Final answer:
In this case, Jose earns $157.97 in interest when he deposits $3,550 for 5 years at a 1.2% annual interest rate compounded daily.
Step-by-step explanation:
To calculate the amount of interest Jose earns, we can use the compound interest formula: A = P(1 + r/n)^(nt),
( where A is the total future amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years. In this case, Jose's principal amount is $3,550, the annual interest rate is 1.2%, and the interest is compounded daily for 5 years ).
Plugging in the values into the compound interest formula:
A = $3,550(1 + 0.012/365)^(365*5)
Calculating this out, the total future amount (A) is approximately $3,707.97.
To find the interest earned, we subtract the principal amount from the total future amount:
Interest = A - P = $3,707.97 - $3,550
= $157.97.
Therefore, Jose earns $157.97 in interest.