Let's break down the problem step by step to find out how many US dollars (USD) Mitchell has remaining after his transactions in Canada.
1. Initial amount in USD:
Mitchell starts with 150 USD.
2. Conversion from USD to Canadian Dollars (CAD):
The exchange rate from USD to CAD is 0.97071 USD per 1 CAD. To find out how much CAD Mitchell receives, we use the following calculation:
[tex]\[
\text{CAD received} = 150 \, \text{USD} \times \frac{1 \, \text{CAD}}{0.97071 \, \text{USD}} = 150 \, \text{USD} \times 0.97071 = 145.61 \, \text{CAD}
\][/tex]
3. Spending in Canada:
Mitchell spends 20 CAD in Canada. To find out how much CAD he has left, we subtract the spent amount from the amount he received:
[tex]\[
\text{CAD remaining} = 145.61 \, \text{CAD} - 20 \, \text{CAD} = 125.61 \, \text{CAD}
\][/tex]
4. Conversion from CAD back to USD:
The exchange rate from CAD to USD is 1.03069 CAD per 1 USD. To find out how much USD Mitchell gets when he converts the remaining CAD back to USD, we use the following calculation:
[tex]\[
\text{USD remaining} = 125.61 \, \text{CAD} \times \frac{1 \, \text{USD}}{1.03069 \, \text{CAD}} = 125.61 \, \text{CAD} \times 1.03069 = 129.46 \, \text{USD}
\][/tex]
So, after all his transactions, Mitchell has approximately 129.46 USD remaining. The correct answer is:
[tex]\[
\boxed{129.46}
\][/tex]
