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指数增长・衰减与复利挑战
The predicted number, B(t), of a certain type of bacteria cell in a growth medium is given by the function B(t)= 80(2)t, where t is the time, in days, since the number of bacteria cells was first measured. Which of the following is the best interpretation of B(5)= 2,560 in this context?
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指数增长・衰减与复利挑战
The table shows the exponential relationship between the number of years, x, since Hana started training in pole vault, and the estimated height h(x), in meters, of her best pole vault for that year. Which of the following functions best represents this relationship, where x ≤ 4?
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指数增长・衰减与复利挑战
The function P(x) = 533(1.011)x models the population of a certain town each year from 1951 through 1966, where x is the number of years after 1951. Which of the following is the best interpretation of “P(5) is approximately equal to 563" in this context?
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指数增长・衰减与复利进阶
The number of bacteria in a liquid medium doubles every day. There are 72,000 bacteria in the liquid medium at the start of an observation. Which of the following represents the number of bacteria, y, in the liquid medium t days after the start of the observation?
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指数增长・衰减与复利进阶
For a certain isotope, at the end of every 29-year period, the mass of a sample of the isotope has decayed to half its mass at the beginning of the 29-year period. The function s(t) =\( 216(0.5)^{\frac{t}{29}} \) gives the approximate mass of this isotope, in grams, that remainst t years after a 216-gram sample starts to decay. Which statement is the best interpretation of s(3 • 29)= 27 in this context?
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指数增长・衰减与复利进阶
z(w) = (0.819)2w
The function z is defined by the equation shown. The value of z(w) decreases by p% for each increase by 1 in the value of w. Which of the following is closest to the value of p?
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指数增长・衰减与复利挑战
The function P(x) =541(1.013)x models the population of a certain town each year from 1954 through 1974, where x is the number of years after 1954. Which of the following is the best interpretation of “P (5) is approximately equal to 577” in this context?
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指数增长・衰减与复利进阶
A company has a customer loyalty program. In January 2018, there were 800 customers enrolled in the loyalty program. For the next 24 months after January 2018, the total number of customers enrolled in the loyalty program each month was 5% greater than the total number enrolled the previous month, Which equation gives the total number of customers, c, enrolled in the company's loyalty program m months after January 2018, where m < 24?
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指数增长・衰减与复利进阶
The function \( f(t)=60,000(2)^{\frac{t}{580}} \) gives the number of bacteria in a population t minutes after an initial observation, How much time, in minutes, does it take for the number of bacteria in the population to double?
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指数增长・衰减与复利挑战
\( f\left(x\right)=26\left(1.20\right)^{\frac{x}{3}} \)
For the given function f, the value of f (x) increases by p% for every increase of x by 6. What is the value of p?
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指数增长・衰减与复利进阶
A company has a customer loyalty program. In January 2018, there were 200 customers enrolled in the loyalty program. For the next 24 months after January 2018, the total number of customers enrolled in the loyalty program each month was 4% greater than the total number enrolled the previous month. Which equation gives the total number of customers, c, enrolled in the company's loyalty program m months after January 2018, where \( m\le24 \) ?
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指数增长・衰减与复利进阶
The function \( f(t)=8,000(2)^{\frac{t}{300}} \) gives the number of bacteria in a population t minutes after an initial observation. How much time, in minutes, does it take for the number of bacteria in the population to double?
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