Final answer:
Using the compound interest formula, A = P (1 + r/n)nt, the accumulated value of a $100 deposit after 6 years with an annual 3% compound interest rate is found to be $119.41, which doesn't match any of the given options in the question.
Step-by-step explanation:
The question asks for the accumulated value of a $100 deposit in a savings account after 6 years with an annual compound interest rate of 3%. To find the accumulated value, we use the formula for compound interest, which is A = P(1 + r/n)nt, 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 (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.
In Yuri's case, P is $100, r is 0.03 (since 3% = 0.03), n is 1 (because the interest is compounded annually), and t is 6 years. Therefore, the formula becomes A = $100(1 + 0.03/1)1*6, which simplifies to A = $100(1.03)6.
Calculating this value gives us A = $100 * 1.036 = $100 * 1.194052, which equals $119.41. This means that the accumulated value of the deposit after 6 years is $119.41, which is not one of the options provided (a) $120.53 b) $123.60 c) $130.08 d) $135.00).