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sasho [114]
3 years ago
10

1. Does the system of linear equations shown below have a solution? Explain.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

hb      Step-by-step explanation:

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82,321 to the nearest hundred ?
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A rectangle with an area of 103 square feet is dilated by a scale factor of 3. What is the new area?
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Okay so a dilation means that you would multiply the area by your scale factor. 103 times 3 is 309. Your answer is 309
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Solve this problem please
djyliett [7]

The formula for depreciation is:

y=x(1-r)^t

Where x = Initial value,

y= Amount after depreciation.

r= Rate of depreciation,

t = time (in years)

According to given problem,

x = 1040, y= 944 and t = 12 months =1 year.

So, first step is to plug in these values in the above formula, So,

944 = 1040(1-r)^1

944 = 1040 (1 -r)

\frac{944}{1040} =1-r Divide each sides by 1040.

0.907692308 =1 - r

0.907692308 - 1 = -r Subtract 1 from each sides.

-0.092307692 = -r

So, r = 0.09 or 9%.

Now plug in 0.09 in the above equation to get the depreciation equation. So,

y = x (1- 0.09)^t

So, y = 0.91x^t

b) To find the value of the bike after 5 months,

plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.

So, y= 1040 *(0.91)^{0.41667}

y = 1040 * 0.961465659

y = 999.9242852

y = 1000 (Rounded to nearest integer).

Hence, the value of the bike after 5 months is $1000.

7 0
3 years ago
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1? On a coordinate plane, a rectan
Leviafan [203]

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Answer:

  (a)  On a coordinate plane, a rectangle has points (0, 0), (0, 1), (2, 0), (2, 1)

Step-by-step explanation:

Every point coordinate of the dilated figure will be smaller by the same factor.

Looking at the original (0, 3) coordinate, we find that possible answer choices include ...

  A (0, 1) has a scale factor of 1/3

  B (0, 4) has a scale factor greater than 1

  C (0, 1) has a scale factor of 1/3

  D (0, 2) has a scale factor of 2/3

__

Looking at the rest of the points in the answer selections, we find that the scale factors in choices C and D are not consistent from one point to another (or even within the same point). Those choices must be rejected.

In selection A, the image points are listed out of order, tending to confuse the issue. However, A is the correct choice.

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3 years ago
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