Cadence has worked for her new company five months longer than she worked for her old company. If she worked at her old company for 3 years earning $5000 per month, and she's now earning 20% more in the new company, calculate the total amount of money she's earned in both companies in the period she's worked for them? Let's be accurate as possible.
In her old company, if she worked for three years, the total number of months she was paid for is 3 years * 12, which is the number of months in a year = 36 months. If each month she was paid $5000, her total earnings in the old company were $5000 * 36 = $180000. In her new company, she is paid 20% more, which is 20 / 100 * $5000 = $1000 per month more than what she was paid at the old company. In total, she earns $5000 + $1000 = $6000 per month in her new company. Since she's worked five months more in the new company than the old company, she has worked for 36 + 5 = 41 months in the new company. The total amount she's earned in the new company is $6000 * 41 = $246000. The combined total for both companies is $246000 + $180000 = $426000.
The answer: 426000.