ElectricPavlov

315⁰   is similar to 45^o    cos is the same     but  sin is neg

coordinates  (x,y)   =   ( sqrt2/2  ,  -sqrt2/2 )

4 divided by 15   times 100% = ~26.7%

500 000  to  550 000    is 10% increase  or   geometric ratio   1.1

future value would be     500 000 (1.1)ⁿ     where n = years

.30 (x)               =  .04 (280+x)         solve for 'x'  ml

total codes possible with no zero    9 x 8 x 7    =   504

    4 out of 9  numbers are even      4 x 3 x 2    =   24        all even

24/504      or    1/21   

Vertex at 0,0     and includes  20,20   obviously is opening UPWARD....like a bowl

-b/2a  = 0     so b = 0                h, k = 0 , 0

ax^2    = 20

a20^2  = 20

a = 20/400 = .05

y = .05 x^2                  or     y= .05(x-0)^2   + 0

Graph:

https://www.desmos.com/calculator/f5ghmltx1e

3.  Divide   f(x)  into the product   f *g    to find  g(x) 

4.   I'm not sure I understand this question      f*g  =  g*f       ??

                -3x (x^2/(2x-3))   =     -3x^3 / (2x-3)      x cannot equal 1  1/2     otherwise all  x   ??

2x+10     and     x+26 form a straight line     so   summed they equal 180^o

 2x+10       +   x+26   = 180      solve for 'x'

In 3 hours   D   rides  14 m/h x 3 hr = 42 miles      at the same time    Elizabeth covers 18 miles running

D ditches his bike      Elizabeth still has to run 24 miles to the bike   which will take her 4 more hours at 6m/hr

     in that 4 hours D  covers  8 miles walking       Elizabeth starts riding  12 m/hr   which is 10 m/r faster than D is walking

          she will close that 8 miles  in   8/10 of an hour  and catch D
 

3 hours   +  4 hours   +  8/10 hr   =    7  4/5  hours after they started

I will say it is 160 years     EDITED: CHANGED YEARS FROM 170 to 160

monthly      interest is   4 /12 = .3333 %    = .003333      28 (1.00333)^{(160 * 12)} = 16672.20

continuously  =   28 e^rt  = 16851.66