You can choose between two laptops: one with a price of 1299 euros and another with a price of 999 euros. The value of the first laptop depreciates at an exponential rate of 12 % a year. The value of the second laptop depreciates at an exponential rate of 14 % a year. After 8 years, you can sell the laptop. Which one of these laptops would be a more economical purchase (in terms of savings)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. A house has an electricity bill of 120 euros a month. 47 % of this goes into electrical heating. The
tenant decides to reduce the indoor temperature from 23 °C to 19 °C. One degree Celcius
reduction in indoor temperature makes a 5 % difference in the electrical heating bills. How much
are the heating electricity expenses for 10 months if she keeps the temperature at this level for
these 10 months?
2. You can choose between two laptops: one with a price of 1299 euros and another with a price of
999 euros. The value of the first laptop depreciates at an exponential rate of 12 % a year. The
value of the second laptop depreciates at an exponential rate of 14 % a year. After 8 years, you
can sell the laptop. Which one of these laptops would be a more economical purchase (in terms
of savings)?
3. A charity event sells adult tickets for 12 euros and children's tickets for 6 euros. The total revenue
(money earned) is 19 422 euros. And the tickets sold were 1 995. How many adults' and
children's tickets were sold?
4. Consider the following data set on the right: what is the mean,
median, mode and sample standard deviation of this set? What is
the value for 70th percentile of this data set?
Customer 1
Customer 2
Customer 3
Customer 4
Spending
7
16
78
16
Transcribed Image Text:1. A house has an electricity bill of 120 euros a month. 47 % of this goes into electrical heating. The tenant decides to reduce the indoor temperature from 23 °C to 19 °C. One degree Celcius reduction in indoor temperature makes a 5 % difference in the electrical heating bills. How much are the heating electricity expenses for 10 months if she keeps the temperature at this level for these 10 months? 2. You can choose between two laptops: one with a price of 1299 euros and another with a price of 999 euros. The value of the first laptop depreciates at an exponential rate of 12 % a year. The value of the second laptop depreciates at an exponential rate of 14 % a year. After 8 years, you can sell the laptop. Which one of these laptops would be a more economical purchase (in terms of savings)? 3. A charity event sells adult tickets for 12 euros and children's tickets for 6 euros. The total revenue (money earned) is 19 422 euros. And the tickets sold were 1 995. How many adults' and children's tickets were sold? 4. Consider the following data set on the right: what is the mean, median, mode and sample standard deviation of this set? What is the value for 70th percentile of this data set? Customer 1 Customer 2 Customer 3 Customer 4 Spending 7 16 78 16
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