Question

a family uses 12,986.64 swiss francs per year to pay a mortgage that requires us dollars. approximately how much, in us dollars, does the family spend per month on the mortgage?
1 us dollar = 0.9019 swiss francs
1 swiss franc = 1.11 us dollar
○ $975
○ $1,080
○ $1,200
○ $1,440

Explanation:

Step1: Convert annual Swiss francs to US dollars

The family spends 12,986.64 Swiss francs per year. Since 1 Swiss franc = 1.11 US dollars, we multiply the annual Swiss franc amount by 1.11 to get the annual US dollar amount.
Annual US dollars = \( 12986.64 \times 1.11 \)
\( 12986.64 \times 1.11 = 12986.64\times(1 + 0.11)=12986.64+12986.64\times0.11 = 12986.64+1428.5304=14415.1704\)

Step2: Find the monthly US dollar amount

To find the monthly amount, we divide the annual US dollar amount by 12 (since there are 12 months in a year).
Monthly US dollars = \( \frac{14415.1704}{12} \approx 1201.26\)
Looking at the options, the closest one is $1,200.

Answer:

$1,200