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Let's break down the problem step by step.

### Given:
- Monthly deposit: $300
- Interest rate: 5% per year, compounded monthly
- Time period: 15 years

We'll solve each part using the relevant formulas.

### a) How much will you have in the account in 15 years?

For this, we will use the future value of an annuity formula since there are monthly deposits:

\[
FV = P \times \frac{(1 + r/n)^{nt} - 1}{r/n}
\]

Where:
- $P$ = monthly deposit = $300
- $r$ = annual interest rate = 0.05 (5%)
- $n$ = number of times interest is compounded per year = 12 (monthly)
- $t$ = time in years = 15

Let's calculate this value.

### b) How much total money will you put into the account?

This is simply the total amount of money deposited over 15 years:

\[
\text{Total deposits} = P \times n \times t
\]

Where:
- $P$ = $300 (monthly deposit)
- $n$ = 12 (monthly payments per year)
- $t$ = 15 years

### c) How much total interest will you earn?

The total interest earned is the difference between the future value and the total deposits:

\[
\text{Interest} = \text{Future Value} - \text{Total Deposits}
\]

Now I'll calculate each part step by step.Here are the step-by-step results:

### a) How much will you have in the account in 15 years?
You will have **$80,186.68** in the account.

### b) How much total money will you put into the account?
The total amount deposited over 15 years is **$54,000**.

### c) How much total interest will you earn?
The total interest earned will be **$26,186.68**.

Let me know if you need further details or have any questions!

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Here are 5 related questions you could explore:
1. What if the interest was compounded quarterly instead of monthly?
2. How would your total amount change with a higher interest rate, say 6%?
3. What would happen if you increased the monthly deposit to $400?
4. How much would you save if you kept depositing for 20 years instead of 15 years?
5. What happens if the interest rate was 4% instead of 5%?

**Tip:** Compounding frequency significantly affects the amount of interest earned. The more frequently it compounds, the more you'll earn!

You deposit $300 each month into an account earning 5% interest compounded monthly. a) How much will you have in the account in 15 years? b) How much total money will you put into the account? c) How much total interest will you earn?

This problem involves calculating the future value of $300 monthly deposits in an account earning 5% interest compounded monthly over 15 years. Learn to apply the future value of annuities formula and determine how much interest you'll earn. Suitable for Grades 9-12.

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