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stich3 [128]
3 years ago
9

A rectangle has a length of 38 meters less than 8 times its width. If the area of the rectangle is 4050 square meters, find the

length of the rectangle.
Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Let

  • width be x
  • Length=8x-38
  • Area=4050m^2

We know

\boxed{\sf Area =Length\times Width}

\\ \sf\longmapsto x(8x-38)=4050

\\ \sf\longmapsto 8x^2-38x=4050

\\ \sf\longmapsto 8x^2-38x-4050=0

  • By solving

\\ \sf\longmapsto x=\dfrac{81}{4}\:or\:x=25

  • Take x as 25

\\ \sf\longmapsto Length=8x-38=8(25)-38=200-38=162m

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Answer:

D. C = 0.59x+ 275

Step-by-step explanation:

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2 years ago
The savings account offering which of these APRs and compounding periods
Ann [662]

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula= (1+\frac{r}{n})^n -1

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly 4.0784\%  

n = 12

\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403

In choice b:

When compounded is quarterly4.0792\%

n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102

In choice c:

Whenn compounded is daily 4.0730 \%

n = 365\\\\\to (1+ \frac{0.040730}{12})^{365}  = 3.328-1 = 2.328

In choice d:

When compounded is semiannually4.0798\%

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7 0
2 years ago
Read 2 more answers
L.F. Richardson proposed a model to describe the spread of war fever. His proposal: If y(t) is the percent of the population adv
Lena [83]

Answer:

y'(t)=ky(t)(100-y(t))

Step-by-step explanation:

The rate of change of y(t) at any time is the derivative of y with respect to time y, y'(t)

If y(t) is the percent of the population advocating war at time t

then 100-y(t)  is the percent of the population not advocating war

The product of the percentage of the population advocating war and the percentage not advocating war would be

y(t)(100-y(t))

If the rate of change of y(t) at any time is proportional to the product of the percentage of the population advocating war and the percentage not advocating war, then

y'(t)=ky(t)(100-y(t))

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8 0
3 years ago
Mr. Anderson wrote (7x9) 103 on the board. What is the value of that expression
RUDIKE [14]

Answer:

6,489

Step-by-step explanation:

first you would multiply 7 and 9, which would be 63

7 x 9 = 63

then you would multiply 63 by 103 since they are being multiplied

63 x 103 = 6,489


8 0
3 years ago
Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

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(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

3 0
3 years ago
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