A company is upgrading office technology by purchasing inkjet printers, LCD monitors, and additional memory chips. The total number of pieces of hardware purchased is 49. The cost of each inkjet printer is $105, the cost of each LCD monitor is $135, and the cost of each memory chip is $87. The total amount of money spent on new hardware came to $5067. They purchased two times as many memory chips as they did LCD monitors. Determine the number of each that was purchased.

What is the measure of ac? 5 units 13 units 26 units 39 units 3x- 2b 6x + 9

Solve each quadratic equation by factoring and using the zero product property. x^2 - 8x + 30 = 3x

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.