Answer to Question #92522 in Math for Jethro

Question

QUESTION 4

4.1 Two aeroplanes leave two different airports, 1000km apart from each other, at 9h00 in the morning. They fly towards each other. The one flies at a speed of 250km/h and the other at 350km/h. At what time will they pass each other?

4.2 Find the amount of interest that a person will earn if he invests an amount of R9000 for 30 months, at an interest rate of 6% per annum, with the interest compounded semi-annually. (Leave your answer as an expression in exponential form as you may not use a calculator.)

QUESTION 5

The population of a country grows according to the formula N = N0ekt where N is the population (in millions) at time t (in years). N0 is the intial population (in millions) and
k is a constant.

5.1 If the initial population was 40 million and after 120 years it is 360 million, find an expression for k in terms of ln.

5.2 Use this expression for k and the other information given above, to find how long it takes for the population to double.

Answer 1

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