Alottery offers two options for the prize.

option a: $1000 a week for life.
option b: $1 000 000 in one lump sum.

if you choose option b, you have the opportunity to place the winnings into an investment that also makes regular payments, at a rate of 3%/a, compounded weekly. the annuity will pay out a specific amount weekly based on how long you want the annuity to last.

a. which option would the winner choose if you expect to live for another:
i. 20 years?
ii. 50 years?
b. use technology to determine the range of life expectancies when each option is preferred. show your work.

P= $1400,300 r = 7 1/2% t = 4 what is i ? $4.29 $429.00 $4290.00

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).

Polygon abcd is a parallelogram, and m? abc = 127°. the length of is 10 units, and the length of is 5 units. the perimeter of the parallelogram is units, and m? bcd is °