Base on my calculations, the answer is not in the choices given. First, we have to acknowledge that the interest rate given is not the effective interest rate instead it is called the nominal interest rate therefore we have to convert it first to an effective interest rate. We use the following formula:
Effective Interest rate = [[1 + (r/m)]^m] - 1 where r is the nominal interest rate and m is the number of compounding times
For this case, m is equal to 2 since it is compounded semianually.
Effective Interest rate = [[1 + (.12/2)]^2] - 1 = .1236
We then use the calculated effective interest rate to the formula for the Compound Interest Rate Formula.
Future Value = Present Value (1 + Effective interest rate)^(no. of years)Future Value = 3000 (1 + .1236)^( 3) = 4255.56 dollars
The answer is 64 fluid ounces
Answer:b
Step-by-step explanation: i thinks its b
Answer:
(7, 24, 26)
Step-by-step explanation:
A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.
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<em>Additional comment</em>
For an odd integer n, a triple can be formed as ...
(n, (n²-1)/2, (n²+1)/2)
That is, the following will be Pythagorean triples.
- (3, 4, 5)
- (5, 12, 13)
- (7, 24, 25)
- (9, 40, 41)
- (11, 60, 61)
Another series involves even numbers and numbers separated by 2:
(2n, n²-1, n²+1)
- (8, 15, 17)
- (12, 35, 37)
- (16, 63, 65)
In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.
It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.
Y = mx + c therefore
m = 1
c = -2
