In 2016, among the top 100 grossing movies in a particular country, 15 were rated PG-13 and earned over $100 million. The number of movies that were rated PG-13 that earned less than $100 million was 31. The number of movies that were not rated PG-13 that earned less than $100 million was 37. What was the number of movies that earned over $100 million and that were not rated PG-13?

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465

explanation:

remove parenthesis:

=

apply rule

=

multiply fractions:

=

=

divide:

=

mordancy.