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Sagot :
To determine how many US dollars Mitchell has remaining after his trip to Canada, we need to follow these steps:
1. Exchange 150 USD to CAD:
- According to the exchange rate, 1 USD is equivalent to 0.97071 CAD.
- Therefore, the amount of Canadian dollars Mitchell gets for 150 USD is:
[tex]\[ 150 \times 0.97071 \text{ CAD} = 145.60649999999998 \text{ CAD} \][/tex]
2. Subtract the amount spent in CAD:
- Mitchell spends 20 CAD while in Canada.
- The remaining Canadian dollars after spending 20 CAD is:
[tex]\[ 145.60649999999998 \text{ CAD} - 20 \text{ CAD} = 125.60649999999998 \text{ CAD} \][/tex]
3. Exchange the remaining CAD back to USD:
- The exchange rate for converting CAD back to USD is given as 1 CAD is equivalent to 1.03069 USD.
- The amount of US dollars Mitchell gets from 125.60649999999998 CAD is:
[tex]\[ 125.60649999999998 \text{ CAD} \times 1.03069 \text{ USD/CAD} = 129.461363485 \text{ USD} \][/tex]
After performing all these steps, Mitchell has approximately [tex]\( 129.46 \)[/tex] USD remaining. Therefore, the correct answer among the provided options is:
129.46
1. Exchange 150 USD to CAD:
- According to the exchange rate, 1 USD is equivalent to 0.97071 CAD.
- Therefore, the amount of Canadian dollars Mitchell gets for 150 USD is:
[tex]\[ 150 \times 0.97071 \text{ CAD} = 145.60649999999998 \text{ CAD} \][/tex]
2. Subtract the amount spent in CAD:
- Mitchell spends 20 CAD while in Canada.
- The remaining Canadian dollars after spending 20 CAD is:
[tex]\[ 145.60649999999998 \text{ CAD} - 20 \text{ CAD} = 125.60649999999998 \text{ CAD} \][/tex]
3. Exchange the remaining CAD back to USD:
- The exchange rate for converting CAD back to USD is given as 1 CAD is equivalent to 1.03069 USD.
- The amount of US dollars Mitchell gets from 125.60649999999998 CAD is:
[tex]\[ 125.60649999999998 \text{ CAD} \times 1.03069 \text{ USD/CAD} = 129.461363485 \text{ USD} \][/tex]
After performing all these steps, Mitchell has approximately [tex]\( 129.46 \)[/tex] USD remaining. Therefore, the correct answer among the provided options is:
129.46
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