(1) DERIVATIVE OF A FUNCTION
Find the first derivative of y with respect to x of the following function, when x = 2: y = ln x^2 / sin 2x
(2) PROPABILITY: POSITIVE = TRUE POSITIVE + FALSE POSITIVE
A disease is known to affect 1 in 10,000 people. It can be fatal, but it is treatable if it is detected early. A screening test for the disease shows a positive result for 99% of the people with the disease. The test also shows positive for 2% of people who do not have the disease. Find the probability that somebody is healthy given that they have positive test result?
Situation. Five hundred pesos is deposited monthly to an account earning 7% compounded monthly.
(i) What is the amount of the deposit after five years?
(ii) If the monthly deposit after two years is increased to P1,000, what is the amount of the deposit after five years?
(iii) Repeat Part 2 of this question if the interest rate is 18% compounded monthly.
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