you have savings of $100. you plan to save another $100 at the beginning of each year for 5 years. The account pays annual intrest of 8 percent, coumpounded quarterly. the ending balance (pincipal plus interest) will be $ at the end of 5 years?

$638.10

Step-by-step explanation:

= $100 (1 + 2/100)^4

= $100 (1 + 0.02)^4  

= $100* 1.0824

= $108.24

For the second year = $100+ $108.24= $208.24

= $ 208.24 * 1.0824

= $225.41

For the third year = $100 + $ 225.41 = $325.41

= $325.41 * 1.0824

= $352.23

For the fourth year = $100 + $ $352.23 = $452.23

= $452.23 * 1.0824

= $ 489.51

For the fifth year =  $100+ $489.51 = $589.51

= $589.51 * 1.0824

= $ 638.10

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

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