the layers are triangular numbers: 1,3,6,10, ... n(n+1)/2 The pyramid is pyramidal numbers: 1=1 1+3=4 1+3+6=10 ... 1+3+...+n(n+1)/2 = n(n+1)(n+2)/6 Now just plug in n=10
broken up how? If the distance swum is proportional to the age, then since the sum of the ages is 100, Jenny would swim 19/100 of the 400m, or 19*4=76m Annie: 20/100 * 400 = 80m and so on
if they drive in opposite directions from the same place, they will never meet. You have to say how far apart they started, and in what direction they drive.
d^3 + 3d^2(-4b) + 3d(-4b)^2 + (-4b)^3 = d^3 - 12d^2b + 48db^2 - 64b^3
pi r^2 = 2pi r divide by pi*r to get r=2 Since P is a circle, it makes no sense to say the "diameter must be greater than P".
radius is 5, so since (3,0) is 5 units to the left of (8,0), that's our point. (d)
You have listed the 4 roots, so y = a(x+4)(x+2)(x)(x-1) = a(x^4+5x^3+2x^2-8x)
assuming you want a polynomial of lowest degree, that would be a cubic y=ax^3+bx^2+cx+d (1,1): a+b+c+d=1 (0,1): d=1 (2,5): 8a+4b+2c+d=5 (-1,-5): -a+b-c+d=-5 solve the system to get (and avoiding fractions) 3y = 5x^3-9x^2+4x+3
Business Math and Statistics
1000(1+.02)^4 = 1082.43