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.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560