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vagabundo [1.1K]

3 years ago

8

A city has a population of 260,000 people. Suppose that each year the population grows by 5.5% . What will the population be aft

er 8 years?

2 answers:

Maurinko [17]3 years ago

6 0

I got 638,181. 260,000 divided by 5.5. That times 8. Plus 260,000

ANEK [815]3 years ago

5 0

628,182 is the answer to this question

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Find the exact solutions of x2 − 3x − 5 = 0 using the quadratic formula. Show all work! 75 points please help!!!!!

noname [10]

Answer:

$x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}$

Step-by-step explanation:

<u>Quadratic Formula</u>

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\quad\textsf{when }\:ax^2+bx+c=0$

<u>Given quadratic equation</u>:

$x^2-3x-5=0$

<u>Define the variables</u>:

$\implies a=1, \quad b=-3, \quad c=-5$

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

$\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)}}{2(1)}$

$\implies x=\dfrac{3 \pm \sqrt{9+20}}{2}$

$\implies x=\dfrac{3 \pm \sqrt{29}}{2}$

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

$x=\dfrac{3+ \sqrt{29}}{2}, \quad \dfrac{3- \sqrt{29}}{2}$

Learn more about the quadratic formula here:

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