1) Find the present value of 10 semi-annual payments of Php2,000.00 each if the first payment is due at the end of 3 years and money is worth 8% compounded semi-annually.
2) A deferred annuity is purchased that will pay Php 5,000.00 per quarter for 10 years after being deferred for 5 years and with
interest rate of 6% compounded quarterly. What is the present value of the annuity?
Solution for No. 1:
Solution for No.2

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

true

step-by-step explanation:

it is more then likely a review to you prepare for an upcomign test or quiz

given inequality is : 1200x < 50000

the correct word problem will be : a) an export company needs to purchase containers to ship cargo overseas, and the expense must be less than $50,000. if 41 containers are purchased, what is the cost of each container?  

here, lets suppose the rate of each container be 1200 and x is the number of containers purchased which is 41.

so when 41 containers are purchased, it means the cost will be which is less than 50000.