Alexander Carver loaned $3,000 to Bonnie Humphrey for a vacation trip. Compute the loan period if Alexander charged 10% exact simple interest (365-day year) and Bonnie repaid a total of $3,082.19. (To the nearest day.)

Exact Simple Interest

Interest calculated on the principal amount of a loan or investment, based on a 365-day year without compounding.

Loan Period

The duration of time from when a loan is issued to when it is expected to be fully repaid, including its principal and interest.

365-day Year

A financial calculation basis using a calendar year of 365 days for computing interest rates and other financial metrics, ignoring leap year variations.