QuestionConvert 25,000 CAD to USD using the exchange rate of 1 USD = 1.329 CAD. Identify the two fractions for dimensional analysis.
Studdy Solution
STEP 1
Assumptions1. The exchange rate is1 U.S. dollar =1.329 Canadian dollars. The cost of the car in Toronto is25,000 CAD3. The cost of the car in Detroit is19,000 USD4. We want to find the cost of the Toronto car in USD5. We will use dimensional analysis to solve this problem
STEP 2
First, we need to set up the conversion factor from Canadian dollars to U.S. dollars. This is given by the exchange rate.
STEP 3
We can write this conversion factor as a fraction. This will allow us to cancel out the units of Canadian dollars when we multiply.
STEP 4
Now we need to multiply the cost of the car in Toronto (in Canadian dollars) by this conversion factor. This will give us the cost of the car in U.S. dollars.
STEP 5
Plug in the given value for the cost in CAD to calculate the cost in USD.
STEP 6
Calculate the cost in USD.
The cost of the Toronto automobile in U.S. dollars is \$18,815.35.
The two fractions that are multiplied together to calculate the solution using dimensional analysis are1. The cost of the car in CAD, which can be written as a fraction with a denominator of12. The conversion factor from CAD to USDThese fractions cross-cancel the units of CAD, leaving the unit of USD, which is the desired unit for the answer.
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