Answer:
see the explanation
Step-by-step explanation:
we have
0.888...
This is a <u>repeating decimal</u> (Is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending)
Convert to fraction number
Let
x=0.888...
10x=8.888...
Subtract 0.888... from 8.888... to remove the decimal
10x-x=8.888...-0.888...
9x=8
Solve for x
x=8/9
therefore
Mike fraction is incorrect
because 4/5=0.8
0.8 is a <u>terminating decimal </u>(It's a decimal with a finite number of digits)
Mike's mistake was considering the number as a terminating decimal instead of a repeating decimal
Beth is correct
because
If you divide 8/9
the result is 0.8888888...
The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.
<h3>What is the equivalent expression?</h3>
Based on the expression given, Carmen's investment is compounded monthly.
The formula for calculating future value:
FV = P (1 + r)^nm
- FV = Future value
- P = Present value
- R = interest rate
- m = number of compounding
- N = number of years
5000(1.0005)^12t
= 5000(1.0005^12)^t
50002.5^12t
Please find attached the complete question.To learn more about future value, please check: brainly.com/question/18760477
The solutions will lie in all the four quadrants.
y≤2/7x+1
We have the following inequality:
y=2/7x+1
If x=0
y=2/7(0) +1
y=1
If y=0
x=-3.5
So the line passes through the points:
(0,1) and (-3.5,0)
To find the shaded region, let us take a point, namely, the origin and test it in the inequality:
y≤ 2/7x +1
0≤ 2/7(0) +1
0≤ 1 which is true
Since this is true, then the shaded region includes this point. This is shown below and as you can see the solutions exist in all four quadrants.
To learn more about Inequalities, visit brainly.com/question/12890742
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Answer:
5.5
Step-by-step explanation: