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Sophie [7]
4 years ago
12

Martina earns $480 per week plus 15% commission on all of her sales. which shows the amount she earns each week as a function of

her total sales, X?

Mathematics
1 answer:
asambeis [7]4 years ago
5 0

Answer:

The answer is B

Step-by-step explanation:

You have to add the 480 dollars which eliminates A and C. Then, when finding commission you make the commission rate into decimal form which eliminates D. Your only option left is B

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N is a positive integer
Murrr4er [49]

Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

n(n-1) = 2k(2k-1) = 2m

where m = k(2k-1) is an integer

The result 2m is even showing that n(n-1) is even

------------

Let's say that n is odd this time. That means n = 2k+1 for some integer k

And also n-1 = 2k+1-1 = 2k showing n-1 is even

Now multiply n and n-1

n(n-1) = (2k+1)(2k) = 2k(2k+1) = 2m

where m = k(2k+1) is an integer

We've shown that n(n-1) is even here as well.

------------

So overall, n(n-1) is even regardless if n is even or if n is odd.

Either n or n-1 will be even. If you multiply an even number with any number, the result will be even.

=======================================================

Part (2)

n is some positive integer

2n is always even since 2 is a factor of 2n

2n+1 is always odd because we're adding 1 to an even number. The sequence of integers goes even,odd,even,odd, etc and it does this forever.

-----------

Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

6 0
3 years ago
Does y=2x-4 represent a linear function?
Tanya [424]

Answer:

Yes

Step-by-step explanation:

This equation is in slope-intercept form, y=mx+b. If graphed, it would be a line.

Hope this helps!

5 0
3 years ago
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In the diagram Shown a 2 foot wide flower border surrounds the heart shaped pond.What is the area of the border?
Dimas [21]
This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares: 

Semi Circle Area Formula: \pi  r^{2} ÷ 2
Square Area Formula: length x width 

Pi = 3.14 
Radius = Half of the diameter, in this case 6 

After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border. 
8 0
4 years ago
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Each of the four sides of a swimming pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it
iragen [17]

The volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m^3. 

So the answer is D. 405 cubic meters

5 0
3 years ago
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Solve the equation<br> 6.7x = 5.2x + 12.3
Anna [14]

Answer:

x = 8.2

Step-by-step explanation:

6.7x = 5.2x + 12.3

6.7x - 5.2x = 12.3

1.5x = 12.3

x = 8.2 =  \frac{41}{5}  = 8 \frac{1}{5}

7 0
3 years ago
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