An ice cream store's summer revenue is approximated by f open parentheses t close parentheses equals 300 plus 4.5 t minus 0.05 space t squared dollars perday for 0 less or equal than t less or equal than 92 , where t is measured in days after June 1. Suppose this ice cream store deposits its receipts in an account paying 5% interest per year compounded continuously. How much money will it have in the account at the end of August? (Hint: 1. the end of August is 92 days after June 1. 2. In the formula F V equals integral subscript a superscript b f open parentheses t close parentheses e to the power of r open parentheses b minus t close parentheses end exponent d t , the unit of time t can be day or years, but generally the r is the yearly rate, the value of left parenthesis b minus t right parenthesis should be in the unit of year. So when t is in the unit of day, the formula of future value is F V equals integral subscript a superscript b f open parentheses t close parentheses e to the power of r asterisk times fraction numerator b minus t over denominator 365 end fraction end exponent d t .

The future value of all of this money at the end of the 92nd day, at the end of August was obtained to be $3,260,336.48

Step-by-step explanation:

The complete question is attached to this solution

From the question,

The revenue per day is given as

f(t) = 300 + 4.5t - 0.05t² for 0≤t≤92

The future value is also given in the question. Note that this figure value is compounded over day 0 to 92.

So, a = 0, b = 92, r = 1.05

This integral is evaluated and presented in the attached images to this question.

The integral is evaluated on the second, third and fourth attached images to this solution.

Hope this Helps!!!

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d