Question
Kendra has $14,000 in college savings her first year tuition is $12000 and for her second year it will increase to $13200 and Kendra plans to save 400 each month
How long will Kendra need to save until she has enough to pay for the first two years
How long will Kendra need to save until she has enough to pay for the first two years
Answers
GPT-4o mini
To determine how long Kendra needs to save in order to have enough to pay for her first two years of college, we can break down the expenses and her savings plan.
### Step 1: Calculate Total Tuition Expenses
1. **First Year Tuition:** $12,000
2. **Second Year Tuition:** $13,200
3. **Total Tuition for Two Years:**
\[
12,000 + 13,200 = 25,200
\]
### Step 2: Calculate How Much Kendra Needs to Save
Kendra currently has $14,000 in savings. We need to find out how much more she needs to save.
\[
\text{Total Amount Needed} = 25,200
\]
\[
\text{Current Savings} = 14,000
\]
\[
\text{Amount Needed} = 25,200 - 14,000 = 11,200
\]
### Step 3: Calculate How Long It will Take to Save the Required Amount
Kendra plans to save $400 each month. We need to find out how many months it will take her to save $11,200.
\[
\text{Months Required} = \frac{\text{Amount Needed}}{\text{Monthly Savings}} = \frac{11,200}{400} = 28
\]
### Conclusion
Kendra will need to save for **28 months** to have enough to pay for both years of tuition.
### Step 1: Calculate Total Tuition Expenses
1. **First Year Tuition:** $12,000
2. **Second Year Tuition:** $13,200
3. **Total Tuition for Two Years:**
\[
12,000 + 13,200 = 25,200
\]
### Step 2: Calculate How Much Kendra Needs to Save
Kendra currently has $14,000 in savings. We need to find out how much more she needs to save.
\[
\text{Total Amount Needed} = 25,200
\]
\[
\text{Current Savings} = 14,000
\]
\[
\text{Amount Needed} = 25,200 - 14,000 = 11,200
\]
### Step 3: Calculate How Long It will Take to Save the Required Amount
Kendra plans to save $400 each month. We need to find out how many months it will take her to save $11,200.
\[
\text{Months Required} = \frac{\text{Amount Needed}}{\text{Monthly Savings}} = \frac{11,200}{400} = 28
\]
### Conclusion
Kendra will need to save for **28 months** to have enough to pay for both years of tuition.
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