Tom has deposited $500 in an account which earns 2% interest each year. which expression correctly shows the total value of his account after 3 years?

a) 500 + 0.02 + 0.02 + 0.02
b) 500 + 0.02[500 + 0.02(500 + 0.02*500)]
c) 500 + 0.02*0.02*0.02(500)
d) 500 + 3(0.02)500

step-by-step explanation:

step-by-step explanation:

sry but any answer choices

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