallons of water. About how many liters of water can the bucket hold? Round to the nearest tenth.
Answers
EXPLANATION : just did it
what's up? 5 gallons ≈ 19 liters (THIS IS U.S. GALLON, THE OTHER ANSWER HAS IMPERIAL GALLON IF THAT IS WHAT YOU NEED)
best of luck with your studies
PLEASE HELP WITH FACTORING PROBLEM/SHOW WORK!
Answers
Answer:
(3x+2)(x-5)
Step-by-step explanation:
Factor by grouping
\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)
How can you solve the equation for 8(-3d+2)=88
Answers
Answer:
-3
Step-by-step explanation:
8(-3d + 2) = 88 divide both sides by 8
-3d + 2 = 11 rest 2 on both sides
-3d = 9 divide both sides by -3
d = -3
Answer:
i think D it's 110 cuz : 8×-3d and 8×2 = -24d+2=88 so D=88+24-2=110
Niall bought 234 inches of nylon cord for rock climbing. There are 36 inches in 1 yard. How many yards of cord did Niall buy?
Answers
Answer:
6.5 yards of cord were bought
Step-by-step explanation:
234/36=6.5
What is 2 3/4 in a decimal format
Answers
Answer:
2.5
Step-by-step explanation:
Answer:
2.75
Step-by-step explanation:
2 x 4=8 + 3=11/4=2.75
1) A bus stops every 400m. How many stops does it make in travelling a distance of 20kmaround a city?
2: A kitchen garden is made up of a rectangle and a square as shown in Fig. 4.2. What is the perimeter of the garden in
(a) metres?
(b) centimetres?
Answers
Answer: 1. 50 stops.
Step-by-step explanation:
There is 1,000 meters in a Kilometer. So 20,000/400=50
Answer:
1) 50 stops
2) a: 60 meters
b: 6,000 centimeters
Step-by-step explanation:
A) we have to convert 20k into meters to solve it
To do that we multiply by 1000
20x1000
20,000 meters now we divide by 400 to see how many stops
20,000/400
50 stops
2)
to find perimeter is meters we add all of the sides together
20+10+5+5+15+5
30+10+20
30+30
60 m is the perimeter
Now in centimeters we multiply by 100
60x100
6,000 centimeters
Hopes this helps please mark brainliest
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
Answers
she can buy 5 shirts
True or false
A sample space can be written as an organized list, a table or a tree diagram.
Answers
if x+4/4= y+3/3 then y/3=
Answers
The value of y / 3 in the equation is x / 4.
How to use equation to find y / 3 ?Therefore,
x + 4 / 4 = y + 3 / 3
then y / 3 can be found as follows,
x + 4 / 4 = x / 4 + 4 / 4 = x / 4 + 1
y + 3 / 3 = y / 3 + 3 / 3 = y / 3 + 1
x / 4 + 1 = y / 3 + 1
subtract 1 from both sides of the equation
x / 4 + 1 - 1 = y / 3 + 1 - 1
x / 4 = y / 3
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how can i keep my passwords safe?
Answers
use a capital letter, make it at least 7 letters long, use a special charater(s) (ect. _) and make sure you can remember it
Step-by-step explanation:
An angle measures 17.4° more than the measure of its complementary angle. What is the measure of each angle?
Answers
45 and 27.6 degrees are the two complementary angles.
What is a 45-degree angle?When the right angle is split into two equal parts, each angle is 45°. A 45-degree angle is considered sharp. It is a right angle of half, or a 90-degree angle.
Angles that are complementary are those whose sum is 90 degrees. If the smaller angle has a measure of x, then the complementary angle's measure is 90 - x.
The issue shows that the greater angle (x + 17.4) is 17.4 degrees larger than the corresponding angle's measurement (90 - x). To find x, we can construct the following equation:
x + 17.4 = 90 - x + 17.4
When we simplify and find x, we obtain:
2x = 55.2
x = 27.6
The greater angle's measure is x + 17.4 = 45 degrees, while the smaller angle's measure is x = 27.6 degrees.
The two complementary angles are 27.6 and 45 degrees as a result.
