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5. Solve the following system of equations 2x+4y + 5z = -12 x+2y-32= 23 3x - 4y-2z = 14

5. Solve the following system of equations 2x+4y + 5z = -12 x+2y-32= 23 3x - 4y-2z = 14

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Liisa wants to invest 5 500 euros in two accounts. One is an investment account that generates an interest of 7 % yearly and another is a savings account that generates a 3% interest yearly. If she wants to generate a total of 220 euros interest yearly. how much should she invest in each of the accounts? 2. Let's say wind power production is predicted to grow to 15 TWh (Terawatt hours) by 2030 and this is a 110 % growth from the value in 2022, how much is the wind power production in 2022? 3. Mikko bought a shirt and trousers for 130 euros. If he got a 30 % discount on the shirt and a 20% discount on the trousers, how much did each item cost initially, if they together would have cost 170 euros? 4. A music festival charges 110 euros for a 2-day ticket and 190 for a 3-day ticket. During the festival weekend, the total sales of the tickets were 9 422 420 euros and the number of tickets was 67 542. a) How many 2 and 3-day tickets were sold? b) If the festival looked to boost its sales by 100 000 euros, expecting a purchasing ratio of 23 for 2-day tickets to 3-day tickets, (2 two-day tickets per 3 three-day tickets) how many tickets of each would it need to sell? 5. Solve the following system of equations 2x + 4y + 5z = -12 x + 2y - 32 = 23 3x - 4y - 2z = 14
Transcribed Image Text:1. Liisa wants to invest 5 500 euros in two accounts. One is an investment account that generates an interest of 7 % yearly and another is a savings account that generates a 3% interest yearly. If she wants to generate a total of 220 euros interest yearly. how much should she invest in each of the accounts? 2. Let's say wind power production is predicted to grow to 15 TWh (Terawatt hours) by 2030 and this is a 110 % growth from the value in 2022, how much is the wind power production in 2022? 3. Mikko bought a shirt and trousers for 130 euros. If he got a 30 % discount on the shirt and a 20% discount on the trousers, how much did each item cost initially, if they together would have cost 170 euros? 4. A music festival charges 110 euros for a 2-day ticket and 190 for a 3-day ticket. During the festival weekend, the total sales of the tickets were 9 422 420 euros and the number of tickets was 67 542. a) How many 2 and 3-day tickets were sold? b) If the festival looked to boost its sales by 100 000 euros, expecting a purchasing ratio of 23 for 2-day tickets to 3-day tickets, (2 two-day tickets per 3 three-day tickets) how many tickets of each would it need to sell? 5. Solve the following system of equations 2x + 4y + 5z = -12 x + 2y - 32 = 23 3x - 4y - 2z = 14
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