Afarmer noticed that his chickens were loose and were running around with the cows in the cow pen. he quickly counted 100 heads and 270 legs. how many chickens did he have and how many cows?

You deposit $5000 each year into an account earning 3% interest compounded annually. how much will you have in the account in 30 years?

The areas of two similar triangles are 72dm2 and 50dm2. the sum of their perimeters is 226dm. what is the perimeter of each of these triangles?

According to a study conducted in 2015, 18% of shoppers said that they prefer to buy generic instead of name-brand products. suppose that in a recent sample of 1500 shoppers, 315 stated that they prefer to buy generic instead of name-brand products. at a 5% significance level, can you conclude that the proportion of all shoppers who currently prefer to buy generic instead of name-brand products is higher than .18? use both the p-value and the critical-value approaches.