Answer:
lines that don't intersect
Let last year's salary be y;
As a percentage, last year's salary was 100%
After a 5 percent raise, the new salary is 105%;
The 105% is equivalent to 34,125;
The older salary was;
=
![\frac{34125*100}{105}](https://tex.z-dn.net/?f=%20%5Cfrac%7B34125%2A100%7D%7B105%7D%20)
= 32,500 dollars
The horse traveled 439.6 feet after walking around the track 5 times
<u><em>Solution:</em></u>
Given that, horse walks around a circular track while its trainer stands in the center
The trainer is 14 feet from the horse at all times
Therefore, radius of circular track = 14 feet
The circumference of circle is the distance traveled by horse for 1 lap
<em><u>The circumference of circle is given as:</u></em>
![C = 2 \pi r](https://tex.z-dn.net/?f=C%20%3D%202%20%5Cpi%20r)
Where, "r" is the radius and
is a constant equal to 3.14
![C = 2 \times 3.14 \times 14\\\\C = 87.92](https://tex.z-dn.net/?f=C%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%2014%5C%5C%5C%5CC%20%3D%2087.92)
Thus the distance traveled by horse for one time in circular track is 87.92 feet
<em><u>About how far had the horse traveled after walking around the track 5 times? </u></em>
Multiply the circumference by 5
![distance = 5 \times 87.92\\\\distance = 439.6](https://tex.z-dn.net/?f=distance%20%3D%205%20%5Ctimes%2087.92%5C%5C%5C%5Cdistance%20%3D%20439.6)
Thus the horse traveled 439.6 feet after walking around the track 5 times
The beam of light hit the dolphin at the common point that is the solution of a system:
.
From the second equation express y: y=10-x and substitute it into the first equation:
.
Therefore, the horizontal distance in feet is x=5 ft and the height above water is y=10-5=5 ft.
Answer: the beam of light hit the dolphin at 5 ft above water