A water tank holds 3000 litres when full. A crack in the base is gradually getting larger resulting in a greater amount of water being lost daily. i) On the first day of filling, 15 litres of water are being lost and this increases by 3 litres each day. a) How many litres will be lost on the 30th day after filling? b) The tank becomes empty during the nth day after filling. Find the value of n. ii) Assume instead that 15 litres of water are lost on the first day and the amount of water lost increase by 15% on each successful day. Find what percentage of the original 3000 litres is left in the tank at the end of the 30th day after filling.
A water tank holds 3000 litres when full. A crack in the base is gradually getting larger resulting in a greater amount of water being lost daily. i) On the first day of filling, 15 litres of water are being lost and this increases by 3 litres each day. a) How many litres will be lost on the 30th day after filling? b) The tank becomes empty during the nth day after filling. Find the value of n. ii) Assume instead that 15 litres of water are lost on the first day and the amount of water lost increase by 15% on each successful day. Find what percentage of the original 3000 litres is left in the tank at the end of the 30th day after filling.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
A water tank holds 3000 litres when full. A crack in the base is gradually getting larger resulting in a greater amount of water being lost daily.
i) On the first day of filling, 15 litres of water are being lost and this increases by 3 litres each day.
a) How many litres will be lost on the 30th day after filling?
b) The tank becomes empty during the nth day after filling. Find the value of n.
ii) Assume instead that 15 litres of water are lost on the first day and the amount of water lost increase by 15% on each successful day. Find what percentage of the original 3000 litres is left in the tank at the end of the 30th day after filling.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 7 steps with 7 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
