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Marina86 [1]
3 years ago
14

a 50-meter path surrounds a rectangular garden. The width of the garden is five meters less than its length. Find the length and

width.
Mathematics
1 answer:
rewona [7]3 years ago
4 0
Suppose length is X -----> [1]
so the width is X - 5 -----> [2]

perimeter of rectangle = 2 ( length + width )
50 = 2 ( X + X - 5 )
50 = 2 ( 2X - 5 )
50 = 4X - 10
50 + 10 = 4X
60 = 4X
60/4 = X
15 = X

subsitute in [1] and [2]
length = 15 meters
width = 15 - 5 = 10 meters
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Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
pogonyaev

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

3 0
2 years ago
Select the correct answer from each drop-down menu.
kompoz [17]

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Step-by-step explanation:

Since we have given that

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Range of A = Highest - Lowest

Range of A =  55  -  12

Range of A = 43

Set B:{44, 13, 24, 12, 56}

Range of B = Highest - Lowest

Range of B =    56      -     12

Range of B =       44

Since Range of B is more than range of A.

Hence, B has greater spread than A.

6 0
3 years ago
Can someone answer this for me pls and thank you
kherson [118]

x in terms of b:

-2(bx - 5) = 16

-2bx + 10 = 16

-2bx =  6

    x = 6 / -2b

    x = -3/b

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

when b = 3 then

-2(3x - 5) = 16

-6x + 10 = 16

-6x =  6

  x = -1

Answer

The value of x in terms of b is -3/b

The value of x when b is 3 is -1

4 0
3 years ago
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Morgarella [4.7K]

Answer:

I think its 3752 but i might be wrong not sure

Step-by-step explanation:

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5 0
3 years ago
Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is
olga55 [171]
Train A weighs 181 tons and train B weighs 70 tons.
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