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James and Olivia are attempting to run a total of 1500 meters each by completing laps of a 30-meter track. James runs his first lap in 20 seconds and takes 0.25 seconds longer each lap after that. Olivia runs her first lap in 18 seconds and takes 1.02 times longer each lap after that.
(i) Find the time James takes to run his final lap.
(ii) Find the time Olivia takes to run her final lap.
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A colony of ants is increasing its population by 2.3% each minute. Starting with an initial number of ants, how many minutes will it take for the colony to double in size? Provide your answer rounded to the nearest minute.
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Jack's annual salary goes up by 3% every year. He has been with his company for 8 years now and currently earns $58,320 a year.
a. Calculate Jack's starting salary when he first joined the company?
b. If Jack continues with the company for another 5 years, calculate his salary at the end of that period?
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The number of subscribers to a YouTube channel grows by 8% each year. Currently, the channel has 1000 subscribers. Determine the number of subscribers the channel will have in 5 years.
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