Round to the nearest thousand, 5870

Mathematics

1 answer:

andrew11 [14]2 years ago

4 0

Answer: 5870 rounded to the nearest thousand is 6000

Step-by-step explanation:

Remember, when we round we have to be careful with the place value they are asking you to round to. Here, they want you to round to the thousands place. So, you have to look at the hundreds.

5870. 800 is the hundreds, and it is greater than “5”. So, you round to the next thousands. It happens to be 6000.

Hence, 5870 rounded is 6000.

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Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

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$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill$