2. (a.) A business man received a $4,535 invoice for computer supplies, dated May 17, with sales terms ! "#, $ "% , ' !# . A 3$ ! % late fee is charged for payment after 30 days. Find the amount due if the bill is paid

i. on the 29th May

ii. on or between the and 6th June iii. on or between September 10th and 13th June;

(b.) Marquita is creating an annuity due of $250 every month at 6% for 10 years. Find

(i) the future value of her annuity due.

(ii) The percentage of total interest received

( c ) The cost of producing a pair of shoes at the Kumasi Shoe Factory is modeled as 3 | Page C(x) = px2 + qx + r. If the roots of px2 + qx + r = 0 are 2 and -3, i. Express C in the form C(x) = a(x -h)2 + k ii. State the values of p, q, r, h and k iii. Hence find the minimum cost of production