V=(4/3)pir^3
r=9
V=(4/3)pi9^3
V=12pi243
V=972pi
aprox pi=3.14
3052.08 mi^3
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Answer:
b = 6i then a = -6i
b = -6i then a = 6i
Step-by-step explanation:
a+b=0
ab=36
a = -b
a(b) = 36
-b * b = 36
- b^2 = 36
b^2 = -36
Take the square root of each side
sqrt(b^2) = sqrt(-36)
b =± 6i
a = - (± 6i)
so b = 6i then a = -6i
b = -6i then a = 6i
15X=12X+12
Subtract 12X
3X=12
X=4