The Gades Foundation and HBM Corporation are eager to donate generously to their favorite charities.
The Gades Foundation donated \$250$250dollar sign, 250 in the first month, and each month afterward their cumulative donation total increases by \$100$100dollar sign, 100.
The HBM Corporation donated \$64$64dollar sign, 64 in the first month, and each month afterward their cumulative donation total increases by 75\%75%75, percent.
They started making donations at the same time, and they both make their monthly donations at the beginning of each month.
What is the first month in which HBM Corporation's cumulative donation total exceeds the Gades Foundations' cumulative total?

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

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)

just get this app called photo math it should be able to do those