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Statement 1
210 = \(1,000((1+\frac{r}{100})^2-1)\)
1210 = \(1,000(1+\frac{r}{100})^2\)
\(\frac{121}{100}= (1+\frac{r}{100})^2\)
\(\frac{11}{10}= 1+\frac{r}{100}\)
\(\frac{1}{10}= \frac{r}{100}\)
\(r= 10\)
Sufficient
Statement 2
\((1 + \frac{r}{100})^2 > 1.15\)
\((1 + \frac{r}{100})^2 - 1> 1.15-1\)
\(1000((1 + \frac{r}{100})^2 - 1)> 150\)
If r = 8, then 1000(1+8/100)^2)-1000 = ~166
Insufficient
\(1000((1 + \frac{r}{100})^2 - 1)> 150\) doesn't tell me if value is greater than or equal to or less than 166
210 = \(1,000((1+\frac{r}{100})^2-1)\)
1210 = \(1,000(1+\frac{r}{100})^2\)
\(\frac{121}{100}= (1+\frac{r}{100})^2\)
\(\frac{11}{10}= 1+\frac{r}{100}\)
\(\frac{1}{10}= \frac{r}{100}\)
\(r= 10\)
Sufficient
Statement 2
\((1 + \frac{r}{100})^2 > 1.15\)
\((1 + \frac{r}{100})^2 - 1> 1.15-1\)
\(1000((1 + \frac{r}{100})^2 - 1)> 150\)
If r = 8, then 1000(1+8/100)^2)-1000 = ~166
Insufficient
\(1000((1 + \frac{r}{100})^2 - 1)> 150\) doesn't tell me if value is greater than or equal to or less than 166
butterfly
