Answer:
The answer is 7/45
Step-by-step explanation:
The way I would look at it is that Sophia types 15 words per minute faster than Patty so every minute Sophia is 15 minutes closer to what Patty has done. 510/15=34 so after 34 minutes Sophia will have caught up to Patty
5% compounded quarterly equals (1.0125)^4 -1=0.0509453369140625 or 5.09453369140625 % APR
250*(1.0125)^20=$320.51 at the end of 5 years
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First, pretend the semicircle isn't cut out of the triangle and find the area of that equilateral triangle using the equation:

where l=the length of one side of the triangle (2+2+4=8mm).
Then find the area of the semicircle using the equation for the area of a circle:

where r=the radius of the circle (4/2=2mm) and then dividing the area you get by 2 to get the area of the semicircle.
Finally subtract the area you got for semicircle from the area of the entire equilateral triangle.
211 is next prime number after 200 and the smallest and greater after 200 as well.