Interest per period (period = month) = .06 / 12 periods = 12
6500 (1 + .06/12)12 = $ ................
Laptop 15% off means you pay 85% then take $ 50 off
x(.85) - 50 = $ 664 solve for 'x' the original price
.... or 4.6/48= .09583 miles/min or 48/4.6 = 10.43 minutes per mile
cos (x) not refelected = cos (x)
Amplitude = 6 multiply the function by 6
Vertical translation DOWN 5 subtract 5 from the function
Period 5pi/6 2 pi / (5pi/6) = 12/5 x for the object of the cos function
y = mx + b
y = -3/7 x + 18 x intercept is when y = 0 .....put that in
'0' = -3/7x + 18 solve for x
Volume of a sphere = 4/3 pi r^3 If 9 = r then just plug in and compute
if 9 = d then r= 9/2 plug in and compute
answer will be in cm3 units
This is an arithemtic series with d = 1
S = (n/2) × (2a + (n−1)d)
S = sum = 999/2 (2 + 998(1))
= 499500
5 4x4 faces = 80 1 inch sides of cubes
64 cubes = 64 x 6 = 384 total sides
80/384 = 5/24 probability of painted face showing
Sorry..... I gave answer for a POINT that is one unit from the origin on a line with slope = 4
Slope = rise over run or y /x so y = 4x
Pythag theor x^2 + (4x)^2 = 1^2
17x^2 = 1
x^2 = 1/17
x = sqrt (1/17) y = 4 sqrt (1/17)
Area = 1/2 b h = 1/2 x y = 1/2 sqrt 1/17 * 4 sqrt 1/17
= 2 (1/17) = 2/17 units2
cubrt (1000 x 3 x 3 x 3 x 3 x 2 x 2 )
10 cubrt ( 3 x 3 x 3 x 3 x 2 x 2)
30 cubrt (3 x 2 x 2 )
30 cubrt (12)