What is the product? (5r − 4)(r2 − 6r + 4)
a. 5r3 − 34r2 + 44r − 16
b. 5r3 − 4r2 + 14r − 16
c. 5r3 − 6r − 16
d. 5r3 + 10r − 16

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: