P(t)=500(1+4t/(50+t^2 ))
P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2
by the quotient rule
500 (-4t^2 + 200)/(t^2 + 50)^2
Hence
P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
Answer:
1.15 miles closer
Step-by-step explanation:
you just subtract 1 3/5 from 2 3/4
1 3/5 = 1 12/20
2 3/4 = 2 15/20
2 15/20- 1 12/20 = 1 3/20 = 1.15
4(1/2x7)=12 <=> x28/2=12
x=12*2/28=24/28=12/14=6/7
The oldster got a discount, so the original price is higher; let's call it x;
Answer: $14.00
Anita can clean 1/8 portion of the pool in 1 hour
Chao can clean 1/6 portion of the pool in 1 hour
Both of them working together can clean 1/8 + 1/6 = 7/24 portion of the pool in 1 hour
Therefore, it will take both of the working together 1/(7/24) = 24/7 or 3 3/7 hours to clean a typical pool.
