4/52= 0.07692 so it would be C. 0.077
The answer is 45 because 2.50 times 18=45
We are given the following information
Investment = $5200
Annual interest rate = 4.2% = 0.042
Final amount = $16,500
Number of years = 27.7 years
Number of compoudings = quartely = 4
The student uses the following model

The general formula for compound interest is given by

As you can see, the number of compoundings is incorrect (3 vs 4)
The interest rate is also incorrect.
Let us substitute the given values into the above formula

Therefore, the final amount is approximately $16,543.5
(The answer is 12.082.) Juan used 12.082 meters of rope.