Higher January 2020 Paper 2 Q25
25 Mario is going to save $50 in the year 2021
He is going to continue to save, up to and including the year 2070, by increasing the amount he saves each year by $\(k\)
Mario will save a total of $33 125 from 2021 to 2070
Work out the value of \(k\).
(3)
| Scheme | Marks |
|---|---|
| \(n = 50\) | B1 |
\(33125 = \dfrac{50}{2}\left[2 \times 50 + (50 - 1) \times k\right]\) oe \(33125 = 25\left[100 + 49k\right]\) oe \(1325 = 100 + 49k\) oe \(1225 = 49k\) oe | M1 |
| 25 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: For correct equation, using formula with \(a = 50\) and \(n = 50\) substituted
(for this mark, allow \(n = 49\))
(\(k\) may be written as \(d\))