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2. Daya faedah (t) ialah fungsi berdasarkan t, iaitu masa dalam unit tahun, (t)=0.04+0.005t,0.180.01t,0.06,untuk0t8 dan ia adalah seperti berikut: The force of interest (t) is a function of time, measured in years, and it is as follows: (t)=0.04+0.005t,0.180.01t,0.06,for0t8 (a) Antara t=10 dan t=15, pendapatan diterima pada kadar bayaran 30e0.02t setahun. Apakah nilai semasa aliran pendapatan ini pada t=6 ? Between t=10 and t=15, an income is received at the payment rate of 30e0.02 per annum. What is the present value of this payment stream at t=6? (5markah/marks)17.4924 (b) Kirakan nilai pada masa t=20 untuk anuiti dengan kadar bayaran 5 setahun, yang dibayar secara berterusan dari masa t=8 hingga t=12. Calculate the value at time t=20 of an annuity of rate 5 per annum payable continuously from time t=8 to t=12. (3 markah/marks) 2. Daya faedah (t) ialah fungsi berdasarkan t, iaitu masa dalam unit tahun, (t)=0.04+0.005t,0.180.01t,0.06,untuk0t8 dan ia adalah seperti berikut: The force of interest (t) is a function of time, measured in years, and it is as follows: (t)=0.04+0.005t,0.180.01t,0.06,for0t8 (a) Antara t=10 dan t=15, pendapatan diterima pada kadar bayaran 30e0.02t setahun. Apakah nilai semasa aliran pendapatan ini pada t=6 ? Between t=10 and t=15, an income is received at the payment rate of 30e0.02 per annum. What is the present value of this payment stream at t=6? (5markah/marks)17.4924 (b) Kirakan nilai pada masa t=20 untuk anuiti dengan kadar bayaran 5 setahun, yang dibayar secara berterusan dari masa t=8 hingga t=12. Calculate the value at time t=20 of an annuity of rate 5 per annum payable continuously from time t=8 to t=12. (3 markah/marks)

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