To win a certain state lottery, players must correctly choose 4 numbers (in any order) from the numbers 1 to 40. How many differ
2 answers:
Answer: B. 91,390
Step-by-step explanation:
The combination of n things taken m things at a time is given by :-
Given : The total numbers in lottery = 40
The number of correct numbers to win the lottery = 4
Now, the combination of 40 numbers taken 4 correct numbers at a time is given by :-
Hence, there are 91,390 different 4 number combinations .
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x = total amount split between Adam and Tom.
since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.
Answer:
option (c) $18,032
Step-by-step explanation:
Data provided in the question;
Amount deposited at the end of each day = $1
Interest paid = 8% compounded daily = 0.08
Daily interest rate = = 0.000219
Duration = 20 years = 20 × 365 days = 7300 days
Now,
the Future value is given as:
Future value = Part payment ×
here, r is the interest rate
n is the duration
thus,
Future value = $1 ×
or
Future value = $18033.56 ≈ $18,032
Hence, the correct answer is option (c) $18,032