The company Dawn uses for telephone service charges her $30 each month plus 4 cents per minute after 200 minutes of talk time. There is no charge for
the first 200 minutes of talk time.
Write a linear equation for the monthly total charge, T, in terms of the
usage time after 200 minutes, t.
Dawn phone charge 830 each mont + 4 conto = 2004
T= $30+ 0.40
b) Find the total usage time if Dawn paid $35 for her telephone bill in
February

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

Solve for x and select the correct answer

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.