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
torisob [31]
3 years ago
12

If a town starts with population of 63,500 that declines by 700 people each year, construct an equation to model its population

size over time. How long would it take for the population to drop to 53,000?
Mathematics
1 answer:
ankoles [38]3 years ago
6 0

The equation would be 63500-700x=P, where 63500 is the original population, -700 is the amount the population decreases each year, x is the number of years, and P is the total population.


To answer the second part of the question, plug in 53000 for P and solve for x:

63500-700x=53000

<em>*Subtract 63500 from both sides*</em>

-700x=-10500

<em>*Divide both sides by -700*</em>

x=15


It would take 15 years for the population to drop to 53000.


Hope this helps!!

You might be interested in
Jodie ran at an average speed of 10 km/h for 15 minutes.<br> How far did she run in km?
laiz [17]

Answer:

2.5 km

Step-by-step explanation:

15 minutes is

15 minutes * 1 hour/ 60 minutes = 1/4 hour

15 minutes = 1/4 of an hour

10 km/ hour * 1/4 hour = 10/4  km  = 2.5 km

5 0
3 years ago
Read 2 more answers
A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s
Setler [38]

Answer:

310\text{ feet and }210\text{ feet}

Step-by-step explanation:

GIVEN: A farmer has 520 \text{ feet} of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 310 \text{ feet}.

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be x and y

perimeter of rectangular pen =2(x+y)=520\text{ feet}

                                                x+y=260

                                               y=260-x

area of rectangular pen =\text{length}\times\text{width}

                                       =xy

putting value of y

=x(260-x)

=260x-x^2

to maximize \frac{d \text{(area)}}{dx}=0

260-2x=0

x=130\text{ feet}

y=390\text{ feet}

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen =310\text{ feet}

                              width of rectangular pen =210\text{ feet}

Maximum area of rectangular pen =310\times210=65100\text{ feet}^2

Hence maximum area of rectangular pen is 65100\text{ feet}^2 and dimensions are 310\text{ feet and }210\text{ feet}

5 0
3 years ago
In slope intercept form what is the equation of the line having a slope of 5 and passing through the point (-6,-26)
____ [38]
Slope/gradient = 5
y= MX + C
(-6,-26)
-6 is x1 and -26 is y1
so therefore y= 5x -26
5 0
4 years ago
Solve for j<br> 9j=19+8j
charle [14.2K]

Answer: The answer would be j=19

6 0
3 years ago
Read 2 more answers
What is the following product
frosja888 [35]
I would pick C sorry if it’s wrong
3 0
3 years ago
Read 2 more answers
Other questions:
  • What property out of distributive,communitive,and associative.
    5·1 answer
  • If the mass of a material is 108 grams and the volume of the material is 17 cm3, what would the density of the material be?
    10·1 answer
  • write an equation for Tanmayi want to raise $175 for a school fundraiser.She has raised $120 so far.How much more does she need
    13·2 answers
  • The total number of cats and dogs at the shelter is 125.<br> There are 5 more cats than dogs,
    5·1 answer
  • Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the
    6·2 answers
  • Number 1,3,5,6 please
    8·2 answers
  • What Is the domain of the function shown
    11·1 answer
  • Zacarías and Paz together have $756.80 if Zacarías has $489.59, how much does Paz have? Write and solve an addition equation to
    12·1 answer
  • Please help me... :)
    9·1 answer
  • 100000 times 345040+567556
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!