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Andre45 [30]
3 years ago
6

The population of a small town can be described by the equation PN equals 4000+70n. Where n is the number of years after 2005. E

xplain in words what this equation tells us about how the population is changing.
Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).

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Raymond bought a used truck for $18,800. If the sales tax in his state is 7 percent, what was the final price for his car?
Ksju [112]

Answer:

20116

Step-by-step explanation:

18880 x .07 = 1316

18800 + 1316 =20116

6 0
3 years ago
Read 2 more answers
A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any
lord [1]

Answer:

\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}

Step-by-step explanation:

Given:

  • Focus = (-5,-4)
  • Directrix = -6

To find:

  • Parabola Equation

Locus of Parabola (Upward/Downward)

\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}

Where:

  • (a,b) = focus
  • c = directrix

Hence:

\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}

Cancel square root by squaring both sides as we get:

\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}

Solve for y-term:

\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}

4 0
1 year ago
Someone please help me in this I don’t know it I don’t wanna fail please...I’m so bad at math
Tanya [424]

Answer: <em>C</em>

Step-by-step explanation:

<em>In 2 games the team had </em><em><u>zero</u></em><em> runs</em>

<em>In 1 game the team had </em><u><em>one</em></u><em> run</em>

<em>In 1 game the team had </em><em><u>two</u></em><em> runs</em>

<em>In 3 games the team had </em><em><u>three</u></em><em> runs</em>

<em>In 2 games the team had </em><em><u>four</u></em><em> runs</em>

<em>In 1 game the team had </em><em><u>five</u></em><em> runs</em>

4 0
2 years ago
-2&gt;3(b+4)/-2
krek1111 [17]

Answer:

$b>-\frac{8}{3}$

Step-by-step explanation:

$-2>\frac{3(b+4)}{-2}$

Multiply both sides by –2 (which flips the sign):

$4

Divide both sides by 3:

$\frac{4}{3}

Subtract 4 from both sides:

$\frac{4}{3}-4

Make 4 an improper fraction with a denominator of 3:

$\frac{4}{3}-\frac{12}{3}

Subtract:

$-\frac{8}{3}

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7 0
3 years ago
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mojhsa [17]

Answer:

1 and 5/6 for first problem

7 0
3 years ago
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