This is an equation of a line
Here's the graph......
GRAPH
cos Θ = sin (90 - Θ)
So
cos(52 ) = sin(90 - 52) = sin(38)
This is given by
100 + [100(1 - .5^3) / .5 ] =
100 + 175 =
275 ft.
He eats 1/7 of the apple every 6 seconds ..so, he eats 10 times this much in 1 minute
(10)(1/7) = 10/7 apples in 1 minute
This is a linear equation, so it will have, at most, one solution
-9(-11x +6) = -43(-23 - 4x) simplify on one side
99x - 54 = 989 + 172x subtract 172x from both sides and add 54 to both sides
-73x = 1043 divide both sides by -73
x = -1043 / 73
We have
2009 = 328/(1 -r) multiply bth sides by (1 -r0
2009 (1 - r) = 328
2009 - 2009r = 328 rearrange
2009 - 328 = 2009r
1681 = 2009r divide both sides by 2009
1681 / 2009 = r = 41 / 49
2^30 x 4 = {we're using the rule a^m * a^n = a^(m + n) } .... so .....
2^30 x 2^2 =
2^(30 + 2) =
2^(32)
And there you are.....!!!
Income - Outgo =
(15 x 47) - 220 = $485
The stamp is now worth $2.50
So in 12 years, it will double four times....so we have
2.50(2)^4 = $40
It's just the area of the base times the height......