A balloon rises 250 feet in first minute and then for each succeeding minute rises 70% as much as it did in the previous minute. How high will it be after 8 minutes

  785 ft

Step-by-step explanation:

The increases in height can be modeled by a geometric series with first term 250 and common ratio 0.7. The sum of n terms of such a series is given by ...

  Sn = 250(1 -0.7^n)/(1 -0.7)

Then the 8th term, the height after 8 minutes, will be ...

  S8 = 250(1 -.057648)/(0.3) ≈ 785.3 ft

After 8 minutes, the balloon will be about 785 feet high.

___

If it continues like that, its ultimate height will be about 833.3 feet.

i = 2 / - 5

step-by-step explanation:

evaluation of ( 2 - 4 ) ( p + q ) when p = 2 and q = 5 i, by putting values of p and q,                                                                    

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