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Given i = $350.40, p = $1,200, and r=3.65%, solve for t.

a. t=8.00 hours
b. t=10.25 hours
c. t=5.50 hours
d. t=12.00 hours

User Zhanger
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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.

User Quosoo
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