**Investment and Interest Calculation**

To solve this problem, we need to calculate the amount standing to the person's credit one year after making the yearly investment for the 12th time. Here are the steps to calculate it:

1. **Yearly Investment**: The person invests $500 at the end of each year. This means that after the first year, the person will have invested $500. After the second year, the person will have invested a total of $1,000 ($500 + $500), and so on.

2. **Interest Rate**: The bank pays compound interest at a rate of 10% per annum. This means that the interest is added to the initial investment and the accumulated interest from previous years.

3. **Compound Interest**: Compound interest is calculated using the formula:
A = P(1 + r/n)^(nt)

Where:
A = the final amount
P = the principal amount (initial investment)
r = annual interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years

In this case, the person invests once a year, so n = 1.

4. **Calculating the Amount**: To calculate the amount standing to the person's credit after 12 years, we need to calculate the compound interest for each year and add it to the initial investment.

- After the first year, the person has invested $500, so the amount is simply $500.
- After the second year, the person has invested a total of $1,000. Using the compound interest formula, we can calculate the amount as follows:
A = $1,000(1 + 0.1/1)^(1*1) = $1,100

Following the same process, we can calculate the amount for each year and add it to the previous amount:

- Year 1: $500
- Year 2: $1,100
- Year 3: $1,210
- Year 4: $1,331
- Year 5: $1,464.10
- Year 6: $1,610.51
- Year 7: $1,771.56
- Year 8: $1,948.72
- Year 9: $2,143.59
- Year 10: $2,357.95
- Year 11: $2,593.75
- Year 12: $2,853.12

Therefore, the amount standing to the person's credit one year after making the yearly investment for the 12th time is $2,853.12.