danae is choosing between two jobs. one job p...
danae is choosing between two jobs. one job pays an annual bonus of $1,500 plus $120 per day worked. the second job pays an annual bonus of $2,500 plus $110 per day worked. which equation can be solved to determine after how many days, d, danae would make the same amount of money regardless of the job she chooses?\n120d + 110d = 1,500 + 2,500\n120 + 110 = 1,500d + 2,500d\n120d + 1,500 = 110d + 2,500\n120d + 2,500 = 110d + 1,500
Answer
# Explanation:
## Step1: Calculate earnings of first job
The first job has an annual - bonus of $1500 and pays $120 per day worked. So the total earnings $E_1$ for $d$ days is $E_1 = 120d+1500$.
## Step2: Calculate earnings of second job
The second job has an annual - bonus of $2500 and pays $110 per day worked. So the total earnings $E_2$ for $d$ days is $E_2 = 110d + 2500$.
## Step3: Set earnings equal
To find when Danae makes the same amount of money in both jobs, we set $E_1 = E_2$. So, $120d+1500=110d + 2500$.
# Answer:
$120d + 1500=110d+2500$