Abdul and his wife are each starting a saving plan. abdul will initially set aside $50 and then add $50.85 every week to the savings. the amount a (in dollars) saved this way is given by the function a= 50.85n+50 where n is the number of weeks he has been saving . his wife will not set an initial amount side but will add $75.65 to the savings every week the amount b (in dollars) saved using this plan is given by the function b=75.65n. let t be the total amount (in dollars) saved using both plants combined right in equation relating t to n. simplify your answer as much as possible.

Question 5 spring semester final exam math evaluate

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.