During a month with 30 days, a baseball team plays at least one game a day but no more than 45 games. using the pigeonhole principle, show a period of some number of consecutive days during which the team must play exactly 14 games.

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

At the beginning of year 1, carlos invests $600 at an annual compound interest rate of 4%. he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 5? what is, the balance?

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?