The answer is 12.24745 or 5/6
Just as an example, three consecutive integers might be 4,5,6.
If x is the least of these (4 in our example), then the other two integers would be x+1, and x+2.
Then the sum of our three integers is x + (x+1) + (x+2).
Addition is commutative so we can switch any two terms, and it is also associative so we can regroup any terms. This lets is rearrange things with all the "x" together and all the numbers together like this:
(x+x+x) + (1+2) OR 3x + 3
According to the problem, the sum is 126, so 3x+3 = 126.
3x = 123
x = 41 (which is the smallest consecutive integer)
Check our answer: 41 + 42 + 43 = 126.
Answer:
exp prob is less than theoret prob
Step-by-step explanation:
experimental 8 out of 20 8/20
theoretical 10 out of 20 10/20
Answer:
5260000
Step-by-step explanation:
Answer:
18. compound interest
19. simple interest
20. simple interest
Step-by-step explanation:
For these problems, the initial balance is irrelevant. All that matters is the multiplier of that balance. For simple interest at rate r for t years, the multiplier is ...
simple interest multiplier = (1 +rt)
For interest compounded annually, the multiplier of the initial balance is ...
compound interest multiplier = (1 +r)^t
A spreadsheet can do the computations for you.
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As an example of the computations involved, consider problem 19:
simple interest multiplier = 1 + 0.13·6 = 1.78
compound interest multiplier = 1.10^6 = 1.771561
The latter is less than the former, so the simple interest account will have the (slightly) greater balance at the end of 6 years.