1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kazeer [188]
3 years ago
6

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
mart [117]3 years ago
5 0

Answer:

it is a decay, it's value drops by 4%

Step-by-step explanation:

0.96 is less than 1 so it is a decay function.

1-0.96 = 0.04 so it drops at the rate of 4%

You might be interested in
Ms. Stevens gave a 30 question quiz to her Algebra 1 class. After grading the quizzes, her students received the following score
Lunna [17]
Idk
sorry dude 257381376
4 0
3 years ago
Find the volume of a sphere and radius is 3. please answer in terms of pi
Ghella [55]

Answer:

12 pi

Step-by-step explanation:

volume of sphere = 4/3 pi r2

4/3 pi 3 x 3

12 pi unit square

6 0
3 years ago
Read 2 more answers
The hard drive on your computer has a capacity of 160 gigabytes (GB). You have used 122 GB. You want to save some home videos to
QveST [7]

Capacity of the hard drive = 160 GB.

Used space = 122 GB.

Free space = 160 - 122 = 38 GB.

So, the size of the home video collection should be less than or equal to 38 GB.

If u is the amount of space used, then, u ≤ 38

If a is the amount of space available, then a = 38 - u.

8 0
3 years ago
Read 2 more answers
A. Do some research and find a city that has experienced population growth.
horrorfan [7]
A. The city we will use is Orlando, Florida, and we are going to examine its population growth from 2000 to 2010. According to the census the population of Orlando was 192,157 in 2000 and 238,300 in 2010. To examine this population growth period, we will use the standard population growth equation N_{t} =N _{0}e^{rt}
where:
N(t) is the population after t years
N_{0} is the initial population 
t is the time in years 
r is the growth rate in decimal form 
e is the Euler's constant 
We now for our investigation that N(t)=238300, N_{0} =192157, and t=10; lets replace those values in our equation to find r:
238300=192157e^{10r}
e^{10r} = \frac{238300}{192157}
ln(e^{10r} )=ln( \frac{238300}{192157} )
r= \frac{ln( \frac{238300}{192157}) }{10}
r=0.022
Now lets multiply r by 100% to obtain our growth rate as a percentage:
(0.022)(100)=2.2%
We just show that Orlando's population has been growing at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

B. Here we will examine the population decline of Detroit, Michigan over a period of ten years: 2000 to 2010.
Population in 2000: 951,307
Population in 2010: 713,777
We know from our investigation that N(t)=713777, N_{0} =951307, and t=10. Just like before, lets replace those values into our equation to find r:
713777=951307e^{10r}
e^{10r} = \frac{713777}{951307}
ln(e^{10r} )=ln( \frac{713777}{951307} )
r= \frac{ln( \frac{713777}{951307}) }{10}
r=-0.029
(-0.029)(100)= -2.9%.
We just show that Detroit's population has been declining at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

C. Final equation from point A: N(t)=192157e^{0.022t}.
Final equation from point B: N(t)=951307e^{-0.029t}
Similarities: Both have an initial population and use the same Euler's constant.
Differences: In the equation from point A the exponent is positive, which means that the function is growing; whereas, in equation from point B the exponent is negative, which means that the functions is decaying.

D. To find the year in which the population of Orlando will exceed the population of Detroit, we are going equate both equations N(t)=192157e^{0.022t} and N(t)=951307e^{-0.029t} and solve for t:
192157e^{0.022t} =951307e^{-0.029t}
\frac{192157e^{0.022t} }{951307e^{-0.029t} } =1
e^{0.051t} = \frac{951307}{192157}
ln(e^{0.051t})=ln( \frac{951307}{192157})
t= \frac{ln( \frac{951307}{192157}) }{0.051}
t=31.36
We can conclude that if Orlando's population keeps growing at the same rate and Detroit's keeps declining at the same rate, after 31.36 years in May of 2031 Orlando's population will surpass Detroit's population.

E. Since we know that the population of Detroit as 2000 is 951307, twice that population will be 2(951307)=1902614. Now we can rewrite our equation as: N(t)=1902614e^{-0.029t}. The last thing we need to do is equate our Orlando's population growth equation with this new one and solve for t:
192157e^{0.022t} =1902614e^{-0.029t}
\frac{192157e^{0.022t} }{1902614e^{-0.029t} } =1
e^{0.051t} = \frac{1902614}{192157}
ln(e^{0.051t} )=ln( \frac{1902614}{192157} )
t= \frac{ln( \frac{1902614}{192157}) }{0.051}
t=44.95
We can conclude that after 45 years in 2045 the population of Orlando will exceed twice the population of Detroit. 

  
8 0
3 years ago
This is an angle whose measure is exactly 90°
KatRina [158]

Answer:

A right triangle?

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Fill in the blank. tripling the radius of a sphere increases the surface area by a factor of ___________.
    7·1 answer
  • What is the value of n=9x12+3x25-8
    9·2 answers
  • Definition: A set of points that form a line are called a ___ pattern.
    15·2 answers
  • 11z/16+7z/8=5/16 how do you get the z alone?
    9·1 answer
  • Help me please i need help
    6·1 answer
  • If f(x) = (2x² + 5), then f'(x)
    6·1 answer
  • 50 POINTS!!! Please give an explanation and answer to this word problem. I am not just giving you 50 points for an answer!
    7·2 answers
  • Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?
    13·2 answers
  • Please help quick!!!!
    9·1 answer
  • What is the sum of 4 and its addictive inverse
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!