Rachelle works as a bus driver for the Gautrein buses and initially earns R\displaystyle {R} 120000\displaystyle {120000} in her first year. Thereafter her salary increases with R\displaystyle {R} 14000\displaystyle {14000} per year. In her first year her expenses totals R\displaystyle {R} 90000\displaystyle {90000} and increases yearly with R\displaystyle {R} 8000\displaystyle {8000}.

Question 1

Express Rachelle's total savings over time as a series of 3 terms.

  +\displaystyle +\ldots

Question 2

How long will it take her to save up R\displaystyle {R} 1458000\displaystyle {1458000}, if the money was never deposited into a bank to earn interest.

Formula

   (ignore subscripts in this step but not in written work)

Stocktake

Type in the list of known variables, example x=1,y=2...:

 

Substitute

   (use subscripts if necessary in this step)

Solve

n=\displaystyle {n}=     (use subscripts if necessary in this step)

It will take her years to save up R\displaystyle {R} 1458000\displaystyle {1458000} .