Alan

If you want the result in fraction form, express both fractions over a common denominator:

4/5 = 4*8/(5*8) = 32/40

and

1/8 = 1*5/(8*5) = 5/40

Now you have 4/5 + 1/8 = 32/40 + 5/40 = 37/40

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If y = 2x - 3 and y = -3x + 2 then:

2x - 3 = -3x + 2

Add 3x to both sides:

5x - 3 = 2

Add 3 to both sides

5x = 5

Divide both sides by 5

x = 1

Put this value back into y = 2x - 3 to get

y = 2*1 - 3

or y = -1

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When the equation is in this form, the slope is the number multiplying the x.  The other constant (including the sign) is the y-intercept.

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If you meant to write 12x³ - 27x² - 40x + 90 then

$${factor}{\left({\mathtt{12}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{3}}}{\mathtt{\,-\,}}{\mathtt{27}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{40}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{90}}\right)} = \left({\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{9}}\right){\mathtt{\,\times\,}}\left({\mathtt{3}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{10}}\right)$$ 

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You can use the calculator here, noting that there are 60 minutes in a degree:

$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{tan}}{\left({\mathtt{29}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{12}}}{{\mathtt{60}}}}\right)} = {\mathtt{0.558\: \!881\: \!109\: \!6}}$$

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Well, the starting value (N₀ in my notation, A in yours) is 2000. This is the value at time t = 0.

At time t = 4 the value of N (my notation) or P (your notation) is 2200. 

So at time t = 4 we have 2200 = 2000*e^k*4

Divide both sides by 2000

2200/2000 = e^k*4

or 1.1 = e^k*4

Now take logs of both sides:

ln(1.1) = ln(e^k*4)

or ln(1.1) = k*4    (because ln(e^x) = x)

Divide both sides by 4

ln(1.1)/4 = k

$${\mathtt{k}} = {\frac{{ln}{\left({\mathtt{1.1}}\right)}}{{\mathtt{4}}}} \Rightarrow {\mathtt{k}} = {\mathtt{0.023\: \!827\: \!544\: \!951\: \!081\: \!2}}$$

Now use this value of k to find N (my notation) or P (your notation) at time t = 9

P = 2000*e^{0.023827544951*9}

$${\mathtt{P}} = {\mathtt{2\,000}}{\mathtt{\,\times\,}}{{\mathtt{e}}}^{\left({\mathtt{0.023\: \!827\: \!544\: \!951}}{\mathtt{\,\times\,}}{\mathtt{9}}\right)} \Rightarrow {\mathtt{P}} = {\mathtt{2\,478.355\: \!127\: \!582\: \!545\: \!6}}$$

or P ≈ 2478

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You can use the calculator here to find the prime factors:

$${factor}{\left({\mathtt{217}}\right)} = {\mathtt{7}}{\mathtt{\,\times\,}}{\mathtt{31}}$$

If you are after all the factors, not just the prime ones, then, in this case, the only others are 1 and 217 itself.

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Your expression is mathematically the same as mine Anonymous.  You've just used different symbols!