Section 1.2 Applications of Linear Equations in One Variable 67 Concept 4: Applications Involving Principal and Interest 33. Tony has a total of $12,500 in two accounts. One account pays 2% simple interest per year and the other pays 5% simple interest. If he earned $370 in interest in the first year, how much did he invest in each account? (See Example 5.) 34. Lillian had $15,000 invested in two accounts, one paying 9% simple interest and one paying 10% simple interest. How much was invested in each account if the interest after 1 yr is $1432? 35. Jason borrowed $18,000 in two loans. One loan charged 11% simple interest and the other charged 6% simple interest. After 1 yr, Jason paid a total of $1380. Find the amount borrowed in each loan. 36. Amanda borrowed $6000 from two sources: her parents and a credit union. Her parents charged 3% simple interest and the credit union charged 8% simple interest. If after 1 yr,Amanda paid $255 in interest, how much did she borrow from her parents, and how much did she borrow from the credit union? 37. Donna invested money in two accounts: one paying 4% simple interest and the other paying 3% simple interest. She invested $4000 more in the 4% account than in the 3% account. If she received $720 in interest at the end of 1 yr how much did she invest in each account? 38. Mr. Hall had some money in his bank earning 4.5% simple interest. He had $5000 more deposited in a credit union earning 6% simple interest. If his total interest for 1 yr was $1140, how much did he deposit in each account? 41. Jacque has 3 L of a 50% antifreeze mixture. How much 75% mixture should be added to get a mixture that is 60% antifreeze? 42. One fruit punch has 40% fruit juice and another is 70% fruit juice. How much of the 40% punch should be mixed with 10 gal of the 70% punch to create a fruit punch that is 45% fruit juice? 43. How many liters of an 18% alcohol solution must be added to a 10% alcohol solution to get 20 L of a 15% alcohol solution? 44. How many milliliters of a 2.5% bleach solution must be mixed with a 10% bleach solution to produce 600 mL of a 5% bleach solution? 45. Ronald has a 12% solution of the fertilizer Super Grow. How much pure Super Grow should he add to the mixture to get 32 oz of a 17.5% concentration? 46. How many ounces of water must be added to 20 oz of an 8% salt solution to make a 2% salt solution? Concept 5: Applications Involving Mixtures 39. Ahmed mixes two plant fertilizers. How much fertilizer with 15% nitrogen should be mixed with 2 oz of fertilizer with 10% nitrogen to produce a fertilizer that is 14% nitrogen? (See Example 6.) 40. How much 8% saline solution should Kent mix with 80 cc (cubic centimeters) of an 18% saline solution to produce a 12% saline solution? 47. An airplane travels 60 mph faster from Atlanta to Fort Lauderdale than it travels on the return trip from Fort Lauderdale to Atlanta. If it takes 2 hr from Atlanta to Fort Lauderdale and 2.5 hr for the return trip, determine the speed of each trip. (See Example 7.) 48. A woman can hike 1 mph faster down a trail to Archuletta Lake than she can on the return trip uphill. It takes her 3 hr to get to the lake and 6 hr to return.What is her speed hiking down to the lake? 49. Two cars are 192 mi apart and travel toward each other on the same road.They meet in 2 hr. One car travels 4 mph faster than the other. What is the average speed of each car? 50. Two cars are 190 mi apart and travel toward each other along the same road.They meet in 2 hr. One car travels 5 mph slower than the other car.What is the average speed of each car? Concept 6: Applications Involving Distance, Rate, and Time
miller_intermediate_algebra_4e_ch1_3
To see the actual publication please follow the link above