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2. Renewable power technologies implementation grows at an exponential yearly rate of 8% a year, how many years until we have reached 90 % production if the current level is 40 %?

2. Renewable power technologies implementation grows at an exponential yearly rate of 8% a year, how many years until we have reached 90 % production if the current level is 40 %?

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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Please answer 2 only correctly . (Hand written ) please show neat and clean work .
1. Pirkko wants to invest 9 000 euros so that after 8 years she will have 14 000 euros. What is the required compound (yearly) interest rate for this investment? How much more is the amount if the compound interest rate is 1% more? 2. Renewable power technologies implementation grows at an exponential yearly rate of 8% a year, how many years until we have reached 90 % production if the current level is 40 %? 3. A newly bought car has a value of 35 000 euros. If this value decreases at an exponential rate of 14%, what will be the value after 8 years? How many years until this is 2 000 euros? 4. A company's average variable costs are given by a function 0,2Q2-7Q + 150. Find out where the costs are minimized. What is the difference between average costs when Q is 38 and 39 as a percentage? 5. Ville drives 110 km to a city. On the way back, there is traffic and his travel speed is 20 km/hour less. If the total trip back took 15 minutes longer, how fast did he drive to the city?
Transcribed Image Text:1. Pirkko wants to invest 9 000 euros so that after 8 years she will have 14 000 euros. What is the required compound (yearly) interest rate for this investment? How much more is the amount if the compound interest rate is 1% more? 2. Renewable power technologies implementation grows at an exponential yearly rate of 8% a year, how many years until we have reached 90 % production if the current level is 40 %? 3. A newly bought car has a value of 35 000 euros. If this value decreases at an exponential rate of 14%, what will be the value after 8 years? How many years until this is 2 000 euros? 4. A company's average variable costs are given by a function 0,2Q2-7Q + 150. Find out where the costs are minimized. What is the difference between average costs when Q is 38 and 39 as a percentage? 5. Ville drives 110 km to a city. On the way back, there is traffic and his travel speed is 20 km/hour less. If the total trip back took 15 minutes longer, how fast did he drive to the city?
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