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Roman55 [17]
3 years ago
12

Suppose the population of a town is 567 in 2001. The population decreases at a rate of 1.5% every year. What will be the populat

ion of the town in 2010? Round your answer to the nearest whole number.
1.) A is congruent to 487 people
2.) A is congruent to 467 people
3.) A is congruent to 495 people
4.) A is congruent to 465 people
Mathematics
2 answers:
igomit [66]3 years ago
7 0

for the formula is

 Y = starting population x (1-rate of change)^number of years

2010-2001 = 9

Y= 567 x (1-0.015)^9 = 494.89, round up to 495 people

Kruka [31]3 years ago
5 0

Answer:

The answer is 495 people.

Step-by-step explanation:

In 2001, the population of the town is = 567

The population decreases at a rate of 1.5% every year.

This is an exponential decrease, so we can write the expression as :

((1-.015)^9)(567)

= ((0.985)^9)(567)

0.87282\times567 = 494.888 ≈ 495

Therefore, the answer is 495 people.

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3 years ago
If ΔABC is an equilateral triangle with, AB = 2x + 17, BC = 6x - 19, AC = 4x-1, find x and the measure of each side
Soloha48 [4]

Answer:

x=9, AB=BC=AC=35

Step-by-step explanation:

Equilateral triangles have 3 congruent sides, so all 3 sides have the same length. Therefore, we know that AB=BC=AC. We are given the lengths of all 3 sides in terms of x, but we only need to set two of them equal to each other to solve for x. Let's use AB and BC to solve for x. We know that AB=BC, AB=2x+17, and BC=6x-19. Therefore, we can write the following equation to solve for

AB=BC\\2x+17=6x-19 (Substitute given values into equation)

Solving for x, we get:

2x+17=6x-19\\2x+17-17=6x-19-17 (Subtract 17 from both sides of the equation to isolate constants)

2x=6x-36 (Simplify)

2x-6x=6x-36-6x (Subtract 6x from both sides of the equation to isolate x)

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\frac{-4x}{-4}=\frac{-36}{-4} (Divide both sides of the equation by -4 to get rid of x's coefficient)

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Therefore, AB=2x+17=2*9+17=18+17=35, and AB=BC=AC=35. Hope this helps!  

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2 years ago
In the function y = 15.00x + 5, y represents the cost of a ticket to the fair and x represents the number of tickets purchased.
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