Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short -term, intermediate-term, and long-term. The short-term bonds pay 4%, the intermediate-term bonds pay 5%, and the long-term bonds pay 6% simple interest per year. Mark wishes to realize a total annual income of 5.1%, with equal amounts invested in short-term and intermediate-term bonds. How much should he invest in each type of bond?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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Mark has $100,000 to invest. His financial consultant advises him to diversify his investment in three types of bonds: short -term, intermediate-term, and long-term. The short-term bonds pay 4%, the intermediate-term bonds pay 5%, and the long-term bonds pay 6% simple interest per year. Mark wishes to realize a total annual income of 5.1%, with equal amounts invested in short-term and intermediate-term bonds. How much should he invest in each type of bond?

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