10. in october 2018, someone in south carolina won the largest lottery of nearly $1.6 billion. if the winner takes the payout option instead of a lump sum, the yearly payments are set so that you get an additional 5% more each year until you reach your total winnings. the first payment would have been $24,082,304. what would the payment be in the second year? what about the year after that?

Step-by-step explanation:

When 5% of a number is added to the number, the result is 1.05 times the original number: 1 + .05 = 1.05.

Each year, the payment is the previous payment multiplied by 1.05.

The second year's payment is ...

  $24,082,304.00 × 1.05 = $25,286,419.20

The third year's payment is ...

  $25,286,419.20 × 1.05 = $26,550,740.16

Comment on this payment schedule

The total will be 1.6 billion after the 30th payment. That payment will be about $99,126,029.

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.

step-by-step explanation:

given that ab is divided into equal parts as

ac, cd, de, ef, fg, gh, hi, ib.

from this we find that f is the midpoint of ab.

so using mid point formula we find

f = (3,7)

similarly considering fb, we get

h = mid point of fb = ((6,6) and g, mid point of fh is

g = (9/2, 13/2)

i is mid point of hb

so i =(15/2,11/2)