A 40-gallon barrel is filled completely with pure water. Salt water with a concentration of 0.3 lb/gal is then pumped into the barrel, and the resulting mixture overflows at the same rate. The amount of salt in the barrel at time t is given by Q(t) = 12(1 − e−0.07t)

where t is measured in minutes and Q(t) is measured in pounds.

(a) How much salt is in the barrel after 5 min? (Round your answer to two decimal places.)

(b) How much salt is in the barrel after 10 min? (Round your answer to two decimal places.)

(c) Draw a graph of the function Q(t).

(d) Use the graph in part (c) to determine the value that the amount of salt in the barrel approaches as t becomes large.

2)An investment of $3000 is deposited into an account in which interest is compounded continuously. Complete the table by filling in the amounts to which the investment grows at the indicated times. (Round your answers to the nearest cent.)

r = 6%

Time
(years) Amount
1 $
2 $
3 $
4 $
5 $
6 $