CPhill

Hey...I like that PM.....!!!!!

2.    AC  =  AB    .....so

x + 8  =   2x  - 1           add 1 to both sides....subtract x from both sides

9  =   x

So....BC   =  3(9) - 3    =    24

1.  Since AC   = BC.....the two base angles are equal  = 50°

And since the sum of three interior angles in a triangle  =  180°.......then

50 + 50 + 5y + 10   = 180

110 + 5y   =  180       subtract 110 from both sides

5y   =  70       divide both sides by 5

y  =  14

Thanks, EP....but the answer is  0

The Government would have spent it all and there would be NO MONEY left in the Fed Reserve Bank....

21%   

Remember that  "percent"....means "per hundred"....so we have "21 per 100"  =

21  / 100

2P  = P*e^(.056 * t)          divide both sides by P

2  =   e^(.056 * t)          take the natural log of both sides

Ln 2  = Ln e^(.056 * t)       and we can write

Ln 2   =  (.056 * t )  * Ln   e         since Ln e  =   1, we can ignore this

Ln 2   = .056 * t       divide both sides by .056

Ln 2  / .056   = t  ≈  12.37   yrs

e^(3x + 5)   = 9       since "e" is involved, take the natural log of each side

Ln  e^(3x + 5)   = Ln 9      and we can write

(3x + 5) * Ln e   =    Ln 9        Ln e   = 1....so we can ignore this

3x + 5   =   Ln 9       subtract 5 from both sides

3x   =  Ln 9 -  5       divide both sides by 3

x  =   Ln 9 - 5

         ______

             3

Thanks, Melody....

This could also indicate that we want to take the dot product of the vectors

(3, 1, 3)   and ( 2, 3, 4)   =

We just multiply  like components and add these products....so we have

3*2  + 1*3  + 3*4   =

6   +  3   +   12  =

21

Slope = -5/2

Point (2,8)

We want the form    y = mx + b

Where m is the slope and b is the y intercept

So we have

y = (-5/2)(x - 2) + 8     simplify

y = (-5/2)x + 10/2 + 8

y = (-5/2)x + 5 + 8

y = (-5/2)x + 13

Probability of Living one more year   =

1 - Probability of Dying   =

1 - 264.1 / 100000     ≈  99.7%