Math  /  Algebra

Question3. In 2017 Rickard Rakell scored 26 goals after playing the first 53 games for the Anaheim Ducks. If the NHL season is 82 games long, and his scoring rate stayed consistent, how many goals can you expect Rakell to have scored by the end of the season?
4. In the year 2000 , there were approximately 500 million computers in use and it was projected that the amount of computers would increase at a rate of 10%10 \% each year. Based on this model, how many computers were in use in the year 2005? Round to the nearest millions of computers.

Studdy Solution
Substitute the values into the formula:
P=500×(1+0.10)5P = 500 \times (1 + 0.10)^5
Calculate the result:
P=500×(1.10)5=500×1.61051=805.255805 millionP = 500 \times (1.10)^5 = 500 \times 1.61051 = 805.255 \approx 805 \text{ million}
The expected number of goals Rakell can score by the end of the season is:
40 \boxed{40}
The number of computers in use in the year 2005 is approximately:
805 million \boxed{805 \text{ million}}

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