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3 years ago

11

The population of a town in 2000 was 430. The population is increasing at a rate of 0.9% every year. What will be the projected

population of the town in 2010? Round your answer to the nearest whole number.
options are 440,450,460,470

1 answer:

never [62]3 years ago

5 0

The formula is
P=Ae^rt
P ?
A 430
R 0.9/100=0.009
T time 2010-2000=10 years
E constant
P=430×e^(0.009×10)
p=470

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Answer:

Part 1) $2(x-3)^{2}-17=0$ (the missing steps in the explanation)

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Step-by-step explanation:

Part 1) we have

$2x^{2} -12x+1=0$

Convert to vertex form

step 1

Factor the leading coefficient and complete the square

$2(x^{2} -6x)+1=0$

$2(x^{2} -6x+9)+1-18=0$

step 2

$2(x^{2} -6x+9)+1-18=0$

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Rewrite as perfect squares

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Complete the squares

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$f(x)-4=-(x^{2}-16x+64)$

Rewrite as perfect squares

$f(x)-4=-(x-8)^{2}$

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$-2(x-2)^{2}=-5$

$(x-2)^{2}=2.5$

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$(x-2)=(+/-)1.58$

$x=2(+/-)1.58$

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$x=2(-)1.58=0.42$

Part 5) we have

$f(x)=-x^{2}+50x-264$

we know that

The zeros or x-intercepts are the value of x when the value of the function is equal to zero

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To find the zeros equate the function to zero

$-x^{2}+50x-264=0$

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$-(x^{2}-50x)=264$

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$-(x^{2}-50x+625)=264-625$

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$(x^{2}-50x+625)=361$

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$(x-25)^{2}=361$

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$x=25(+/-)19$

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Convert the equation into vertex form

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$-2(x^{2}-14x+49)+20+98$

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Rewrite as perfect square

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Convert to vertex form

$f(x)+10=-x^{2}+8x$

Factor -1 the leading coefficient

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