The answer is $1242.24
good luck
<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
Answer:
z=4 and z=-1/3 are the zero's
Step-by-step explanation:
To find the zeros of the quadratic function, we need to set it equal to zero.
f(z)=3z^2−11z−4
0 =3z^2−11z−4
Now we need to factor the function
0 = (z - 4) (3 z + 1)
Then using the zero product property set each factor to zero
0 = z-4 0 = 3z+1
Now solve
0+4 = z-4+4 0 -1 = 3z+1-1
4 =z -1 = 3z
-1/3 = 3z/3
-1/3 =z
Answer:
a) 580 - 16n
b) 9850 - 271.72n
Step-by-step explanation:
a) starting number of bales = 580
each day, the farmer feeds out 2 bales of hay to each yard. he has 8 yards, so he feeds out 2 bales 8 times for a total of 2 * 8 = 16 bales. Therefore, he loses 16 bales each day
After the first day, he has 580-16 = 564 bales. After the second, he has 564-16 = 548 bales, and so on. He loses 16 bales n times for n days, and as a result, his final amount of bales is
original amount - amount lost = 580 - 16n
b)
First, we can calculate how much a bale weighs.
average = sum/count = 9850 kg / 580 ≈ 17 kg
Therefore, as he loses 16 bales of hay, he loses 17 kg 16 times, or approximately 271.72 kg of hay every day. For n days, he loses 271.72n kg. This brings his final amount to be
starting - amount lost = 9850 - 271.72n