2009-05-03, 09:02 PM
Kay. So I wasn't in class on Friday because of Physics day at Six Flags, so my math teacher gives me this graded classwork on Thursday which covers the stuff we did on Friday. And I dunno what we did, so yeah. Two questions I don't really understand how to do.
Solve with Matrices:
Melody has $45,000 to invest and wishes to receive an annual income of $4,290 from this money. She has chosen investments that pay 5%, 8% and 12% simple interest. Melody wants to have the amount invested at 12% to be double the amount invested at 8%. How much should she invest at each rate?
A company manufactures three types of wooden chairs: the Kitui, the Goa, and the Santa Fe. To make a Kitui chair requires 1 hour of cutting time, 1.5 hours of assembly time, and 1 hour of finishing time. A Goa chair requires 1.5 hours of cutting time, 2.5 hours of assembly time, and 2 hours of finishing time. A Santa Fe chair requires 1.5 hours of cutting time, 3 hours of assembly time and 3 hours of finishing time. If 41 hours of cutting time, 70 hours of assembly time and 58 hours of finishing time were used in one week, how many of each type of chair were produced?
Thanks in advance. :]
Solve with Matrices:
Melody has $45,000 to invest and wishes to receive an annual income of $4,290 from this money. She has chosen investments that pay 5%, 8% and 12% simple interest. Melody wants to have the amount invested at 12% to be double the amount invested at 8%. How much should she invest at each rate?
A company manufactures three types of wooden chairs: the Kitui, the Goa, and the Santa Fe. To make a Kitui chair requires 1 hour of cutting time, 1.5 hours of assembly time, and 1 hour of finishing time. A Goa chair requires 1.5 hours of cutting time, 2.5 hours of assembly time, and 2 hours of finishing time. A Santa Fe chair requires 1.5 hours of cutting time, 3 hours of assembly time and 3 hours of finishing time. If 41 hours of cutting time, 70 hours of assembly time and 58 hours of finishing time were used in one week, how many of each type of chair were produced?
Thanks in advance. :]

