Area = l x w and l = 10w
264 = 10w * w = 10w^2
w^2 = 26.4 (w = sqrt 26.4) (l = 10 sqrt26.4)
w = 5.138 l = 51.38
alcohol in ingredients = alcohol in final soln
x = 20% volume
40 = 50% volume
(x+40) = 30% volume
.20(x) + .50(40) = .30(x+40)
.2x + 20 = .3x + 12
.1x = 8
x = 80 gallons of 20% alcohol needed
x from -1 to -7 is distance of -6 5 / (5+3) = 5/8 ths of this is added to -1 to get x = -4 6/8 = -4.75
y from -5 to 11 is distance of 16 5/8 of this is added to -5 to get y = 5
( -4.75,5 )
cos (5 R) = .28
so sin (5 R) = y = -.96
100 + 100(.01) * 6 = $......... in six years
7 p 2 d 3 n just by looking at it .......
I do not know if my answer is corrector not...if it is, let me know and I will show you how I arrived to it
1024 ways assuming the students are distiguishable
Fc = mv2 / r
14700 kg-m/s2 / 9.81 m/s2 = 1498.47 kg mass of car
52.5 km/hr = 14.583 m/s
Fc = 1498.47 * (14.583)2 / (160) = 1991.78 N
us = v2 /( rg) = 14.5832 / (160 * 9.81) = .135 (coefficient of static friction)
I suspect it is a fountain (like a decorative water fountain in a garden etc) .... that is circular in shape ...... a circle of x diameter or perhaps x radius
128 500 = pv (1+ .065/2)8*2 solve for pv interest is then 128500 - pv
.065/2 is interest per period in decimal form (twice per year) and there are 8*2 periods in eight years
