<span>100-6x=160-10x
100 - 160 = -10x +6x
-4x = -60
x = -60 / -4
x = 15</span>
Solution:
iv) Given equation: 
Since we are given two variables, we need to split the original expression into two quadratic expressions as

Factoring x first:

= 
= 

Factoring y now:

= 
= ![-1[ y(y+1) + 1(y+1)]](https://tex.z-dn.net/?f=-1%5B%20y%28y%2B1%29%20%2B%201%28y%2B1%29%5D)
= ![-1 [(y+1)(y+1)]](https://tex.z-dn.net/?f=-1%20%5B%28y%2B1%29%28y%2B1%29%5D)
= 
Therefore, the original expression becomes

Present value, P = 10000
interest rate, i = 5.4% continuous
Number of periods, n = 8 years
Future value



to the nearest cent
Answer:
Approximately 2 days.
Step-by-step explanation:
The frog can only jump 3 lily pads each day.
24 hours = 1 day
= 8 hours
Thus, it would take the frog 8 hours to cover a lily pad.
To get to the edge of the pond, the frog would jump through 6.5 lily pads (since he is at the middle of a lily pad at the center of the pond).
So that;
Total time required to get to the edge of the pond can be determined by;
6.5 × 8 hours = 52 hours
Number of days to get to the edge of the pond = 
= 2.2
It would take him approximately 2 days to get to the edge of the pond.