The Smith family plans to purchase a new house in 4 years, and they want to make a down payment of 25% of the estimated purchase price of $250,000.
Find the amount they need to invest to make the down payment if
funds earn 12% compounded quarterly.

George is 187 cm tall. his son, ralph, is 142 cm tall. who casts the longer shadow. george when the sun is 65° above the horizon, or ralph when the sun is 56° above the horizon? how much longer? (nearest centimeter)

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

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