Given:
Consider the equation is

To find:
The value of x.
Solution:
We have,

Using properties of exponents, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%2Ca%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
On comparing both sides, we get

Add 16 on both sides.


Multiply both sides by -1.

Therefore, the value of x is 8.
Answer:
see explanation
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition that x = 9 when y = 15
15 =
( multiply both sides by 9 )
k = 135
y =
← equation of variation
(5, 90)
You can solve both equations for y and then set equal to each other. Then use the quadratic equation to solve for x
The interest is 11.62% compounded monthly. Converting this to an effective rate:
i = (1 + 0.1162/12)^12 - 1
i = 0.1226
We use this formula to solve the problem:
455.96 = (23860(1.0811) + 1695 + 228 - C) [0.0811(1+0.0811)^3]/[(1+0.0811)^3 - 1]
Solving for C
C = 4413.13
The cost of her car was $4,413.13.