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
Verdich [7]
3 years ago
11

The local museum had 20000 visitors in 1990 . The number of visitors has decreased by 3% each year since 1990 . Enter a function

m(x) to represent the number of visitors to the museum x years after 1990
Mathematics
2 answers:
svp [43]3 years ago
8 0

Answer:

m(x)=20,000\cdot (0.97)^x

Step-by-step explanation:

We have been that the local museum had 20000 visitors in 1990 . The number of visitors has decreased by 3% each year since 1990.

We will use exponential function to write formula for the given problem as number of visitors decrease exponentially.

We know that an exponential function is in form f(x)=a\cdot b^x, where,

a = Initial value,

b = For decay b is in form (1-r), where r represents rate in decimal form.

Let us convert our given rate in decimal form.

3\%=\frac{3}{100}=0.03

Upon substituting our given values in above formula we will get,

m(x)=20,000\cdot (1-0.03)^x

m(x)=20,000\cdot (0.97)^x

Therefore, the function m(x)=20,000\cdot (0.97)^x represents the number of visitors to the museum x years after 1990.

oksano4ka [1.4K]3 years ago
7 0

Answer:

It is m(x) = 20,000(0.97)^x.

Step-by-step explanation:

After 1990, each year has (100-3) = 97% ( or 0.97) of visitors that it had the previous year.

So m(x) = 20,000(0.97)^x   (answer).

You might be interested in
A teacher records the number of students present in her 1st period class each day. This count is a ___________ random variable.
blagie [28]

This count is a discrete random variable (option A).

<h3>What is a discrete random variable?</h3>

A discrete random variable is a variable that contains integers that can only be a limited number of possible values.  A discrete random variable is can contain only a finite set of numbers .

An example of discrete random variable is the number of students in the first period class. It is impossible for the number of students in the class to go on indefinitely.

Discrete random variable has the following properties:

  • It is finite
  • It is numeric
  • It is countable
  • It contains non-negative integers.

A continous random variable is a variable that has an infinite number.

To learn more about discrete data, please check: brainly.com/question/22916429

#SPJ1

7 0
2 years ago
What is the meaning of descending​
erastovalidia [21]

Answer:

numbers largest to smallest

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A shoekeeper uses this formula to work out the
ElenaW [278]

Answer:

12.6

Step-by-step explanation:

1.8X7

7x1=7

0.8x7=5.6

7+5.6=12.6

3 0
3 years ago
What is the y intercept of the line that passes through the points (-2,4) and (-1,7) ?
alukav5142 [94]

Answer: (0,10)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Need answer fast
lara31 [8.8K]

Answer:

5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters

7 0
3 years ago
Read 2 more answers
Other questions:
  • Classify the following triangle as acute, obtuse, or right.
    7·2 answers
  • A country population in 1993 was 94 million. In 1999 it was 99 million. Estimate the population in 2005 using the expoetential g
    8·2 answers
  • Y = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20" id="TexFormula1" title=" \frac{5}{2} " alt=" \frac{5}{2} " al
    5·1 answer
  • If u estimate 60/5.7 Will the actual quotient be greater than or less than 10
    12·1 answer
  • Evaluate the following expressions: (2×3)2-52
    15·1 answer
  • HELPPP PLEASEEEEEEEEEEEEE
    13·2 answers
  • 4) In the accompanying diagram, WX || YN . If m
    14·1 answer
  • B. Complete the diagram to find the unit rate for the 5-class block.What is the cost per class?
    9·2 answers
  • Complete the table to show the steps for combining like terms.
    14·1 answer
  • If a translation of T2, -7(x, y) is applied to AABC, what
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!