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It is worth $1210 now    the interest earned is $210

Simple interest

I = Prt

210 = 1000(r)2

210 = 2000 (r)

r = .105 = 10.5% = simple interest rate

Compound Interest

1210 = 1000(1+ r)²    Divide both sides by 1000

1.21 = (1 + r)²           Take the log of both sides

log 1.21 = log (1 + r)²    By a property of logs, we have

log 1.21 = 2 log (1 + r)    divide by 2 on each side

(log 1.21) / 2 = log (1 + r)

.041392685158225 = log (1 + r)

So we have

10^{.041392685158225}  = r + 1

1.099999999999999897 = r + 1   subtract 1 from both sides

r = .0999999 =  9.99999% = 10% = compound interest rate

For the general quadratic equation a*x² + b*x +c = 0 the solutions are given by:

$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ 

By rearranging 7x² = 2x - 5 to 7x² - 2x + 5 = 0 we have here that a=7, b=-2, c=5 so

$$x=\frac{2\pm\sqrt{2^2-4*7*5}}{2*7}$$ which results in:

$${\mathtt{7}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{5}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{34}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,-\,}}{\mathtt{1}}\right)}{{\mathtt{7}}}}\\
{\mathtt{x}} = {\frac{\left({\sqrt{{\mathtt{34}}}}{\mathtt{\,\times\,}}{i}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right)}{{\mathtt{7}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}\left({\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{7}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.832\: \!993\: \!127\: \!834\: \!905\: \!8}}{i}\right)\\
{\mathtt{x}} = {\frac{{\mathtt{1}}}{{\mathtt{7}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{0.832\: \!993\: \!127\: \!834\: \!905\: \!8}}{i}\\
\end{array} \right\}$$

Thanks.ilysm

So 67% of 172 =

.67 x 172 = $115.24  = child ticket cost

So

2 adult tickets x their cost(172) + 4 child tickets x their cost(115.24) = $804.96

If sin=4/5 then we can picture the well known 3, 4, 5 right-angled triangle; so cos = 3/5.

Urgently!Please!Its N emergency 

So

2/3x = (3/2)^-1

2/3x = (2/3)     cross multiplying, we get

6 = 6x

So....... x = 1

Remember...... (a/b)^-1 = (b/a)

295 / 48  = 6.15 buses....but since we can't have a "part of a bus," we need 7.

Using the arcsin function

asin(4/5) = about 53.13 degrees

This angle could lie in the 2nd quadrant, too=  (180 - 53.13) = 126.87 degrees

The slant height is irrelevant

The area of the base = 12 x 12 = 144m²

So we have

3 (6.25) = 4s   divide both sides by 4

(3/4) (6.25) = s

s = 4.6875 lbs.

A triangle is a polygon made of three lines and angles, with the measurements of each angle adding up to 180 degrees. Neither the lines nor angles have to be the same size.

I'm going to ignore your question.......you can ask it later......without the language.............

2^(-3) =

(1) / (2^3)  =

1/8

Remember.......a^-n = 1 / aⁿ

Let's just subtract the second equation from the first

-5y = 14     divide both sides by -5

y = -14/5

Now using 2x + 10y = 10  and substituting -14/5 for y, we have

2x + 10 (-14/5) = 10

2x - 28 = 10     add 28 to both sides

2x = 38     divide by 2 on both sides

x = 19

So x = 19 and y = -14/5

You should verify these answers in both equations!!

2 trillion

There aren't any values to the X or Y?

hi. question?

There is nothing to "solve"     We can "simplify" it as:

1 +12 - 3x =

13 - 3x

We have to have an "=" sign someplace in order to "solve" something....

Hi heureka!

as DavidQD pointed out, this problem is a result of the calculation precision of the internal calculation algorithms. The configured precision for each function (factorial, sin, cos, sqrt..)  is a trade-off between accurancy and server costs.

I was able to configure a much higher precision for the factorial function because of some new powerful servers. (for factorial inputs below 199!)

> (23-1)! mod 23 must be 22 ( or -1).

this should be now improved as well

Thank you very much for your feedback, I really appreciate it!

btw: a automatic image sizing feature will be availabe soon

admin

If you want a "non-decimal" answer...

√20 = √4 * √5   = 2√ 5

Cosx=(2.4/3)

Using the inverse cosine function, we have

arcos (2.4/3) = about 36.87 degrees

Also, realize that this angle might also lie in the 2nd quadrant = 180 - 36.87 = `143.13 degrees

@admin help