Question: In a group of students, 25 study Physics, 28 study Chemistry, 20 study Mathematics, 9 study Physics only, 12 study Chemistry only, 8 study Physics

In a group of students, 25 study Physics, 28 study Chemistry, 20 study Mathematics, 9 study Physics only, 12 study Chemistry only, 8 study Physics and Chemistry only and 5 students study Chemistry and Mathematics only.

Find how many students study all the subjects. [2 marks]

How many students are there altogether? [2 marks]

The value (V) of a building is depreciating exponentially according to a function, where V0 is the value of the building at time t = 0, k is a constant and e is the natural logarithm base. When the building was 5 years old, its value was Sh.2,361,832.763705 and when it was 9 years old, its value was Sh.1,296,201.303229. Determine the value of V0 and k and hence the depreciation function. [4 marks]

Your grandmother has been putting Sh.5,000 into a savings account on every birthday since your first (that is, when you turned one). The account pays an interest rate of 3.5%. How much money will be in the account on your eighteenth birthday immediately after your grandmother makes the deposit on that birthday? [3 marks]

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