Davis puts $5,000 each year in an account that earns 5% annual interest, compounded annually. his brother mike puts $5,000 each year in a safe in his bedroom. after the first 10 years of doing this, how much more money does davis have than mike? round your answer to the nearest dollar. a) $20,524 b) $2,500 c) $31,445 d) $8,144

An engineer scale model shows a building that is 3 inches tall. if the scale is 1 inch = 600 feet, how tall is the actual building?

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).

Which of the following is a cost homeowners insurance does not protect? a. the cost of repair or replacement of a home lost in a natural disaster. b. additional living expenses required while your home is repaired after a disaster. c. replacement costs for all contents in your home, including high cost electronics. d. the cost of medical expenses incurred by somebody getting injured on your property. select the best answer from the choices provided