This problem Is an example of geometrica progression. The formula
for the sum of geometric progression is:
S = a[(r^n)-1] / (r – 1)
Where s is the sum
a is the first term = 1
r is the common ratio = 2 ( because it doubles every year
n is the number of terms = (19) since the first term is when
he was born which he still 0
s = S = 1[(2^19)-1] / (2 – 1)
s = $524,287
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Answer:
Volume of block Jennifer bought:
V = side^3 = 12 x 12 x 12 = 1728 (in3)
Volume of sphere Jennifer wanted to make:
V = (4/3) x pi x radius^3 = (4/3) x pi x (4/2)^3 = 33.5 (in3)
a, The number of spheres she can make:
N = 1728/33.5 = 51.58 = ~51
b, The area of remaining clay after she made a sphere:
A = 1728 - 33.5 = 1694.5 (in3)
Hope this helps!
:)
Y-y1=m(x-x1)
slope=m
point is (x1,y1)
slope=3
point is (-6,-1)
y-(-1)=3(x-(-6))
y+1=3(x+6)
In this case you can say in one hour Austin earns $7.50.