Answer:
$525 dollars
Step-by-step explanation:
Answer:
The Slope is 1/2
Step-by-step explanation:
Hope this helps
Ln(xy) - 2x =0
slope of the tangent line = derivative of the function
[ln(xy)]' = [2x]'
[1/(xy)] [y + xy'] = 2
y + xy' = 2(xy)
xy' = 2xy - y =y(2x-1)
y' = y(2x-1)/x
Now use x = -1 to find y and after to find y'
ln(xy) = 2x
x=-1
ln(-y) =-2
-y = e^-2
y = - e^-2
y' = [-e^-2][2(-1)-1]/(-1) = [e^-2](-2-1)= [e^-2](-3) = - 3e^-2
Answer: option 6. from the list
The inequality is:
x + $488.04 ≥ $500
And the solution is
x ≥ $11.96
<h3>How to write and solve the inequality?</h3>
First, let's define x as the amount that she needs to deposit.
Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:
$638.54 - $159.50 = $488.04
Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:
x + $488.04 ≥ $500
Solving that for x, we get:
x ≥ $500 - $488.04 = $11.96
She needs to deposit at least $11.96.
If you want to learn more about inequalities:
brainly.com/question/24372553
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Answer: 4 ties or draws
8 wins, 4 ties, 20 losses
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Explanation:
The ratio 2:1:5 is of the format wins:ties:losses where getting a draw is the same as getting a tie.
So one possibility is that they won 2 matches, tied once, and lost 5 matches. The only problem is that it doesn't fit with the statement that "The team lost 12 more matches than they won."
We could guess-and-check our way to the answer, but I think using algebra is the most efficient route.
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Let x = number of ties
2x = number of wins and 5x = number of losses
Note the ratio 2x:x:5x reduces to 2:1:5 after dividing everything by x.
Since the team lost 12 more matches than they won, this means,
loss count = (win count) + 12
5x = (2x) + 12
5x-2x = 12
3x = 12
x = 12/3
x = 4
The team tied 4 times and has 2x = 2*4 = 8 wins and 5x = 5*4 = 20 losses.
The ratio 8:4:20 reduces to 2:1:5 when you divide all parts by the GCF 4.
Also, the gap between 8 wins and 20 losses is 20-8 = 12 to help fully confirm we have the correct answer.
