Let's analyze the problem step by step to determine how many US dollars Mitchell has remaining after his transactions.
1. Initial Exchange from USD to CAD:
- Mitchell starts with 150 US dollars.
- The exchange rate for USD to CAD is 0.97071 CAD per 1 USD.
- The amount of CAD Mitchell receives can be calculated by multiplying 150 USD by the exchange rate of 0.97071.
[tex]\[
\text{CAD received} = 150 \, \text{USD} \times 0.97071 \, \text{CAD/USD} = 145.6065 \, \text{CAD}
\][/tex]
2. Spending in Canada:
- Mitchell spends 20 CAD while in Canada.
- The remaining amount of CAD can be found by subtracting the amount spent from the CAD he initially received.
[tex]\[
\text{CAD remaining} = 145.6065 \, \text{CAD} - 20 \, \text{CAD} = 125.6065 \, \text{CAD}
\][/tex]
3. Exchange from CAD back to USD:
- Mitchell decides to convert the remaining 125.6065 CAD back to USD.
- The exchange rate for CAD to USD is 1.03069 USD per 1 CAD.
- The amount of USD Mitchell gets can be calculated by multiplying the remaining CAD by the exchange rate of 1.03069.
[tex]\[
\text{USD remaining} = 125.6065 \, \text{CAD} \times 1.03069 \, \text{USD/CAD} = 129.4613 \, \text{USD}
\][/tex]
4. Round to the Nearest Hundredth:
- The result 129.4613 USD should be rounded to the nearest hundredth for practical purposes.
[tex]\[
\text{USD remaining (rounded)} = 129.46 \, \text{USD}
\][/tex]
Therefore, after all his transactions, Mitchell has 129.46 US dollars remaining. Thus, the correct answer is:
129.46
