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Multiple Choice
If you take out a loan of \$678 at an annual interest rate of 10.5% for one year, how much interest will you pay at the end of the year (assuming simple interest)?
A
\$68.50
B
\$67.80
C
\$71.19
D
\$71.29
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Verified step by step guidance
1
Step 1: Understand the formula for calculating simple interest, which is I = P × r × t, where I is the interest, P is the principal amount, r is the annual interest rate (expressed as a decimal), and t is the time in years.
Step 2: Identify the values given in the problem: Principal (P) = \$678, Annual Interest Rate (r) = 10.5% (convert this to decimal form by dividing by 100, so r = 0.105), and Time (t) = 1 year.
Step 3: Substitute the values into the formula: I = 678 × 0.105 × 1.
Step 4: Perform the multiplication step-by-step: First, multiply the principal (678) by the interest rate (0.105), and then multiply the result by the time (1 year).
Step 5: The result of the calculation will give you the total interest paid at the end of the year. Ensure the units are in dollars ($) since the principal and interest rate are expressed in monetary terms.