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schepotkina [342]
3 years ago
5

An accountant makes 57,000 per year. what is the monthly salary

Mathematics
1 answer:
denis23 [38]3 years ago
8 0
57000 / 12 = $4750 monthly (before taxes)
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Suppose each license plate in a certain state has three letters followed by three digits. The letters and and the digits , , and
exis [7]

Answer:

17576000 different possible license plates

Step-by-step explanation:

Note that in the question, repetition is allowed for both the letters and digits.

For the first letter, there are 26  choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.

Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.

For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.

Therefore, this gives us 10x10x10 =1000 possible numbers.

The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.

7 0
3 years ago
Rosie wrote this expression to describe the amount she paid for each yoga class. 30 / m Which situation could be described by th
Ede4ka [16]
The answer to your question is B
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3 years ago
Astronauts who traveled to the moon were able to float slightly as they walked along its surface. Why wee the astronauts able to
Alex_Xolod [135]

Answer:

C.

Step-by-step explanation:

the farther you get from Earth, the less the gravitational force i, so if your in space,<em><u> </u></em><em><u>you will have more weight next to earth than you will next to the moon</u></em><em><u>.</u></em>

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3 years ago
find the equations of the tangents to the curve y= x(x-1)(x+2) at the points where the curve cuts the x axis
antoniya [11.8K]

First of all, we compute the points of interest, i.e. the points where the curve cuts the x axis: since the expression is already factored, we have

x(x-1)(x+2) = 0 \iff x=0\ \lor\ x-1=0\ \lor\ x+2=0

Which means that the roots are

x=0\ \lor\ x=1\ \lor\ x=-2

Next, we can expand the function definition:

y = x(x-1)(x+2) = x^3 + x^2 - 2x

In this form, it is much easier to compute the derivative:

y' = 3x^2+2x-2

If we evaluate the derivative in the points of interest, we have

y'(-2) = 6,\quad y'(0)=-2,\quad y'(1)=3

This means that we are looking for the equations of three lines, of which we know a point and the slope. The equation

y-y_0=m(x-x_0)

is what we need. The three lines are:

y-0=6(x+2) \iff y = 6x+12  This is the tangent at x = -2

y-0=-2(x-0) \iff y = -2x  This is the tangent at x = 0

y-0=3(x-1) \iff y = 3x-3  This is the tangent at x = 1

7 0
3 years ago
Is Triangle ACE congruent with SPY? Explain your reasoning.
gavmur [86]
ACE IS THE CORRECT ANSWER
This is because
The triangle a c and e
7 0
3 years ago
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