A store finds that its sales revenue changes at a rate given by S'(t) = −30t2 + 420t dollars per day where t is the number of days after an advertising campaign ends and 0 ≤ t ≤ 30. (a) Find the total sales for the first week after the campaign ends (t = 0 to t = 7). $ (b) Find the total sales for the second week after the campaign ends (t = 7 to t = 14). $ g

Step-by-step explanation:

Give the rate of change of sales revenue of a store modeled by the equation . The Total sales revenue function S(t) can be gotten by integrating the function given as shown;

a) The total sales for the first week after the campaign ends (t = 0 to t = 7) is expressed as shown;

Total sales = S(7) - S(0)

= 6,860 - 0

Total sales for the first week = $6,860

b) The total sales for the secondweek after the campaign ends (t = 7 to t = 14) is expressed as shown;

Total sales for the second week = S(14)-S(7)

Given S(7) = 6,860

To get S(14);

The total sales for the second week after campaign ends = 13,720 - 6,860

= $6,860

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step-by-step explanation:

b

step-by-step explanation: