Answer:
6 hours
Step-by-step explanation:
75 x 6 = 450
Answer:
![\bold{a_n=(-4)21^{n-1}}](https://tex.z-dn.net/?f=%5Cbold%7Ba_n%3D%28-4%2921%5E%7Bn-1%7D%7D)
Step-by-step explanation:
![a_1=-4\,,\ a_2=-84\,,\ a_3=-1764\,,\ a_4=-37044\quad\implies\ \ r=21](https://tex.z-dn.net/?f=a_1%3D-4%5C%2C%2C%5C%20a_2%3D-84%5C%2C%2C%5C%20a_3%3D-1764%5C%2C%2C%5C%20a_4%3D-37044%5Cquad%5Cimplies%5C%20%5C%20r%3D21)
{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}
geometric sequence formula: ![a_n=a_1r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1r%5E%7Bn-1%7D)
![a_1=-4\quad and \ \ r=21](https://tex.z-dn.net/?f=a_1%3D-4%5Cquad%20and%20%5C%20%5C%20r%3D21)
![a_n=(-4)21^{n-1}](https://tex.z-dn.net/?f=a_n%3D%28-4%2921%5E%7Bn-1%7D)
Multiply the length*width*height to get the volume of the prism then, take out the difference between the volumes
Volume of the prism= 1018464
Then just subtract
The population of a town has approximately doubled every 17 years since 1950.
the equation P=
where Po is the population of the town in 1950, is used to model the population, P, of the town t years after 1950.
When t=17 yrs
P=2
for 1 year
The equation becomes
P =
-------------(1)
Our original equation is
----------------------------------(2)
equating expression 1 and 2
![P_02^\frac{t}{17}=P_{0}2^k](https://tex.z-dn.net/?f=P_02%5E%5Cfrac%7Bt%7D%7B17%7D%3DP_%7B0%7D2%5Ek)
Cancelling
from both sides we get
![2^\frac{t}{17}=2^{k}](https://tex.z-dn.net/?f=2%5E%5Cfrac%7Bt%7D%7B17%7D%3D2%5E%7Bk%7D)
t/17=k
⇒k=t/17 is the solution.