Brooke has an exterminator visit regularly to control an ongoing cockroach problem. It's been working, and the population has declined by 5% every year. If the population is currently 4,900 cockroaches, how many will there be in 5 years?

1. are the triangles similar and if so why? what is the value of x? show your work.

Consider the graph of the exponential function y=3(2)×

Acaterer charges $500 plus $30 per guest to cater a wedding. walt and traci don't want to spend more than $8000 on catering. write and solve an inequality in terms of the number of guests, g, that can be invited. a) 30g ? 8000; g ? 267 b) 500g < 8000; g < 16 c) 500 + 30g < 8000; g < 250 d) 500 + 30g ? 8000; g ? 250