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{ (-2, 4), (0, 2), (-1, 3), (4, -2)}
The set of ordered pairs above:
DONE
Domain
-3
4
-1
5
Range
3
7
-2
The mapping diagram above:
DONE
y=x²
DONE
x
-3
-1
y
5
2
-1
The table above:
DONE ✔
Answers
The set of ordered pairs above: is a function.
The mapping diagram above: is a function.
y = x²: is a function.
The table above: is not a function.
What is a function?In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.
Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).
In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).
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a minus b minus a square plus b square
Answers
Answer:
what is the question about which topic
(100 Brainly points)What are the sine, cosine, and tangent of 7 pi over 4 radians?
Answers
Answer:
The values of sine, cosine, and tangent of θ = 7 pi over 4 radians are -√2/2, √2/2 and -1.
I need Help please!!!
Answers
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
Practise the Skill
A container holds 4 yellow balls, 3 blue balls and 1 red ball.
Luke chooses a ball at random.
What is the probability that Luke will pick a blue ball?
Give your answer as a fraction in its lowest terms.
Answers
The probability that Luke will pick a blue ball is 3/8.
We have,
To find the probability of Luke picking a blue ball, we need to determine the total number of balls in the container and the number of blue balls.
Total number of balls
= 4 (yellow balls) + 3 (blue balls) + 1 (red ball)
= 8 balls
Number of blue balls = 3
Now, the probability (P) of picking a blue ball is given by:
P = Number of favorable outcomes (picking a blue ball) / Total number of possible outcomes
P = 3 (number of blue balls) / 8 (total number of balls)
Now, we can simplify the fraction to its lowest terms:
P = 3/8
Thus,
The probability that Luke will pick a blue ball is 3/8.
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What the meaning of "a sequence of length n"?
Answers
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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The median for the given set of six ordered data values is 31.5.
9 12 23 41 50
What is the missing value?
-
The missing value is
Answers
Answer:
Step-by-step explanation:
25
Consider the following number line
Answers
Answer: 4.5 looks the most reasonable to me.
Step-by-step explanation:
Round 72.163 to the nearest tens place.
Answers
Answer:
72.2 is the correct answer
Step-by-step explanation:
612,315 in scientific notation
Answers
Answer: 6.12315 × 105
Step-by-step explanation: No worry's just here for the fun of it
Can you explain to me why I got this wrong? And what are the correct answers
Answers
To get the true statements, we will be testing the options one by one in order.
First option
\(\begin{gathered} \cos (25)=0.9063 \\ \cos (65)=0.4226 \\ \therefore\cos (25)\ne\cos (65) \end{gathered}\)Second option
\(\begin{gathered} \cos (25)=0.9063 \\ \sin (65)=0.9063 \\ \therefore\cos (25)=\sin (65) \end{gathered}\)Third option
\(\begin{gathered} \sin (25)=0.4226 \\ \cos (65)=0.4226 \\ \therefore\sin (25)=\cos (65) \end{gathered}\)Fourth option
\(\begin{gathered} \tan (45)=1 \\ \tan (45)=1 \\ \therefore\tan (45)=\tan (45) \end{gathered}\)Fifth option
\(\begin{gathered} \tan (65)=2.1445 \\ \tan (25)=0.4663 \\ \therefore\tan (65)=\tan (25) \end{gathered}\)Hence, the correct options are Options 2, 3, 4.
INTERMEDIATE
3 unknown bags of gold with 3 ounces of lead balances with 1 unknown bag of gold
and 4 ounces of lead weights. How much gold is in each bag?
Answers
Answer:
I don't know what to do with it but I don't
Step-by-step explanation:
hahahaha
Which angles are alternate interior angles?
HELPPP
Answers
Answer:
rsp and tsu
Step-by-step explanation:
Answer:
RSP AND QPS
Step-by-step explanation:
NOW GIVE ME BRAINLIEST
You spin the spinner once. What is P(less than 3 or prime)?
•3/5
•2/5
•1
•3/4
Answers
Make A the subject..............................................
Answers
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer
Randy is starting a beehive so that he can have fresh
honey. He decides to check the current population of bees
in the hive by marking 160 bees. Later, Randy collects 240
bees and observes that 30 of them are marked. What is the
BEST estimate for the bee population?
Answers
Answer:
1,280
Step-by-step explanation: