A bank deposit paying simple interest at the rate of 8%/year grew to a sum of $1300 in 6 months. Find the principal. (Round your answer to the nearest cent.)

$1,250

Step-by-step explanation:

The rate is 8%

= 8/100

= 0.08

Time is 6 months

= 1/2 year

Therefore the principal can be calculated as follows

Principal × (1+0.08(1/2) = 1300

Principal × 1+ 0.04 = 1300

Principal × 1.04= 1300

Principal= 1300/1.04

Principal = $1,250

Hence the principal is $1,250

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

lol 2

step-by-step explanation: