Atrain fare costs £23.55 all train fares are increased by 2.8% work out the new fare. [2 marks] 4 a savings account pays 3.6% per annum simple interest. heidi puts £400 into the account. how much will she have in the account after 5 years? [2 marks] answer 5 in one week the mass of a puppy increases from 1.8 kg to 2.25 kg work out the percentage increase of the mass. [2 marks]

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.

Determine the height of each triangle. round to the nearest foot. a. 7 ft c. 8 ft b. 5 ft d. 4ft

El piloto de un avión observa la pista de aterrizaje del aeropuerto de chiclayo con un ángulo de depresión de 30°; avanza 600 metros y el nuevo ángulo con qie se observa la pisga de aterrizaje es de 60°. ? a qué altura se encuentra volando el avión?