Xavier’s salary increases by 2% each year.


In 2010, his salary was $40100.



(i) Calculate his salary in 2015.


Give your answer correct to the nearest dollar.



(ii) In which year is Xavier’s salary first greater than $47500?

Respuesta :

Xavier’s salary in 2015= $44, 200

The year which Xavier’s salary first became greater than $47500= year 2019

Calculation of annual salary

His first salary in year 2010= $40100

The amount increase per year= 2/100×40100

= 2× 410=$820

The number of years with increased salary =

2015-2010= 5years.

The amount increase over 5 years= 5× $82 0

= $4100

Therefore his salary in 2015= $40100 + $4100

= $44200

To calculate the year Xavier’s salary would first be greater than $47500

$47500- $40100 = $7,400

Which means, if $4100 = 5 years from 2010

$7,400 = x years from 2010

Cross multiply,

X years= $7,400 × 5/$4100

= $37000/ $4100

= 9 years from 2010

Therefore, at 2019 Xavier’s salary would be greater than $47500

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