This is decay because the base of the exponential is < 1 ( 0.8).
Limit of the function as x approaches infinity is 0
Answer:
14hrs
Step-by-step explanation:
v = speed in still water
t = downstream trip time
d = distance = 182 miles; same distance both downstream and upstream
t + 12 = upstream return trip time
u = current flow = 3 mph
Downstream: d = (v + u)t; Upstream: d = (v - u)(t + 12)
(v - 3)(t + 12) = 182 (equation 1)
(v + 3)t = 182 (equation 2)
Subtract equation 2 from equation 1 to get t:
(vt + 12v -3t -36) - (vt + 3t) = 0
12v - 6t - 36 = 0
t = 2v - 6
Substitute this result for t into equation 2 and solve for v:
(v + 3)(2v - 6) = 182
2v^2 - 6v + 6v - 18 = 182
v^2 = 100
v = 10 mph
t = 2v - 6 = [2(10) - 6] hrs = 14 hrs
Mode = 2
hope it helps
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If 32.16 includes the sales tax....then the price before the sales tax will be less then 32.16
that only leaves 2 choices.....
so lets check them...
7% sales tax on 2.25 = 0.07(2.25) = 0.16....so if u spent 2.25 on groceries and added the sales tax of 16 cents....then u would have spent 2.41...thats a long way from 32.16
if u spent 30.06...with 7% sales tax....u would spend 30.06 + 0.07(30.06) = 32.16
so the cost of the groceries before the sales tax is 30.06 <==
