Consider a 20-year annual premium endowment insurance with sum insured $100000 issued to a select life aged 35. Assume initial expenses of 3% of the basic sum insured and 20% of the first premium, and renewal expenses of 3% of the second and subsequent premiums. Assume that the death benefit is payable at the end of the year of death. a) Write down an expression for the gross future loss random variable. b) Calculate the gross annual premium. c) Calculate the probability that the contract makes a profit

The number of members f(x) in a local swimming club increased by 30% every year over a period of x years. the function below shows the relationship between f(x) and x: f(x) = 10(1.3)xwhich of the following graphs best represents the function? graph of f of x equals 1.3 multiplied by 10 to the power of x graph of exponential function going up from left to right in quadrant 1 through the point 0, 0 and continuing towards infinity graph of f of x equals 10 multiplied by 1.3 to the power of x graph of f of x equals 1.3 to the power of x