<span>1) If a plane is flying at 40 mph while another plane is flying at 100 mph and they are 200 miles apart, how long will it take them to collide?
time=distance/speed
distance between the planes=200 miles
relative speed=(100+40)=140 mph
thus time taken for them to collide will be:
200/140
=1.43 hours
2]</span><span> Ivan and Kate live 40 miles apart. If Ivan started pedaling towards Kate at 8:00 a.m. at a steady 12 mph while Kate left to meet Ivan at 9:30 a.m. but rode at 16 mph, at what time will they meet?
Time=(distance)/(speed)
relative speed=(40+12)=52 mph
distance=40 miles
thus
time=40/52=0.769 h=0.8 hours=48 min
time they will meet will be:
9:30+48=10:18 a.m
</span><span>3) A truck with a heavy load drove from Boston to New York at 40 mph. After unloading, it returned from New York to Boston at a speed of 60 mph. What was its average speed for the whole trip?
</span>
average speed is given by:
(40+60)/2
=100/2
=50 mph
-4 -2(-4)+8 16 (-4,16)
-2 -2(-2)+8 12 (-2,12)
0 -2(0)+8 8 (0,8)
2 -2(2)+8 4 (2,4)
4 -2(4)+8 0 (4,0)
m=-2
b=8
122 degrees because supplementary angles are 180 degrees
Answer:
C. (-5, 3)
Step-by-step explanation:
Point C is currently (5,3).
If it is reflected over the y-axis, that means while the <em>y-coordinate stays the same, the x- coordinate is negative of what is was before</em>.
C is the only answer that keeps the y-coordinate constant, so just by looking at that, we can say that the answer is C.
The present value of a perpetual bond is = annual coupon payment/discount rate
The discount rate = yield = 20% =0.2
Annual coupon payment =$100
Present value of the bond = 100/0.2 = 500
So the present value of the bond is the value that you would end up paying for the bond.
Hence you would pay $500.00 for a bond that pays an annual perpetual coupon of $100 with a yield of 20%