Question

$If(1.001{)}^{1259}=3.52$

$(1.001{)}^{2062}=7.85$

$then(1.001{)}^{3321}=?$

• A. 2.23
• B. 4.33
• C. 11.37
• D. 27.64

Answer 1

The correct option is D 27.64

$(1.001{)}^{1259}=3.52and(1.001{)}^{2062}=7.85$

$(1.001{)}^{1259}\times (1.001)=(1.001{)}^{3321}\downarrow \downarrow 3.52\times 7.85=\left(1.001{)}^{3321}\right(as{a}^m\times a^n=a^{m+n})$

$Hence(1.001{)}^{3321}=27.632\approx 27.64$