The product of two rational numbers is always rational because (ac/bd) is the ratio of two integers, making it a rational number.
We need to prove that the product of two rational numbers is always rational. A rational number is a number that can be stated as the quotient or fraction of two integers : a numerator and a non-zero denominator.
Let us consider two rational numbers, a/b and c/d. The variables "a", "b", "c", and "d" all represent integers. The denominators "b" and "d" are non-zero. Let the product of these two rational numbers be represented by "P".
P = (a/b)×(c/d)
P = (a×c)/(b×d)
The numerator is again an integer. The denominator is also a non-zero integer. Hence, the product is a rational number.
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Answer:
C) 12y 8m
Step-by-step explanation:
The amount of principal P at compound monthly at interest rate r per year is given by ...
A = P(1 +r/12)^(12t) . . . . after t years
Here, we want to find t, so ...
A/P = (1 +r/12)^(12t)
log(A/P) = (12t)·log(1 +r/12)
t = log(A/P)/(12·log(1 +r/12))
Filling in the given values, we find t to be ...
t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months
It will take about 12 years 8 months to double the money.
Answer:
x = -2/3, 0, 3/4
Step-by-step explanation:
The zeros of the polynomial are the solutions or roots or x-intercepts of the function. To find them, use the zero product property to solve for x. Use the property by setting each factor equal to 0.
x = 0 4x-3=0 3x+2 = 0
x = 3/4 x = -2/3
I think it is in three(3) day
The last one is the correct answer