AJ worked 48 hours last week. He earns $12.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours.

Mathematics

2 answers:

Lynna [10]2 years ago

5 0

Answer:

$644.80 is the correct answer

Romashka [77]2 years ago

3 0

The answer is 595.20 because 12.40 x 48 = 595.20

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The heart beats 103680 per year, how many heart beats per minute?

kompoz [17]

Answer:

Step-by-step explanation:

60 sec= 1 min

60min=1hour

24hours=1day

7days=1week

52 weeks =1 year

24x7= 168hours in a week

168hours x 52 =8736 hours in a year

8736x60=524160mins

524160mins= 1 year

the heart beats 103680 in a year

the heart will beat 524160/103680=5.05555555556 in a minute

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3 years ago

If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

$\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}$

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The rational term vanishes as x gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if a = 1 and b = -1.

To confirm, we have

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0$

as required.

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3 years ago

What is the slope for (0,1) and (3,0)

Dmitry [639]

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