To determine how many US dollars Mitchell has remaining after his trip to Canada, we will follow these steps:
1. Exchange US Dollars to Canadian Dollars:
Mitchell initially exchanges 150 US dollars (USD) to Canadian dollars (CAD). Given the exchange rate is 1 USD = 1.03069 CAD, we will convert the amount.
[tex]\[
\text{Initial amount in CAD} = 150 \text{ USD} \times 1.03069 \frac{\text{CAD}}{\text{USD}}
\][/tex]
Calculating this, we find:
[tex]\[
\text{Initial amount in CAD} = 154.6035 \text{ CAD}
\][/tex]
2. Spend Canadian Dollars:
Mitchell spends 20 CAD during his trip. Subtracting this from the initial amount in CAD, we get:
[tex]\[
\text{Remaining amount in CAD} = 154.6035 \text{ CAD} - 20 \text{ CAD}
\][/tex]
This leads to:
[tex]\[
\text{Remaining amount in CAD} = 134.6035 \text{ CAD}
\][/tex]
3. Exchange Remaining Canadian Dollars back to US Dollars:
Upon returning, Mitchell exchanges the remaining CAD back to USD. Given the exchange rate is 1 CAD = 0.97071 USD, we will convert the remaining amount back to USD.
[tex]\[
\text{Remaining amount in USD} = 134.6035 \text{ CAD} \times 0.97071 \frac{\text{USD}}{\text{CAD}}
\][/tex]
Calculating this, we find:
[tex]\[
\text{Remaining amount in USD} = 130.660963485 \text{ USD}
\][/tex]
4. Rounding:
We can round this amount to two decimal places for practical purposes:
[tex]\[
\text{Remaining amount in USD} \approx 130.66 \text{ USD}
\][/tex]
Therefore, Mitchell has 130.66 US dollars remaining.
Among the given choices:
- 129.46
- 130.00
- 130.66
- 134.59
The correct answer is 130.66.
