Sure, let's go through the detailed steps to find the consultant's salary in dollars per month.
1. Step 1: Convert the annual salary from rupees to dollars
- The annual salary in rupees is [tex]\( 5{,}780{,}000 \)[/tex] rupees.
- The conversion rate from rupees to dollars is [tex]\( 0.016 \)[/tex] dollars per rupee.
- To find the annual salary in dollars, multiply the annual salary in rupees by the conversion rate:
[tex]\[
\text{Annual Salary in Dollars} = 5{,}780{,}000 \text{ rupees} \times 0.016 \text{ dollars/rupee} = 92{,}480 \text{ dollars}
\][/tex]
2. Step 2: Calculate the monthly salary in dollars
- There are 12 months in a year.
- To find the monthly salary, divide the annual salary in dollars by 12:
[tex]\[
\text{Monthly Salary in Dollars} = \frac{92{,}480 \text{ dollars}}{12} = 7{,}706.6667 \text{ dollars}
\][/tex]
3. Step 3: Round the monthly salary to the nearest hundredth
- The monthly salary in dollars calculated is approximately [tex]\( 7{,}706.6667 \)[/tex] dollars.
- To round to the nearest hundredth:
[tex]\[
7{,}706.6667 \approx 7{,}706.67
\][/tex]
So, the completed amounts are:
[tex]\[
\text{Annual Salary in Dollars} = 92{,}480 \text{ dollars}
\][/tex]
[tex]\[
\text{Monthly Salary in Dollars} = 7{,}706.67 \text{ dollars}
\][/tex]
Thus, the consultant's salary in dollars per month, rounded to the nearest hundredth, is [tex]\( \boxed{7{,}706.67} \)[/tex].
