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                                                         Question Two

Faulu College has a total of 52students undertaking three courses namely; Business Mathematics,Economics and Law. During recently conducted examinations, 13students excelled in Business Mathematics and Law, 16 studentsexcelled in Business Mathematics and Economics and 12 studentsexcelled in Law and Economics. The number of students that excelledin Economics was 24 while 2 students excelled in none of the threecourses. The number of students who excelled in BusinessMathematics only was twice the number of students who excelled inLaw only. The number of students who excelled in Law only was sixtimes 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 threecourses          
3. The number of students who excelled in two coursesonly               
4. The number of students who excelled in one courseonly                 

Question three

Parents of a young girl want todeposit a sum of money which will earn interest at the rate of 9%per year compounded semiannually. The deposit will be used togenerate a series of eight semiannual payment of Sh. 2500 beginning6 months after the deposit. These payments will be used to helpfinance their daughter’s high school education.

Required:

1. What amount must be deposited to achieve theirgoal?                  
2. How much interest will be earned on thisdeposit?                        (3marks)