Suppose that in the year 1625, $32 was invested at a 5% compound interest rate, compounded semiannually. In what year did the balance reach $1000? Use formula A=P(1+r/n)^nt, a calculator, and trial and error to find the smallest value of t for which A is at least $1000.

(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.