Answer: a=$309,996
b=$349,470.72
Explanation: interest on her first year monthly salary is 9%, which is calculated as 9/100×3000=$270.
Adding it to the salary we get $3270. But this amount was lost for a year equivalent to 12 months, so we multiply by 12 to get her award amount on $3000 salary for the first year, this will give, $3270×12=$39240.
This method is repeated for the most recent year as well.
9% of $3200=$288, adding to salary we have $288+$3200=$3488.
Multiply by 12,we have $3488×12=$41,856.
For $3500 that she will loss for next 5years, we take 9/100×3500=$315.
Adding to salary we get $315+$3500=$3815, multiply by 12 and by 5, we will have $3815×12×5=$228,900.
Amount of award will be these three salary amount=$228,900+$41,856+$39,240=$309,996.
Therefore a=$309,996.
Calculating b
Interest on salary is 5.72%weekly
Per month interest will be 5.72%×4=22.88%
22.88/100×3000=686.4, adding to salary we get $3000+$686.4=$3686.4, multiplying by 12 we get $3686.4×12=$44,236.8
Repeating same procedure on her most recent salary, we have that
22.88/100×3200=$732.16, adding to salary, we get $39,32.16, multiplying by 12, we get $39,32.16×12=$47,185.92
And finally 22.88/100×3500=800.8, adding to salary we get $4,300.8, multiplying by 12, we get $258, 048. Adding these three amounts on salary and loss we get, $258,048+$47,185.92+$44,236.8= $349,470.72.
Hence b=$349,470.72