Final answer:
To find out Sheila's weekly earnings, we subtracted her initial balance from her total savings after 12 weeks and divided that number by the total percentage saved over the 12 weeks. Sheila earns $211.99 each week.
Step-by-step explanation:
The student is asking about how to calculate Sheila's weekly earnings given her savings plan for her vacation. Sheila starts with a balance of $90.00 and after 12 weeks, her total savings are $472.59. Assuming she saves 15% of her earnings each week, we can calculate her weekly earnings.
Let's define Sheila's weekly earnings as E. To calculate Sheila's total amount saved from her earnings, we subtract the original balance from the total savings after 12 weeks:
Total saved from earnings = $472.59 - $90 = $382.59
This total saved from earnings represents 15% of her total earnings over 12 weeks. If we let 15% of her total earnings be represented by 0.15 * 12 * E, we get:
0.15 * 12 * E = $382.59
Now, we can solve for her weekly earnings E:
E = $382.59 / (0.15 * 12)
E = $211.99
Therefore, Sheila earns $211.99 each week.