A team of cyclists plans to ride from Singapore to Penang and back over 10 days. The distance for the route taken from Singapore to Penang and back is 1600 km.
Alex suggests that the team cycle 120 km for the first day and increase the distance covered by 8 km each subsequent day. Show that the team will not be able to complete the route in 10 days.[2]
Belle suggests changing the distance covered on the first day so that the team will reach Singapore on the tenth day. Given that the increment of distance covered for each subsequent day remains at 8 km, and the distance covered on the last day is 196 km, find the distance covered on the first day.[2]
On 2 January 2025, Candy saved \(8000 in a bank account which gives a compound interest of 1% per annum at the end of each year. Withdrawals of \)1200 are made at the beginning of each subsequent year.
Find the amount in Candy’s bank account at the beginning of the third year.[2]
Show that the amount in Candy’s bank account at the beginning of the \((n+1)\)th year is \(\$\left[120000-112000(1.01)^n\right]\).[3]
In which year would Candy’s bank account first have less than $1200?[3]
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