A business based in India pays a consultant in the U.S. [tex]$5,780,000$[/tex] rupees per year. Assume that the conversion rate is 1 rupee to 0.016 dollars. What is the consultant's salary in dollars per month?

First, fill in the two blanks on the left side of the equation using two of the ratios. Then write your answer, rounded to the nearest hundredth, on the right side of the equation.

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This task involves performing the conversion and calculation to find the consultant's monthly salary in dollars. Ensure your final answer is rounded to the nearest hundredth.



Answer :

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].