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Fittoniya [83]
3 years ago
8

Find the length of a rectangular lot with a perimeter of 50 feet if the length is five feet more than the width.

Mathematics
2 answers:
galina1969 [7]3 years ago
8 0

Answer:

Width = 10 feet

Length = 15 feet

Step-by-step explanation:

Let the width = x feet

Length = x + 5

Perimeter = 50 feet

2 * ( length  + width) = 50

2 * (x+5 + x) = 50

       2x + 5 = 50/2

       2x + 5 = 25

               2x = 25 - 5 = 20

                 x = 20/2 = 10

Width = 10 feet

Length = 10 + 5 = 15 feet

OleMash [197]3 years ago
5 0

Answer:

The length of a rectangular lot is 15 feet

Step-by-step explanation:

Let the width of rectangle be x

We are given that the length is five feet more than the width.

Length of rectangle = x+5

Perimeter of rectangle =2(l+b)=2(x+5+x)=2(2x+5)=4x+10

We are given that perimeter is 50 feet

So,4x+10=50

4x=40

x=10

So, Length of rectangle = x+5=10+5=15

Hence the length of a rectangular lot is 15 feet

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AURORKA [14]

ratio of the diagonal to the side of the rectangle is 17/8 or 17:8

Step-by-step explanation:

Length of Diagonal = 34 inches

Length of side = 16 inches

Base= 30 inches

We need to find the ratio of the diagonal to the side of the rectangle.

ratio of the diagonal to the side of the rectangle = \frac{length of diagonal}{length of side}

Putting values:

Ratio=\frac{34}{16} \\Simplifying:\\Ratio=\frac{17}{8}

So, ratio of the diagonal to the side of the rectangle is 17/8 or 17:8

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3 years ago
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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $1790 and his st
stiv31 [10]

Answer:

20.7%

Step-by-step explanation:

Amount of stock increased in Company A = 20% of 1790

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Investor's stock in company A this year = 1790 + 358 = $ 2148

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Investor's stock in company B this year = 1000 + 220 = $ 1220

Total amount in investor's stock account  = 2148 + 1220 = $ 3368

Increased amount = 3368 - 2790 = $ 578

Increase percentage = \frac{578}{2790}*100 = 20.71

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Use formulas to find the lateral area and surface area of the given prism. Round
tatuchka [14]

Answer:

136 m²: 188 m²

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo

My answer:

Given the information:

  • The height: 4m
  • The lenght: 13m
  • The width 4m

The lateral area:

As we know, the  lateral area can be  calculated by the following formula:

= the perimeter of the base* the height

= (13 + 4 + 13 + 4)*4

= 136 m²

The surface area:

As we know, the  lateral area can be  calculated by the following formula:

= The lateral area +  thhe base area + the top area

= 136  +  13*4 + 13*4

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3 0
3 years ago
Michael obtains a 30/8 balloon mortgage to finance $425,500 at 6.55%. How much principal and interest will he have already paid
STALIN [3.7K]

Answer:

$259 532  

Step-by-step explanation:

Step 1. Calculate the monthly payments on a 30-year loan.

The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate

of r % is

P = A(\frac{r}{1-(1+r)^{-n}})

<em>Data: </em>

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A = $425 500

n = 360 mo

<em>Calculation: </em>

P = 425 500(\frac{0.005 4853}{1-(1+0.005 4583)^{-360}})

P = \frac{2332.22}{{1- {1.005 4583}}^{-360}}

P = \frac{2332.52}{1 – 0.140907}

P = \frac{2332.52}{0.859 093}

P = $2703.46

B. Total Payment (T) after 8 years

T = nP

T = 96 × 2703.46

T = $259 532

Michael will have paid $259 532 at the end of eight years.

4 0
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