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250% means =250/100 =2.5, so:

2.5 x 44 =110. This is your exact answer.

23^2113 mod 46,946,213 =14,952,647

Okay... what?

5 divided by 5 is 1 because 5x1 equals 5

Thanks Trincent and bioplant.  Much appreciated    

5i+-i = 5i - i = 4i

you multiply 8 x -6.5

then add 2 to that

finale step is to x by -2

Is that the whole problem?

What you probably want is exactly the opposite of what you are doing:

e^.50 =1.64872127..... - 1 x 100 =64.87%. What this means is that if you compound 50% continuously you will have an EFFECTIVE annual rate of 64.87%.

No

2 is NOT a factor of 75 because if you divide 75 by 2 you get a remainder.

No problem!

The area of a triangle is ( base * height ) / 2

So then A= (5*12)/2 = 30

Alright! Thank you for your help!

Make the equation in terms of y = x

3x+qy = -q

3x = -q -  qy

3x = -q (1+y)

3x/ -q = 1+y

(-3x/q) - 1 = y 

slope equation y= mx +b

\((-3/q) *x -1 =y\)

mx = slope so then m = -3/q

Slope = -3q

Silly me I'm not sure why I thought there'd be an infinite amount of solutions. I thought that taking the arcsine would add a period of 360 degrees to the answer I suppose. Thank you. Is there a way to solve this algebraically? And an additional question for sinx = 1 - x/pi. Can I solve that algebraically? I imagine it'd be mire difficult.. 

Your question isn't clear! Is it 4% per year for 3 years, or as you say "4 percent over 3 years"?

There is a significant difference between the two statements.

If 4% per year for 3 years, then =2,690,000 x 1.04^3 =~3,025,884 cars

If it is 4% over 3 years =2,690,000 x 1.04 =2,797,600

Source:http://www.rocketmime.com/rockets/exp.html

exp means e^x where e is Euler's number

\(e(-4(1-(16.2/90.75)^2 = 0.0208055958562694​\)

Source:http://www.regentsprep.org/regents/math/algebra/ae7/expdecayl.htm

Exponential Growth Formula : 

\(y= a(1+r)^x\)

where a is the initial amount 

           r is the rate at which it increases 

           x is the time in which the growth occurs

Now plug it in:

a= 2.69 million

r= .04 (4%/100)

x=3

\(y=2.69(1+0.04)^x \)

\(y= 2.69(1+0.04)^3 = 3.02588416​\)

There will be about 3.03 million cars

Since 12.011 is the molecular mass of Carbon-12, therefore it must be equal to exactly 1 mole =6.022 x 10^23 atoms.

1/cos(log(sqrt(sqrt(517)))) = 1.0000700949529581

1.0000700949529581^(351*28) = 1.9914620248323148696

1.9914620248323148696-1.9914620248314661 = 0.0000000000008487696

Sources: http://www.mathwarehouse.com/geometry/triangles/area/herons-formula-triangle-area.php

               https://www.mathsisfun.com/algebra/trig-cosine-law.html

Using the law of Cosines:

 \(C^2 = A^2 +B^2 - 2ABcos(c)\)

Where C is the unknown side

            A is one the known sides

            B is the other known side

            c is the angle between the two known sides

Now plug in values to find C

\(C^2 = 5^2 + 8^2 - 2(5)(8)cos105\) = \(109.7055 \)

\(\sqrt(C^2)= C\)

\(\sqrt(109.7055)\) = \(10.474 = 10.5 = C \)

Finding the area (using Heron's Formula);

\(Area= \sqrt(S(S-A)(S-B)(S-C)\)

where S is the semi-perimeter (half the perimeter)

           A is one of the sides

           B is another side

           C is the final side

Now to plug it in:

The area is 19.9

Statistical file:
{12, 16, 23, 38, 11, 28, 19, 31, 25, 17}


Average (mean): μ=22
Absolute deviation: 70
Mean deviation: 7
Minimum: 11
Maximum: 38
Variance: 67.4
Standard deviation σ=8.20975030071
Corrected sample standard deviation s=8.65383665716
Coefficient of variation cV=0.393356211689
Mode: {11, 12, 16, 17, 19, 23, 25, 28, 31, 38} - multimodal
Geometric mean: 20.4732486144
Harmonic mean: 19.0127105097
Sum: 220
Sum of absolute values: 220
Average absolute deviation: 7
Range: 27