To determine how long it will take Joelle to build her emergency fund, we first need to calculate how much she needs and how much she plans to save each month.
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Calculate the total amount needed for the emergency fund:
- Joelle wants to cover 6 months of expenses.
- Monthly expenses = $2,000
- Emergency fund needed = 6 months × $2,000/month = $12,000
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Calculate how much she saves each month:
- Joelle plans to save 10% of her gross pay each month.
- Monthly gross pay = $4,000
- Monthly savings = 10% of $4,000 = 0.10 × $4,000 = $400
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Calculate how long it will take to save for the emergency fund:
- Total emergency fund needed = $12,000
- Monthly savings = $400
- Number of months to save = Total emergency fund / Monthly savings = $12,000 / $400 = 30 months
Therefore, it will take Joelle 30 months to build her emergency fund.