Answer:
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Step-by-step explanation
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Answer:
The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.
Step-by-step explanation:
Question:Now consider the product of a nonzero rational number and an irrational number. Again, assume x =a/b , where a and b are integers and b ≠ 0. This time let y be an irrational number. If we assume the product x · y is rational, we can set the product equal to m/n, where m and n are integers and n ≠ 0. The steps for solving this equation for y are shown. Based on what we established about the classification of y and using the closure of integers, what does the equation tell you about the type of number y must be for the product to be rational? What conclusion can you now make about the result of multiplying a rational and an irrational number?
Answer:2
Answer:
$ 1,732.04
Step-by-step explanation:
A = $1,732.04
I = A - P = $725.04
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 8%/100 = 0.08 per year.
Solving our equation:
A = 1007(1 + (0.08 × 9)) = 1732.04
A = $1,732.04
The total amount accrued, principal plus interest, from simple interest on a principal of $1,007.00 at a rate of 8% per year for 9 years is $1,732.04.
