5272道题目5525 条题源记录 · 相同内容已合并
指数增长・衰减与复利挑战
\( f\left(x\right)=75\left(0.3\right)^x \)
The function \( f\left(x\right) \) is a decreasing exponential function. By what percent is \( f\left(n\right) \)less than \( f\left(n-1\right) \)? (Disregard the % sign when entering your answer. For example, if your anwer is 4.97%, enter 4.97.)
原库参考解析
指数增长・衰减与复利进阶
A certain neighborhood had a population of 1340 in 2009. Each year for the next 5 years, the population of the neighborhood increased by approximately 3% of the population the previous year. Which of the following equations represents the population, N, of the neighborhood t years after 2009, where t≤5?
原库参考解析
指数增长・衰减与复利进阶
A certain neighborhood had a population of 1,340 in 2009. Each year for the next 5 years, the population of the neighborhood increased by approximately 3% of the population the previous year. Which of the following equations represents the population, N, of the neighborhood t years after 2009, where t \( \le \) 5?
原库参考解析
指数增长・衰减与复利进阶
In 2018,approximately 40,000 kilowatts of solar power capacity was newly installed in a certain area in the United States.In 2019, the amount of newly installed solar power capacity in this area increased by 11% from the amount of newly installed solar power capacity in 2018.If the amount of newly installed solar power capacity continues to increase each year by 11% of the previous year's newly installed solar power capacity, which of the following types of functions best describes how the amount of newly installed solar power capacity changes over time?
原库参考解析
指数增长・衰减与复利进阶
f(x) =7,000(1.003)2x
The given function f models the balance of a bank account, in dollars, x years after it is opened. which statement is the best interpretation of (1.003)2x?
原库参考解析
指数增长・衰减与复利挑战
The amount of money owed on a certain type of loan has two components: the principal balance of the loan and the amount of interest accrued on the loan. For a loan of this type, each payment was $298.00 and there were 60 payments total. Part of each payment was applied to the principal balance of the loan, and the rest was applied to the amount of interest accrued on the loan. The amount of the 1st payment that was applied to the principal balance was $220.93. For each additional payment, the amount that was applied to the principal balance was approximately 0.5% greater than the amount that was applied to the principal balance for the previous payment. Which function best approximates the amount of the x th payment, in dollars, that was applied to the amount of interest accrued, where x ≤ 60?
原库参考解析
指数增长・衰减与复利进阶
\( y=7,400\left(0.87\right)^x \)
The given equation estimates the value, in dollars, of a certain car x years after it was purchased. According to the given equation, what was the estimated value, in dollars, of the car at the time it was purchased?
原库参考解析
指数增长・衰减与复利挑战
\( f\left(x\right)=k\left(1.85\right)^x \)
The function f is defined by the given equation, where k is a constant. The value of f(x) increases by p% for every increase of x by 1. For which of the following functions, where k is a constant, does the value of g(x) increase by p% for every increase of x by \( \frac{1}{3} \)?
原库参考解析
指数增长・衰减与复利挑战
\( f\left(x\right)=6,110\left(0.18\right)^{\frac{x}{12}} \)
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?
原库参考解析
指数增长・衰减与复利挑战
The number of bacteria in a liquid medium doubles every day. There are 83,000 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?
原库参考解析
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?
原库参考解析
指数增长・衰减与复利挑战
According to a model, the estimated volume of a certain Douglas fir tree increases by 15.5% for every increase of 100 centimeters in the tree's height. The equation \( y=ab^{\frac{x}{100}} \) represents this model, where y represents the estimated volume, in cubic centimeters, of this Douglas fir tree, x represents the tree's height, in centimeters, and a and b are constants. In this equation, what is the value of b?
原库参考解析
