Answer:
143π in³
Step-by-step explanation:
A basketball has the shape of a sphere
Volume of a basketball = 4/3πr³
Diameter = 9.5 in
Radius = diameter/2
= 9.5/2
= 4.75 in
Volume of a basketball = 4/3πr³
= 4/3 * π * 4.75³
= 4/3 * π * 107.17
= (4*π*107.17) / 3
= 428.68π / 3
= 142.89π in³
Approximately
143π in³ to the nearest whole number
Answer:
![f(t)=20000(0.85)^t](https://tex.z-dn.net/?f=f%28t%29%3D20000%280.85%29%5Et)
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
![f(t)=P(r)^t](https://tex.z-dn.net/?f=f%28t%29%3DP%28r%29%5Et)
Where <em>P </em>is the initial value, <em>r</em> is the rate of decay, and <em>t</em> is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
![f(t)=20000(0.85)^t](https://tex.z-dn.net/?f=f%28t%29%3D20000%280.85%29%5Et)