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Answer: 2.375

$${\mathtt{2.375}}{\mathtt{\,\times\,}}{\mathtt{24}} = {\mathtt{57}} = \tiny\text{Error: }$$

depends how much are the games if there $1 then it would be 

Yes I expect that you are right but I think my method is okay too :)

Thanks for the history lesson Geno.

I think Euler is pronounce Oiler.  Do you think that this is correct?

P(t) = 6100*e^0.014t

dP(t)/dt = 0.014*6100*e^0.014t

t = ln(P/6100)/0.014

P = 2.38*6100 

$${\mathtt{t}} = {\frac{{ln}{\left({\frac{{\mathtt{2.38}}{\mathtt{\,\times\,}}{\mathtt{6\,100}}}{{\mathtt{6\,100}}}}\right)}}{{\mathtt{0.014}}}} \Rightarrow {\mathtt{t}} = {\mathtt{61.935\: \!749\: \!120\: \!241\: \!666\: \!2}}$$

t = 61.9357 years

$${\mathtt{dPdt}} = {\frac{{\mathtt{0.014}}{\mathtt{\,\times\,}}{\mathtt{6\,100}}{\mathtt{\,\times\,}}{{\mathtt{e}}}^{\left({\mathtt{0.014}}{\mathtt{\,\times\,}}{\mathtt{61.935\: \!7}}\right)}{\mathtt{\,\times\,}}{{\mathtt{10}}}^{{\mathtt{6}}}}{{\mathtt{365.242\: \!2}}}} \Rightarrow {\mathtt{dPdt}} = {\mathtt{556\,485.149\: \!380\: \!397\: \!522\: \!958\: \!7}}$$

dP/dt = 556485 individuals per day

(Edited to correct the expression for t)

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I think that to

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Assuming log to the base 2 is intended then my approach is as follows:

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try pressing the - button. 

So you found that (0,0) is one solution - that is certainly correct:)

3×| 4 - 5|×| 15| - | - 2| =

3 x (1) x 15 - 2 =

3 x 15 - 2 =

45 - 2 =

43

I got

x approx 7.39 and x approx 54.6

Here it the graph that i used.

Thanks Chris.

I can't say I remember ever doing this sort of problem before at all (though this could also be because my memory is fading even faster!), and it wasn't immediately obvious to me how to do it.  It's one of those problems for which the approach seems "obvious" after it's been done!

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Nicely done, Alan....I remember this kind of problem, but I couldn't remember the set-up. Thanks for jogging my (increasingly fading) memory!!!

This should help:

Forgot to put ticket price:  p(15) = $55

You would only multiply both sides by 3-7 if the question were  p/(3-7) = -2

As written, namely p/3 - 7 = -2 you first add 7 to both sides to get p/3 = 5, then multiply both sides by 3 to get p = 15

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With y = m*x + c the slope, m, is m = (9 - 8)/(5 - 3) or m = 1/2.  

Use one of the points to get c:  8 = (1/2)*3 + c so c = 8 - 3/2 or c = 13/2

Therefore:  y = (1/2)*x + 13/2

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C(n) =75n² - 1800n + 60 000....if you have had Calculus, this can be determined rather quickly.....but let's assume you haven't......

This function is a parabola that turns "upward"....the quantity that will minimize the cost will be the x coordinate of the vertex (the point at the "bottom" of the curve) found by this "formula"...

x =  - b/2a       in our function, b = -1800    and a = 75    .....therefore.....

-(-1800)/[2(75)] = 1800/150 = 12 items   

Let N be the number of weeks she has received the $20.

So we have

20N + 100 = 320     subtract 100 from each side

20N = 220              divide both sides by 20

N = 11      ...so, she has been saving for 11 weeks

Think about it

sine of an angle is opposite over hypotenuse in a right angled triangle.

The hypotenuse is the longest side so sine of the angle cannot be more than 1!

Is 18 to the power of 6 or to the power of 6x?

It is good to use brackets :)

why dont you actually give us a polynomial question. ?

Why dont you google it and come back and tell us the answer?

or just 20/100*6.87

$${\frac{{\mathtt{20}}}{{\mathtt{100}}}}{\mathtt{\,\times\,}}{\mathtt{6.87}} = {\frac{{\mathtt{687}}}{{\mathtt{500}}}} = {\mathtt{1.374}}$$