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?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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