An insurance salesman walks up to 14 Apple street and knocks on the door. A woman answers and he asks her how many children she has and how old they are. She says I will give you a hint. If you multiply the 3 children’s ages you get 36. He says this is not enough information. So she gives him a second hint. If you add up the children’s ages the sun is the number on the house next door. He goes next door and looks at the house number and says that it’s still not enough information. So she says she’ll give him one last hint which is that her oldest of the 3 plays piano

If a =6, what is the value of 2a(3b + 5c)?

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Ascientist places 24 cells in a petri dish. she knows the cells grow at an exponential rate, doubling in number every hour. how long will it take (in hours) for there to be 1100 cells in the dish? time to 1100 cells: 5.51832530 hours how long will it take to reach 110 cells? time to 110 cells : 2.1963972 hours what is the average rate of change in the number of cells between 9 hours and 11 hours? average rate of change: cells per hour what is the instantaneous rate of change after 7 hours? instantaneous rate of change: cells per hour note: you can earn partial credit on this problem.