1) According to the 1998 Information Please Almanac, the official speed record for running one mile was held by Richard Webster of England in 1865, with a time of 4 minutes 36.5 seconds. Roger Bannister, also of England, was the first to run a mile in less than four minutes, clocking a time of 3 minutes 59.4 seconds in 1954. There are (of course) 60 seconds in each minute. Therefore, we could convert both times into seconds, writing them as follows: a1865 = 276.5 seconds and a1954 = 239.4 seconds. 2)After graduation, B. Kind pledges to make an annual donation to his college. The first year he will donate $200. Every year after that he will increase his donation by 12%. How much will Mr. Kind be giving to the college over the next 20 years? This problem would require formulas for: a. geometric series b. arithmetic series c. geometric sequences d. arithmetic sequences 3)A business makes $100,000 profit the first year. If the yearly profit increases by $75,000 each subsequent year, what will the profit be in the tenth year?
1) According to the 1998 Information Please Almanac, the official speed record for running one mile was held by Richard Webster of England in 1865, with a time of 4 minutes 36.5 seconds.
Roger Bannister, also of England, was the first to run a mile in less than four minutes, clocking a time of 3 minutes 59.4 seconds in 1954.
There are (of course) 60 seconds in each minute. Therefore, we could convert both times into seconds, writing them as follows:
a1865 = 276.5 seconds and a1954 = 239.4 seconds.
2)After graduation, B. Kind pledges to make an annual donation to his college. The first year he will donate $200. Every year after that he will increase his donation by 12%. How much will Mr. Kind be giving to the college over the next 20 years?
This problem would require formulas for:
a. geometric series
b. arithmetic series
c. geometric sequences
d. arithmetic sequences
3)A business makes $100,000 profit the first year. If the yearly profit increases by $75,000 each subsequent year, what will the profit be in the tenth year?
This problem would require formulas for:
a. arithmetic series
b. geometric series
c. arithmetic sequences
d. geometric sequences
4)Tuition at Maybe College is now $6000 per year and will increase $200 per year in succeeding years. If a student starts school now, spends four years in undergraduate school, three years in law school and five years getting a PhD, how much tuition will he have paid?
This problem would require formulas for
a. arithmetic series
b. geometric series
c. arithmetic sequences
d. geometric sequences
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