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
Viktor [21]
3 years ago
12

City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of

people, based on this increase can be modeled by the function p(x) = 2.5(1.082), where x is the number of years of tracked growth. The planners also estimate a 3% population loss over the same time period that can be modeled by the function L(p) = p(0.97).​

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

The correct option is the third option,

L(p(x))=2.425(1.082)^{x}

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

p(x)=2.5(1.082)^{x}

and

L(p(x))=p(0.97)

So, the evaluationg p(x) into L(p), we have:

L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}

Hence, the correct option is:

The third option,  

L(p(x))=2.425(1.082)^{x}

Have a nice day!

You might be interested in
What is the probability of choosing Saturday in a month that begins with the letter j ​
zhenek [66]

Answer:

2%

Step-by-step explanation:

4 0
2 years ago
A typical credit card company charges 18% annual interest,
AnnZ [28]

Answer:

$1,519

Step-by-step explanation:

Given that :

Balance = principal = $520

Time (t) = 6 years

Annual. Interest rate (r) = 18% = 0.18

Using the compound interest formula:

A = P(1 + r/n)^nt

n = number of times interest is applied per period ; A = final amount

Since interest is compounded monthly, n = 12

A = 520(1 + 0.18/12)^(12 * 6)

A = 520(1 + 0.015)^72

A = 520(1.015)^72

A = 520(2.9211579)

A = 1519.0021

Hence, final amount = $1519

3 0
2 years ago
How to simplify (81^-0.25)^3
IRISSAK [1]
(81^-0.25)^3 = ( 1 / (81^0.25) )^3 

<span>81^.025 is the 4th root of 81 which is 3 </span>
<span>Therefor </span>
<span>( 1 / (81^0.25) )^3 = (1/3)^3 </span>

<span>(1/3)^3 = 1/27 <-----

Hope I Helped You!!! :-)

Have A Good Day!!!</span>
4 0
2 years ago
PLS HELP!! Ill mark brainliest!
Artist 52 [7]

Answer:

120 cm^3

Step-by-step explanation:

1. 9 times 5 =45

2. 45 divided by 3 = 15

3. 15 times 8 = 120

8 0
2 years ago
For every 3/4 cup of cereal, it's 80 calories. How many calories would be in one cup of cereal?
Crank
1 cup of cereal is about 307 calories


8 0
3 years ago
Read 2 more answers
Other questions:
  • 1. Which event will have the greatest impact (positive or negative) on one's net worth after one month?
    15·1 answer
  • Para calcular la altura alcanzada por un proyectil en la tierra es suficiente conocer la velocidad de lanzamiento
    14·1 answer
  • How to do the math problem 15 divided by 3 + 7x6?
    15·1 answer
  • A bricklayer uses a cylinder to store sand. The cylinder is 5 ft tall and has a radius of 0.5 ft. Each batch of mortar contains
    10·1 answer
  • Simplify the expression (6^4)^2.
    13·2 answers
  • Sale! 25% OFF
    13·2 answers
  • Pleaseeee help
    7·2 answers
  • Which number has the smaller number? -5 or -15? explain your answer.
    11·2 answers
  • Which function has a vertex at (2, 6)?
    7·2 answers
  • Write an equivalent system of equations to the following of equations: 2x+2y=-6 and x-4y=2​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!