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TEA [102]
3 years ago
15

42) According to the 2000 Census the population of Canton was 7,720. Holly Spring's population was 3,200. Canton's population in

creases at a rate of 80 people a year and Holly Spring's population increases by 120 people a year. Which equation may be used to determine the number of years before the populations are equal?
Mathematics
1 answer:
Fiesta28 [93]3 years ago
3 0
Let's construct an equation for Canton's population increase as 7220+80n and Holly Spring's population increase with 3200+120n, where n is the number of years. We have to set these equations to each other in order to find when the population of these two places are equal. 3200+120n=7220+80n and n=100.5. After 100 and half years
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Twenty two quarts is equivalent to how many gallons?<br> 4.5<br> 5.5<br> C<br> 6.5<br> 7.5
marysya [2.9K]

Answer:

5.5 gallons

Step-by-step explanation:

There are 4 quarts in 1 gallon.

22 ÷ 4 = 5.5

I hope this helps :)

4 0
3 years ago
Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)
Free_Kalibri [48]

Answer:

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \frac{2}{14}

p = \frac{1}{7}

Therefore, equation will be,

f(x) = \frac{1}{7}(x+5)(x-1)(x-4)

5 0
3 years ago
Carmen received a gift of $5,000 from her grandmother and decided to invest it. the expression 5000(1.0005)^12t represents the a
Natalija [7]

The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.

<h3>What is the equivalent expression?</h3>

Based on the expression given, Carmen's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^nm

  • FV = Future value
  • P = Present value
  • R = interest rate
  • m = number of compounding
  • N = number of years

5000(1.0005)^12t

= 5000(1.0005^12)^t

50002.5^12t

Please find attached the complete question.To learn more about future value, please check: brainly.com/question/18760477

7 0
1 year ago
I graphed but do not understand, Please explain. Figure shown.
kodGreya [7K]

Answer:

its up.

Step-by-step explanation:

PLZ, MARK ME BRAINIIEST!!

8 0
3 years ago
Read 2 more answers
L = $20 r = 4% t = 2 years
Annette [7]
I'm guessing this is a question about interest rates? If you have $20 that increases by 4% in one year, you need to multiply 20 by 1.04. This gets you $20.8.

If you are talking about compound interest, we will take this number and multiply it again by 1.04 for the second year. 20.8 x 1.04 = $21.632. 

If it is instead simple interest, we will simply add another .8 dollars for each year, instead of getting 4% interest compounded every year onto the new value. This gets you $21.6.
7 0
2 years ago
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