Emma is deciding which catering company to use for a party.
CL Special Events charges a base fee of $20 and $9 per guest.
Pow Party Plus charges a base fee of $100 and $5 per guest.
Plot a point on the graph that shows the number of guests for which both catering companies would cost the same.

Agiven line has the equation 2x + 12y = −1. what is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

If f(x) =3x-2 and g(x) =2x+1 fins (f+ g) (x)

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years