"Regular" means that all the sides of the figure are equal, and it also turns out that all of the angles are equal. The sides of the triangle in B are not all equal.
Suppose the company invests x of their surplus in the 5% rate (and thus 40000-x has 6.5%). Then we have that 5%*x+(40000-x)6.5%=6.25%*40000.
We have that solving this, 5%* x+40000*6.5%-6.5%*x =6.25%* 40000 Accumulating terms, 1.5%*x=0.25%*40000 x=40000/6= 6666.67$. We see that if we invest 6666.67$ at 5%, we get exactly the given rate. If we invest more, we obviously get less. Hence, we have that the company has to invest at 6.5% more than 40000-6666.67=33333.33$
So hmm notice the picture below
so it reaches its maximum when y = 0
thus
X2+y2–x–2y–11/4=x2−x+14−14+y2−2y+4−4−11/4=(x−12)2+(y−2)2−14−4−114=(x−12)2+(y−2)2−7=0(x−12)2+(y−2)2=(7√)2
Center(1/2 ,2)
radius = \sqrt 7
Answer:
5 minutes
Step-by-step explanation:
We know that 1760 yards are in a mile. We can convert the given info into a proportion. 440/75 = 1760/x, where x is the number of seconds it takes to run a mile. Cross-multiply to get 440x = 75*1760. Divide both sides by 440 to get x = 75*4 = 300 seconds. The problem asks for how many minutes so you have to convert 300 seconds to minutes. To do this, we have to divide 300 by 60 to get 5 minutes.