Question

In: Advanced Math

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                                                           Question Two

Faulu College has a total of 52 students undertaking three courses namely; Business Mathematics, Economics and Law. During recently conducted examinations, 13 students excelled in Business Mathematics and Law, 16 students excelled in Business Mathematics and Economics and 12 students excelled in Law and Economics. The number of students that excelled in Economics was 24 while 2 students excelled in none of the three courses. The number of students who excelled in Business Mathematics only was twice the number of students who excelled in Law only. The number of students who excelled in Law only was six times the number of students who excelled in Economics only.

Required:

  1. Present the above information in the form of a venn diagram          
  2. The number of students who excelled in all the three courses          
  3. The number of students who excelled in two courses only               
  4. The number of students who excelled in one course only                 

Question three

Parents of a young girl want to deposit a sum of money which will earn interest at the rate of 9% per year compounded semiannually. The deposit will be used to generate a series of eight semiannual payment of Sh. 2500 beginning 6 months after the deposit. These payments will be used to help finance their daughter’s high school education.

Required:

  1. What amount must be deposited to achieve their goal?                  
  2. How much interest will be earned on this deposit?                         (3marks)

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