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 3%, the intermediate-term bonds pay 4%, and the long-term bonds pay 6% simple interest per year. Mark wishes to realize a total annual income of 4.5%, with equal amounts invested in short and intermediate-term bonds. How much should he invest in each type of bond? short-term intermediate-term long-term

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 3%, the intermediate-term bonds pay 4%, and the long-term bonds pay 6% simple interest per year. Mark wishes to realize a total annual income of 4.5%, with equal amounts invested in short- and intermediate-term
bonds. How much should he invest in each type of bond?
short-term
$
intermediate-term $
long-term
$
Transcribed Image Text: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 3%, the intermediate-term bonds pay 4%, and the long-term bonds pay 6% simple interest per year. Mark wishes to realize a total annual income of 4.5%, with equal amounts invested in short- and intermediate-term bonds. How much should he invest in each type of bond? short-term $ intermediate-term $ long-term $
The Juice Company offers three kinds of smoothies: Midnight Mango, Tropical Torrent, and Pineapple Power. Each smoothie contains the amounts of juices shown in the table. On a particular day the Juice Company used 900 oz of mango juice, 810 oz of pineapple juice, and 530 oz of orange juice. How many smoothies of each kind were sold that day?
Orange
juice (oz)
Midnight Mango
Tropical Torrent
Pineapple Power
Smoothie
Midnight Mango
Tropical Torrent
Pineapple Power
Mango
juice (oz)
smoothies
smoothies
smoothies
8
6
2
Pineapple
juice (oz)
3
5
8
3
3
4
Transcribed Image Text:The Juice Company offers three kinds of smoothies: Midnight Mango, Tropical Torrent, and Pineapple Power. Each smoothie contains the amounts of juices shown in the table. On a particular day the Juice Company used 900 oz of mango juice, 810 oz of pineapple juice, and 530 oz of orange juice. How many smoothies of each kind were sold that day? Orange juice (oz) Midnight Mango Tropical Torrent Pineapple Power Smoothie Midnight Mango Tropical Torrent Pineapple Power Mango juice (oz) smoothies smoothies smoothies 8 6 2 Pineapple juice (oz) 3 5 8 3 3 4
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