The shortest distance from P to the circle is along the line between P and the center of the circle. That line is the hypotenuse of the right triangle whose legs are PQ and QC (where C is the circle center).
The Pythagorean theorem tells you
... PC² = PQ² +QC²
... PC² = 13² +9² = 250
... PC = √250 = 5√10 ≈ 15.8114 . . . . inches
The distance from P to the circle is 9 in less than this, so is
For the composite function g(f(x)), the function f(x) goes first in terms of evaluation. This is the inner most function. You would read it from right to left in terms of determining the order of evaluation.
First you need to find out the total amount of money Lucy received. Add 20+15+32 and you will get $67. Subtract the money Lucy spent from the total amount of money. 67-10.85=56.15. She has $56.15 remaining.