<p>first look for the answer choices that are divisible by both 2 and 6...i.e. 12, 18 and 24..among these numbers, 18 is the only one that's not divisible by 4..which means 18 makes the statement false.</p>
<p>you know that the diameter of the circle is 8 units since it says that BC and AD are tangent to the circle so the radius is 4 and the area is pi(r)^2 or 16pi</p>
<p>i don't know if there's a shorter way to do this, but here's what i did.</p>
<p>let t = number of days</p>
<p>for each day the net profit is [amount collected minus the cost] or (k - k/3), so the amount of days to reach $1000 is that quantity times the number of days. so our equation is</p>
<p>t(k - k/3) = 1000, and solve for t to find the number of days...</p>