Imagine you build a house and for heating systems you have a choice between solar and air heated by natural gas. the solar heating system costs $30,000 to install, with annual operating of cost of $150 per year afterwards. the gas heating system costs $6,250 to install, with an expected annual operating cost of $1100 per year afterwards. how could you use a system of equations to solve for the time when both systems would be the same cost? how many years would that be and what is the common cost? which system would you want?

Students at a high school were asked about their favorite outdoor activity. the results are shown in the two-way frequency table below. fishing camping canoeing skiing total boys 36 44 13 25 118 girls 34 37 22 20 113 total 70 81 35 45 231 select all the statements that are true based on the given table. more girls chose camping as their favorite outdoor activity than boys. more girls chose canoeing as their favorite outdoor activity than those who chose skiing. more boys chose skiing as their favorite outdoor activity than girls. there were more boys surveyed than girls. twice as many students chose canoeing as their favorite outdoor activity than those who chose fishing. more students chose camping as their favorite outdoor activity than the combined number of students who chose canoeing or skiing.