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SAT数学练习题一道

  下面是一道SAT数学练习题,是关于银行的利率方面的内容,但是题目相对比较简单。大家在备考自己的SAT数学考试的时候,一定要多加练习相关的题目,这样才能理解SAT数学考试的出题方式和专业的词汇,才更有可能拿到高分成绩。

  Alison deposits 500 dollarsinto a new savings account that earns 5percent interest compounded annually. If Alison makes no additional deposits or withdrawals, how many years will it take for the amount in the account to double?

 

  Answer Choices

  (A) 14

 

  (B) 15

 

  (C) 19

 

  (D) 20

 

  (E) 21

 

  The correct answer is B

  Explanation

  Difficulty: Medium

  After 1year, the amount in the account is equal to 500 dollars times 1.05. After 2years, the amount is equal to 500 dollars times (1.05)^2, and so on. After nyears, the amount is equal to 500 dollars times (1.05)^n. You need to find the value of nfor which 500 times (1.05)^n = 1000. There are several ways to solve this equation. You can use logarithms to solve the equation as follows.

 

 

Stacked Equation

 

  Since n = 14.2, it will take more than 14years for the amount in the account to double. Thus, you need to round 14.2up to 15.

 

  Another way to find nis to use your graphing calculator to graph y = 500 times (1.05)^xand y = 1000. From the answer choices, you know you need to set the viewing window with xvalues from 0to about 25and yvalues extending just beyond 1000. The x-coordinateof the point of intersection is approximately 14.2. Thus you need to round up to 15.

  以上就是这道SAT数学练习题的全部内容,来自SAT考试官方网站,后面附有详细的答案解析和难度提示。大家可以在备考SAT数学考试的时候对上面的题目进行适当的练习和参考借鉴。

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