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vesna_86 [32]
3 years ago
14

If a town with a population of 10,000 doubles in size every 17 years. What will the population be 68 years from now?

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Let us set up the equation:

total population = 10000*(2)^{68/17}=10000*(2^4)=160000 people

  • 10000 is the initial population
  • 2 is the rate at which the population grows
  • 68/17 is the number of periods that the population grows

Hope that helps!

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Can someone help me answer these two questions? I wanna know what's right and wrong. Please correct me if Necessary
agasfer [191]
Remember that the general equation of a line is y=mx+b, where:
m is the slope, and b is the y-intercept; so to find the y-intercept, solve for y and identify b.
Now, to find the x-intercept, just replace y in your line equation with 0, and solve for x
Lets apply those procedures to our two questions:

1. - y-intercept:
-10x+5y=40
5y=10x+40
y= \frac{10x+40}{5}
y=2x+8
Notice that now we have our line equation in the form y=mx+b with m=2 and b=8; sine b is the y-intercept, we can conclude that the y-intercept of our equation is 8.

x-intercept:
First, lets replace y with 0:
0=2x+8
And then, we can solve for x to find our x-intercept:
2x=-8
x= \frac{-8}{2}
x=-4
We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one: x-intercept is -4; y-intercept is 8.

2. y-intercept:
5x+4y=80
4y=-5x+80
y= \frac{-5x+80}{4}
y=- \frac{5}{4} x+20
We can conclude that our y-intercept is 20.

x-intercept:
0=- \frac{5}{4} x+20
- \frac{5}{4} x=-20
x=( \frac{4}{5} )(20)
x=16
We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one: x-intercept is 16; y-intercept is 20.

7 0
3 years ago
Write a mixed number that is equivalent to 16 over three
zzz [600]

Step-by-step explanation:

Set up the division problem in long division format.

Divide 16 by 3

. Place this digit in the quotient on top of the division symbol. Multiply the newest quotient digit (5) by the divisor

Subtract 15 from 16

The result of division of 163 is 5 with a remainder of 1

  1. Use the long division solution to convert the original fraction (163)
  2. to a mixed number. The whole number portion of the mixed number will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction (5), and the fraction portion of the mixed number will be the remainder of the original fraction division (1) over the denominator of the original fraction (3)

513

answer: 5 and one third

5 0
3 years ago
Find the value of f(2).<br> y = f(x)
ololo11 [35]

Answer:

2

Step-by-step explanation:

Looking at the graph, it is 2.

3 0
3 years ago
A store sells tea cups in sets of 9 and saucers in sets of 12. The store sold the same number of individual cups and saucers in
BlackZzzverrR [31]

The first five multiples of 9 are 9 18 27 36 45 I hope that's what you mean.

The prime factors of 9 and 12 are

9: 3 * 3

12: 3 * 2 * 2

The LCM is 3*3*2*2 is 36

The store sold 4 sets of cups ans 3 sets saucers. Answer

6 0
4 years ago
I need help finding the answer
Deffense [45]

Answer:

3

Step-by-step explanation:

as the hour goes up one the temperature rises by 3

3 0
4 years ago
Read 2 more answers
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