1 Wen takes a job with a starting salary of $100,000 for the first year. She earns a 3% increase each year. What does
S5 represent?
S5 represents the total amount of money that Wen earns over the last four years.
O Ss represents the total amount of money that Wen earns over the first five years.
S5 represents the total of only the yearly increases that Wen earns over the first five years.
O S5 represents the amount of money that Wen will earn in the fifth year..

B.S5 represents the total amount of money that Wen earns over the first five years.

Step-by-step explanation:

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

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: