Let's call 'it' x. 1/2 is equal to one third of x, so we could say that 1/3x = 1/2
Now we just have a simple equation to solve:
1/3x = 1/2
x = (1/2) / (1/3)
Dividing by a rational number (such as 1/3, which is expressed in fraction form) is the same as multiplying by its reciprocal (the reciprocal of a fraction is itself when the numerator and denominator have been swapped). Therefore
x = (1/2) / (1/3) = (1/2) * 3 = 3/2 = 1.5
To check this answer, test the statement. Half is a third of x, where x=1.5:
1.5 / 3 = 0.5 = 1/2
9514 1404 393
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.
Actually,
I think the question should be, "In what range(s) of x-values must
there be a root of the POLYNOMIAL?"
Unless you are working with some real strange maths, polynomials are
smooth and continuous. If you drew a smooth and continuous line through
the points in the graph, where would the line have to cross the x-axis?
Make two equations. Then solve. Let t and b represent the numbers of pages in the Tax Code and Bible, respectively.
t - b = 18,528 . . . . . tax code exceeds Bible by 18,528 pages
t + b = 21,472 . . . . .together, they total 21,472 pages
Add the two equations.
2t = 40,000
t = 20,000
The number of pages in the tax code is 20,000.
