Final answer:
The time period t for the interest accrued can be calculated by rearranging the formula i = p × r × t to solve for t. By substituting the given values into t = $350.40 / ($1,200 × 0.0365), the solution is t=8.00 hours. The correct answer is option a. t=8.00 hours
Step-by-step explanation:
The student's question relates to finding the value of t when given the interest (i), principal amount (p), and the interest rate (r). Here, i is the interest accrued, p is the principal amount invested or loaned, and r is the rate at which the interest accrues per period. The formula used to find the interest accrued is i = p × r × t, where t is the time period for which the money is invested or borrowed. To find t, we rearrange the formula as t = i / (p × r).
Given i is $350.40, p is $1,200, and r is 3.65% (or 0.0365 as a decimal), we substitute these values to solve for t.
First, we convert the percentage rate to decimal form: r = 3.65% = 0.0365.
Then we solve for t:
t = i / (p × r)
t = $350.40 / ($1,200 × 0.0365)
t = $350.40 / $43.80
t = 8
Therefore, the correct answer is t=8.00 hours, which means option a.