For the following​ situation, find the average monthly expense that you would use in budgeting for the given expense.​ Note: Annual means once a​ year, and semiannual means twice a year.
Your regular payments on your new car are ​$150 monthly for loan​ payments, ​$240 annually for​ registration, and ​$330 semiannually for car insurance. In​ addition, just to be​ safe, you decide to set aside ​$1200 every two years for unexpected repairs.
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Part 1
The average monthly expense is ​$
  
enter your response here.
​(Simplify your​ answer.)

To find the average monthly expense for the given car-related expenses, we need to convert all annual, semiannual, and biennial expenses to their equivalent monthly costs and then sum them up with the regular monthly payments.

1. **Monthly loan payments:**
   \[
   \text{Monthly loan payment} = \$150
   \]

2. **Annual registration:**
   \[
   \text{Annual registration cost} = \$240 \implies \text{Monthly registration cost} = \frac{\$240}{12} = \$20
   \]

3. **Semiannual car insurance:**
   \[
   \text{Semiannual insurance cost} = \$330 \implies \text{Annual insurance cost} = 2 \times \$330 = \$660 \implies \text{Monthly insurance cost} = \frac{\$660}{12} = \$55
   \]

4. **Biennial repair fund:**
   \[
   \text{Biennial repair cost} = \$1200 \implies \text{Annual repair cost} = \frac{\$1200}{2} = \$600 \implies \text{Monthly repair cost} = \frac{\$600}{12} = \$50
   \]

Now, summing all the monthly costs:

\[
\text{Total monthly expense} = \$150 \, (\text{loan}) + \$20 \, (\text{registration}) + \$55 \, (\text{insurance}) + \$50 \, (\text{repairs}) = \$275
\]

So, the average monthly expense is:
\[
\boxed{275}
\]

Would you like more details or have any questions?

Here are 5 related questions for further practice:
1. If the monthly loan payment increased to $200, what would the new average monthly expense be?
2. How would the average monthly expense change if the semiannual car insurance increased to $400?
3. What would be the average monthly expense if the annual registration fee decreased to $200?
4. How much would you need to set aside monthly if the biennial repair fund was increased to $1800?
5. If you decided to budget for only $1000 every two years for unexpected repairs, what would the new average monthly expense be?

**Tip:** When budgeting for irregular expenses, always convert them to their monthly equivalents to get a clear and manageable overview of your finances.

For the following situation, find the average monthly expense that you would use in budgeting for the given expense. Note: Annual means once a year, and semiannual means twice a year. Your regular payments on your new car are $150 monthly for loan payments, $240 annually for registration, and $330 semiannually for car insurance. In addition, just to be safe, you decide to set aside $1200 every two years for unexpected repairs. The average monthly expense is $

Learn how to calculate the average monthly expense for car-related costs, including monthly loan payments, annual registration, semiannual insurance, and a biennial repair fund. This budgeting problem is designed for middle school students (Grades 6-8), providing step-by-step solutions for converting irregular expenses into manageable monthly amounts.

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