Aida owns a brick house in the country worth $95,000, and the contents of
the house are valued at $15,000. Use the table below to calculate her annual
property insurance premium.
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
City 0.39
0.5 0.54 0.550 65 0.66 0.76
Suburb 0.450.520.56 0.63 0.72 0.74 0.830.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
0.43
O A. $673.50
O B. $150.00
O C. $978.65
O D. $950.00

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).