Question

格林先生每年加薪 $10\%$ 。连续四次这样的加薪后，他的薪水总共上涨了百分之多少？

Mr. Green receives a $10\%$ raise every year. His salary after four such raises has gone up by what percent?

小于 $40\%$

less than $40\%$

$40\%$

$44\%$

$45\%$

大于 $45\%$

more than $45\%$

一次 $10\%$ 的加薪会把薪水乘以 $1.1$

Applying a $10\%$ raise multiplies the salary by $1.1$

四次加薪后薪水乘以 $1.1^4$ ；把它和 $1.45$ 比较

After four raises the salary is multiplied by $1.1^4;$ compare that to $1.45$

四次加薪后薪水被乘以 $1.1^4 = 1.4641$ 。

这表示增加了 $46.41\%$ ，大于 $45\%$ 。

所以正确答案是 E。

After four raises the salary is multiplied by $1.1^4 = 1.4641.$

That is an increase of $46.41\%,$ which is more than $45\%.$

Thus, the correct answer is E .