In: Math
1- A carpenter purchased 50 ft of redwood and 70 ft of pine for a total cost of $259. A second purchase, at the same prices, included 80 ft of redwood and 50 ft of pine for a total cost of $340. Find the cost per foot of redwood and of pine.
2- An investment club placed $27,000 into two simple interest accounts. On one account, the annual simple interest rate is 6.5%. On the other, the annual simple interest rate is 2.5%. How much should be invested in each account so that both accounts earn the same annual interest?
3-Two investments earn an annual income of $422. One investment earns an annual simple interest rate of 8.9%, and the other investment earns an annual simple interest rate of 6.1%. The total amount invested is $6000. How much is invested in each account?