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Brrunno [24]
3 years ago
12

The amount in an account with a beginning balance of 3000 and interest compounded continuously at an annual rate of 5.5% can be

modeled by the equation A=3000^5.5t

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

Step-by-step explanation:false

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The coordinate plane shows the floor plan for a swimming pool. What is the area of the pool's border?
LekaFEV [45]

Answer:

  border area: 100 m²

Step-by-step explanation:

The area of the pool border will be the overall area of the pool and boder, less the area of the pool. The area of each rectangle is the product of its length and width. The length and width of each can be found using the Pythagorean theorem.

__

<h3>Pythagorean Triple</h3>

The triple (3, 4, 5) is called a Pythagorean triple, because ...

  3² +4² = 5²

That is, a triangle with sides of lengths 3, 4, and 5 will be a right triangle with a hypotenuse of length 5.

__

<h3>Application to Pool/Border Dimensions</h3>

We notice that the sides of the rectangles in the figure have a rise/run of ±3/4 or ±4/3. In each case, the side of the rectangle is the hypotenuse of a triangle with dimensions a multiple of 3 or 4 meters. Hence the hypotenuse (rectangle side length) is the corresponding multiple of 5 meters. The attachment illustrates this point, showing a triangle with sides that are (6, 8, 10), 2 times the basic triple.

The pool is 5 m by 10 m, for an area of ...

  A = LW = (10 m)(5 m) = 50 m²

The overall area is 10 m by 15 m, for an area of ...

  A = (15 m)(10 m) = 150 m²

__

<h3>Border Area</h3>

The pool's border is the difference between the overall area and the pool area:

  150 m² -50 m² = 100 m² . . . . area of pool's border

7 0
2 years ago
How to solve, -1.2x - 6.5x less than or equal to 2.3x + 5
Hitman42 [59]

-1.2x - 6.5x ≤ 2.3x + 5

-7.7x ≤ 2.3x + 5

≤ 10x + 5

-5 ≤ 10x

-1/2 ≤ x

x ≥ -1/2

4 0
2 years ago
Complete each ordered pair so that it is a solution of the given linear equation. x - 3y=4;(.-3), (-11, ) The first ordered pair
AURORKA [14]

Answer:

Step-by-step explanation:

x - 3y = 4

x - 3(-3) = 4

x + 9 = 4

x = -5

(-5, -3)

-11 - 3y = 4

    - 3y = 15

        y = -5

(-11, -5)

I don't see how (0, -3) could be a solution to the equation.

3 0
2 years ago
Please help I don’t think I remember this
nikdorinn [45]

Answer:

im not sure if this is right

Step-by-step explanation:

demension 1: 9 X 10      demension 2: 10 x 4

4 0
2 years ago
Read 2 more answers
If 2 packs of cookies cost $7.00, how many packs can you get for $17.50?
klasskru [66]

Answer:

You could get 5 packs of cookies.

Step-by-step explanation:

Each pack would cost $3.50, so we would have to divide $17.50 by $3.50, which would give us 5 packs of cookies

3 0
2 years ago
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