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
Margaret [11]
3 years ago
10

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

es by 25% in 10 years. What will be the population in 20 years? (Round your answer to the nearest person.) persons How fast is the population growing at t20 (Round your answer to two decimal places.) persons/yr
Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answer:

The population would be 781.

The population is growing with the rate of 12.50 persons/yr.

Step-by-step explanation:

Since, the formula for calculating the population, increasing with a rate per period,

A=P(1+r)^{n}

Where, P is the initial population,

r is the rate per period,

n is the number of period,

t is the total years,

Here, P = 500, r = 25 % = 0.25, n = 2 ( the number of '10 year period' of in 20 years is 2 )

Hence, the population in 20 years would be,

A=500(1+0.25)^2=500(1.25)^2=781.25\approx 781

Now, the rate of increasing per 10 year is 25 %,

⇒ The rate of increasing per year is 2.5 %,

Thus, the growing people per year = 2.5 % of 500 = 0.025 × 500 = 12.50

Hence, the population is growing at 12.50 person per year.

You might be interested in
Stephanie goes shopping on Sunday, she has $60. After buying 20 chocolates, she has $10 left. How much did the chocolate cost?
m_a_m_a [10]

Answer: x=2.5


Step-by-step explanation:

First we need to set up and equation

10= 60 - 20x

where x is the amount the cookies cost

subtract 60 from both sides

-50=- 20x

now divide each side by 20 so hat we can isolate the x

-50/-20= x

x= 2.5

now to check just multiply it by 20 then subtract from 60.

2.5 x 10= 50

60-50=10


6 0
3 years ago
Read 2 more answers
Cos4theta+cos2theta/ cos4theta-cos2theta= _____
vovangra [49]

\bf \textit{Sum to Product Identities} \\\\ cos(\alpha)+cos(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ cos(\alpha)-cos(\beta)=-2sin\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}

\bf \cfrac{cos(4\theta )+cos(2\theta )}{cos(4\theta )-cos(2\theta )}\implies \cfrac{2cos\left( \frac{4\theta +2\theta }{2} \right)cos\left( \frac{4\theta -2\theta }{2} \right)}{-2sin\left( \frac{4\theta +2\theta }{2} \right)sin\left( \frac{4\theta -2\theta }{2} \right)} \implies \cfrac{cos\left( \frac{6\theta }{2} \right)cos\left( \frac{2\theta }{2} \right)}{-sin\left( \frac{6\theta }{2} \right)sin\left( \frac{2\theta }{2} \right)}

\bf \cfrac{cos(3\theta )cos(\theta )}{-sin(3\theta )sin(\theta )}\implies -\cfrac{cos(3\theta )}{sin(3\theta )}\cdot \cfrac{cos(\theta )}{sin(\theta )}\implies -cot(3\theta )cot(\theta )

8 0
3 years ago
A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was
Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

1.1*10^9  is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

1.1*10^9=1,100,000,000

This is the revenue.

We do similar process for time:

9.1*10^1=91

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

\frac{1,100,000,000}{91}=12,087,912.1

The revenue earned per minute is  $12,087,912.1

6 0
3 years ago
I dont know please help
Margaret [11]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=p%28m%29%20%3D%202m%2B8" id="TexFormula1" title="p(m) = 2m+8" alt="p(m) = 2m+8" align="absmidd
Veronika [31]

9514 1404 393

Answer:

  D)  When 10 movies are streamed in a month; the total price that month is $28.

Step-by-step explanation:

Using the function definition, put 10 where you find m, then evaluate:

  p(10) = 2(10) +8 = 20 +8

  p(10) = 28

The function definition tells you this (28) is the price of streaming 10 movies in a month.

6 0
3 years ago
Other questions:
  • (4,2);x=-3 how do you solve this problem
    9·1 answer
  • What is the vertex of the graph of g(x)=|x-9|+3
    14·1 answer
  • The function V= √1.223w expresses the landing speed, V (in feet per second), as a function of gross weight, w (in pounds), of an
    12·2 answers
  • Is 3/2 the opposite of 6/4 on a number line? Please I’m so bad at this
    10·2 answers
  • How do you find the x and y intercepts of the equation 3x-6y=18 ?
    6·1 answer
  • Pls help the question is in the picture
    5·1 answer
  • Express the prime number 19 as the difference of two squares? 19 =​
    11·2 answers
  • the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the neare
    12·1 answer
  • I need help with this.
    15·1 answer
  • Which quadrilaterals have diagonals that are perpendicular?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!