Final answer:
Using the simple interest formula, the balance of Tamara's account after 5 years with an initial deposit of $1750 at an annual interest rate of 11% is calculated to be $2712.50. However, this result does not match any of the options provided, suggesting an error in the question or in the interpreted equation.
Step-by-step explanation:
To calculate the balance of Tamara's savings account after 5 years with simple interest, you can use the formula for simple interest: (A = P(1 + rt)), where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (in decimal).
- t is the time the money is invested for, in years.
In this case, Tamara's initial deposit P is $1750, the annual interest rate r is 11% or 0.11, and the time t is 5 years.
Plugging these values into the formula gives us:
(A = 1750 * (1 + 0.11 * 5))
(A = 1750 * (1 + 0.55))
(A = 1750 * 1.55)
(A = $2712.50)
However, since the given choices do not include this result, it's possible that there might be a mistake in the equation presented. If we consider the equation a = 0.11t * 1750, which seems to suggest a different calculation method possibly omitting the initial principal, we can calculate the interest earned and add it to the principal to find the correct balance:
Interest earned after 5 years: (Interest = 0.11 * 5 * 1750)
Interest = ($962.50)
Then we add the interest to the initial deposit:
(Balance = Principal + Interest)
(Balance = $1750 + $962.50)
(Balance = $2712.50)
Thus, the corrected equation provides the balance after 5 years, which is $2712.50, not one of the options provided. Therefore, there might be an error in the initial question or the provided equation.