Claire prides herself on being a smart investor. Recently she invested some money and doubled the amount. Feeling good about herself, she spent $4000 on a trip around the world. At the same time she reinvested
what was left. After returning from her trip, she found out that the amount invested had tripled. She
threw a party that cost $5000 and put the remaining $10000 in the bank. How much money did she have at
the start?

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?