A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets, Monica is purchasing tickets for
5 adults and 9 children.

Evaluate the expression to find the total cost.

25a + 10c - 5 = 25 ( _ ) + 10 ( _ ) - 5

An initial investment of $100 is now valued at $150. the annual interest rate is 5%, compounded continuously. the equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. about how long has the money been invested? use your calculator and round to the nearest whole number. years

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

How can you construct perpendicular lines and prove theorems about perpendicular lines