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指数增长・衰减与复利进阶
The function \( f\left(t\right)=40,000\left(2\right)^{\frac{t}{790}} \) 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・衰减与复利基础
An investment account was opened with an initial value of $890. The value of the account doubled every 10 years. Which equation represents the value of the account M(t), in dollars, t years after the account was opened?
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指数增长・衰减与复利进阶
The function \( f\left(t\right)=60,000\left(2\right)^{\frac{t}{410}} \) 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・衰减与复利进阶
Each year, the value of an investment increases by 0.49% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?
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指数增长・衰减与复利基础
A company opens an account with an initial balance of $36,100.00. The account earns interest, and no additional deposits or withdrawals are made. The account balance is given by an exponential function A, where A(t) is the account balance, in dollars, t years after the account is opened. The account balance after 13 years is $68,071.93. Which equation could define A?
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指数增长・衰减与复利挑战
For the function q, the value of q(x) decreases by 45% for every increase in the value of x by 1. If \( q\left(0\right)=14 \) , which equation defines q?
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指数增长・衰减与复利基础
The number of bacteria in a liquid medium doubles every day. There are 44,000 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・衰减与复利挑战
A model predicts that the population of Bergen was 15,000 in 2005. The model also predicts that each year for the next 5 years, the population p increased by 4% of the previous year's population. Which equation best represents this model, where x is the number of years after 2005, for \( x\le5 \)?
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指数增长・衰减与复利挑战
Two investments were made as shown in the table above. The interest in Account A is compounded once per year. Which of the following is true about the investments?
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指数增长・衰减与复利挑战
A model estimates that at the end of each year from 2015 to 2020, the number of squirrels in a population was 150% more than the number of squirrels in the population at the end of the previous year. The model estimates that at the end of 2016 , there were 180 squirrels in the population. Which of the following equations represents this model, where n is the estimated number of squirrels in the population t years after the end of 2015 and t\( ≤ 5 \)?
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指数增长・衰减与复利挑战
The population P of a certain city y years after the last census is modeled by the equation below, where r is a constant and P0 is the population when y = 0.
P = P0(1+ r )y
If during this time the population of the city decreases by a fixed percent each year, which of the following must be true?
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指数增长・衰减与复利挑战
\( f\left(x\right)=5,470\left(0.64\right)^{\frac{x}{12}} \)
The function f gives the value, in dollars, of a certain piece of equipment after x months of use. If the value of the equipment decreases each year by p% of its value the preceding year, what is the value of p ?
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