Answer:
Option C - 9 AU
Step-by-step explanation:
To find : What is the average distance from Planet B to the star?
Solution :
According to kepler's law,
The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.
i.e. 
We have given,
The average distance from the star to Planet A is
AU.
It takes 432 Earth days for Planet A to orbit the star i.e. 
It takes 1,460 days for Planet B to complete an orbit i.e. 
Substitute the values in 


Taking root cube both side,
![\sqrt[3]{0.0875}=\frac{4}{S_2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.0875%7D%3D%5Cfrac%7B4%7D%7BS_2%7D)



The average distance from Planet B to the star is 9 AU.
Therefore, Option C is correct.
Paybeginning $1,032 - $150 = $882.56* 1.00938 = $ 890.84
Pay end $1,032.56 * 1.00938 = $1042.25- $150 = $892.25
The difference is in interest in the first month 892.25−890.25=2
Note: 11.25 / 12 = 0.00938 interest per month
Answer:
The slope of the function is ²/₃ and since the second derivative is zero, the concavity doesn't exist.
Step-by-step explanation:
Given;
x = 6t
y = 4t - 3
point t = 4

The slope of the function is ²/₃
take the second derivative of the function;
the second derivative will be zero since the first derivative is a constant value.

Since the second derivative is zero, the concavity doesn't exist.
½ × 2 = 1
½ × 3 = 3/2
½ × 4 = 2
½ × 5 = 5/2