Neil has been running a tutoring business since 2005. he charges a monthly fee for weekly tutoring sessions and a phone line. each year, he has increased his fee by the same amount. the table shows what neil charged each customer for two given years of his business: year annual tutoring fee 2005 $1200 2008 $1350 a. what is the rate of change and initial value for neil’s business? how do you know? b. write an equation in slope-intercept form to represent the fees that neil charges each year.

Use the quadratic formula to solve 5x=6x^2-3,what are the values of x?

The sum of two numbers is 58. the first number is 8 less than half the second number. let  c  represent the first number. let  drepresent the second number. which statements about solving for the two numbers are true? check all that apply.the equation    represents the sum of the two numbers.the equation    represents the sentence “the first number is 8 less than half the second number.”the equation    represents the relationship between the two numbers.the equation    represents the sum of the two numbers.the number  d  is 14.the number  c  is 44.the number  c  is 14.the number  d  is 44.

Aparticular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?