[Maximum mark: 7] Smith and Taylor work for the same company which pays them at the end of every month. They sign the following contracts for 24 months starting in January 2020 and finishing in December 2021: Smith: Paid $1100 in January 2020, increasing by $60 every month. Taylor: Paid $420 in January 2020, increasing by 14% every month. (a) Find Taylor's monthly salary in March 2021, rounded to the nearest dollar. [2] (b) Find the total amount Smith receives in the first year of his contract, rounded to the nearest dollar. [2] (c) Find the month and year in which total amount Taylor has received in his contract first exceeds the total amount Smith has received in his contract. [3] [Maximum mark: 6] A 3D printer builds a set of 49 Eiffel Tower Replicas in different sizes. The height of the largest tower in this set is 64 cm. The heights of successive smaller towers are 95% of the preceding larger tower, as shown in the diagram below. 0.95h AAA (a) Find the height of the smallest tower in this set. [3] (b) Find the total height if all 49 towers were placed one on top of another. [3]