Questions: In the state where you live, the weekly unemployment compensation is 63% of the 26-week average for the two highest-salaried quarters. A quarter is three consecutive months. For January, February, and March, you earned a total of 33,000. In July, August, and September, you earned a total of 37,000. Determine your weekly unemployment compensation.

In the state where you live, the weekly unemployment compensation is 63% of the 26-week average for the two highest-salaried quarters. A quarter is three consecutive months. For January, February, and March, you earned a total of 33,000. In July, August, and September, you earned a total of 37,000. Determine your weekly unemployment compensation.

Transcript text: POSSIBLE POINTS: 0.5 In the state where you live, the weekly unemployment compensation is $63 \%$ of the 26-week average for the two highest-salaried quarters. A quarter is three consecutive months. For January, February, and March, you earned a total of $\$ 33,000$. In July, August, and September, you earned a total of $\$ 37,000$. Determine your weekly unemployment compensation. $\square$

Solution

Solution Steps

To determine the weekly unemployment compensation, first calculate the average earnings for the two highest-salaried quarters. Then, find 63% of this average to get the weekly compensation.

Step 1: Calculate the Average Earnings for the Two Highest-Salaried Quarters

To find the average earnings for the two highest-salaried quarters, sum the earnings of the two quarters and divide by 2. The earnings for the first quarter (January, February, March) are $\$33,000$ and for the second quarter (July, August, September) are $\$37,000$.

\[ \text{Average Earnings} = \frac{33000 + 37000}{2} = 35000 \]

Step 2: Calculate the Weekly Unemployment Compensation

The weekly unemployment compensation is $63\%$ of the average earnings divided by 26 weeks.

\[ \text{Weekly Compensation} = 0.63 \times \frac{35000}{26} \approx 848.1 \]