The rate at which cars enter a parking lot is modeled by E(t)=30+5(t-2)(t-5)e^-0.2t. The rate at which cars leave the parking lot is modeled by the differentiable function L. Selected values of L(t) are given in the table below. Both E(t) and L(t) are measured in cars per hour, and time t is measured in hours after 5 AM. (t=0) Both functions are defined for 0≤t≤12. a) How many cars enter the parking lot from time t=0 to time t=12?
b) Use a trapezoidal sum with the four subintervals indicated by the data in the table to approximate ( ∫upper 12 lower 2 ) L(t)=dt. Using correct units, explain the meaning of ( ∫upper 12 lower 2 ) L(t)=dt in the context of this problem.
d) For 0≤t≤6, 5 dollars are collected from each car entering the parking lot. For 6≤t≤12, 8 dollars are collected from each car entering. How many dollars from time t=0 to t=12?

sorry i need the points

step-by-step explanation:

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if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

the answer is 150.6

step-by-step explanation:

you multiply .02 by 30 and get .6.

and then you multiply 5.00 by 30 and get 150.

hope this !

your answer is 125y5