Final answer:
To find Kensley's ending balance, we can use the formula for compound interest. Kensley's ending balance at the end of 2 years is approximately $19,705.21.
Step-by-step explanation:
To find Kensley's ending balance at the end of 2 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the ending balance, P is the principal (initial deposit), r is the interest rate (in decimal form), n is the number of times the interest is compounded per year, and t is the number of years.
In this case, Kensley deposited $18,000 with an interest rate of 4.8% (or 0.048), compounded weekly. The number of times the interest is compounded per year is 52, since there are 52 weeks in a year.
Using these values in the formula, we get:
A = 18000(1 + 0.048/52)^(52*2)
A = 18000(1 + 0.000923)^104
A = 18000(1.000923)^104
A ≈ 19705.21
Therefore, Kensley's ending balance at the end of the 2 years is approximately $19,705.21.