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Arisa [49]
3 years ago
8

The length of a rectangle is three times its width. if the area of the rectangle is 300 yd2 , find its perimeter.

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0
Let, width = x
Length = 3x

It is given that, 3x * x = 300
3x² = 300
x² = 300 / 3
x = √100
x = 10
& 3x = 3(10) = 30

Perimeter = 2(l + w)
P = 2(10 + 30)
P = 2(40) = 80

In short, Your Answer would be 80 Yards

Hope this helps!
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Answer:

  $13,287.70

Step-by-step explanation:

The future value of the stock account is computed as the sum of a geometric series. This computation assumes that the annual yield is compounded monthly.

  FV = p((1+r/12)^(12n) -1)/(r/12)

For the stock account, p=850, r=0.10, n=30, so the future values is ...

  FV = 850((1+.10/12)^360-1)/(.10/12)) = 1,921,414.74

For the bond account, p=350, r=.06, n=30, so the future value is ...

  FV = 350((1+.06/12)^360 -1)/(.06/12) = 351,580.26

The combined account value at the end of 30 years is ...

  $1,921,414.74 + 351,580.26 = $2,272,995.00

_____

The monthly payment that can be made over a 25 year period is given by the amortization formula.

  A = P(r/12)/(1 -(1 +r/12)^(-12n))

  = $2,272,995.00(.05/12)/(1 -(1+.05/12)^-300) = $13,287.70

You can withdraw $13,287.70 each month assuming a 25-year withdrawal period.

6 0
4 years ago
...........................
Arisa [49]

Answer:

B) b√a

Step-by-step explanation:

b√a

8 0
3 years ago
3 divided by 1 quarter
Amiraneli [1.4K]
3 divided by 1 quarter is equal to 12 because 
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7 0
3 years ago
What is the equation of the line with a slope of 3/4 that goes through the point (4, 1) in slope-intercept form?
Svetach [21]

Answer:

y=\frac{3}{4}x+-2

Step-by-step explanation:

We do not have enough information for slope intercept form. But we can use the point-slope formula to find the information. The formula is y -y_{1} =m(x -x_{1}) where we substitute a point (x,y) for (x_{1},y_{1}).  

We have m=3/4 and (4, 1). We input m and x_{1} =4\\y_{1}=1.

y-1=\frac{3}{4} (x-4)

We now simplify the parenthesis and solve for y.

y-1=\frac{3}{4} (x-4)\\y-1=\frac{3}{4}x+\frac{3}{4} (-4)

We convert -4 into a fraction with 1 as the denominator.

y-1=\frac{3}{4}x+\frac{3}{4} (\frac{-4}{1} )\\y-1=\frac{3}{4}x+\frac{-12}{4}\\y-1=\frac{3}{4}x+-3

We add 1 to both sides to isolate y,

y-1+1=\frac{3}{4}x+-3+1\\y=\frac{3}{4}x+-2

This is slope intercept form. The line as slope 3/4 and y-intercept (0,2) or b=2.

4 0
3 years ago
Long division (3a²-8a? +19a – 7) + (3a-2)
myrzilka [38]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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