In the first week of its release, the latest blockbuster movie sold $16.3 million dollars in tickets. the movie's producers use the formula pt = poe-0.4t to predict the number of ticket sales t weeks after a movie's release. po is the first week's ticket sales. what are the predicted ticket sales to the nearest $0.1 million for the sixth week of this movie's release? (note: t = 0 for the first week.)

$2.2 million tickets will be sold in 6th week.

Step-by-step explanation:

The given formula

p(t) = Tickets sold after time t

p(0) = Tickets sold in first week

t = duration or time

For t = 0 [for 1st week]

p(0) = $16.3 million

For t = 6 weeks

Since for 1st week, t = (1 - 1) = 0

Therefore, for 6th week t = ( 6 - 1) = 5

By placing the values in the formula,

p(5) =

      =

      = 16.3×0.1353

      = $2.2 millions

Therefore, $2.2 millions of tickets will be sold in the sixth week.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x