O MEASUREMENTWord problem involving conversion between compound units...84°FOB https://www-awu.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-liJQhiJODya094wj2gUSkib9agPtGFIZ2D9LfhOHW ✩A business based in South Africa pays a consultant in the U.S. 1,520,000 rand per year. Assume that the conversion is 1 rand to 0.074 dollars. What is theconsultant's salary in dollars per month?Ratios: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 ofthe equation.Explanation1 rand0.074 dollars1,520,000 rand1 yrCheck0.074 dollars.1 rand0HE1 yr12 mo012 mo1 yrdollarsmo10randmodollarsI need help with this math problem.

Answer :

The following conversions are given in the question:

[tex]\begin{gathered} 1\text{ rand}\Rightarrow0.074\text{ dollars} \\ 1\text{ year}\Rightarrow12\text{ months} \end{gathered}[/tex]

The amount in rands can be converted using the relationship:

[tex]1,520,000\text{ rands}\times\frac{0.074\text{ dollars}}{1\text{ rand}}[/tex]

One year is converted to months as:

[tex]1\text{ year}\times\frac{12\text{ months}}{1\text{ year}}[/tex]

Hence, the entire conversion can be written to be:

[tex]\frac{1,520,000\text{ rands}}{1\text{ year}}\times\frac{0.074\text{ dollars}}{1\text{ rand}}\times\frac{1\text{ year}}{12\text{ months}}[/tex]

Therefore, we can calculate the amount to be:

[tex]\Rightarrow9373.33\text{ }\frac{dollars}{month}[/tex]

ANSWER

[tex]\frac{1,520,000\text{ rands}}{1\text{ year}}\times\frac{0.074\text{ dollars}}{1\text{ rand}}\times\frac{1\text{ year}}{12\text{ months}}[/tex]

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