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stellarik [79]
1 year ago
12

Solve the given word problem.

Mathematics
1 answer:
Paladinen [302]1 year ago
8 0

The dimensions of the bulletin board is 2 ft and 9 ft.

Let the width of board = x

Then, the length of board = 7+x

Area of board = 18 ft²

Area of rectangle = L×W

so, (7+x) × x = 18 ft²

7x + x² = 18 ft²

7x + x² + 18 = 0

x² + 9x -2x -18 = 0

x(x+9) -2(x+9) = 0

(x+9) (x-2) = 0

x+9 =0, x -2 = 0

Dimension can not be in negative number, so

x = 2, Width = 2 ft

Length = 2+7 = 9 ft

Hence, the dimensions of board will be:

The width of board = 2 ft

And, the length of bard = 9 ft.

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Tech support spent $66,220 this year on delivery alone. If total sales were $768,000, what percent of
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4 0
3 years ago
What is the percent rate??
dezoksy [38]

Using an exponential function, it is found that the decay rate is of 6.24% a year.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

The half-life is of 10.75 years, hence A(10.75) = 0.5A(0) and this is used to find the decay rate r.

A(t) = A(0)(1 - r)^t

0.5A(0) = A(0)(1 - r)^{10.75}

(1 - r)^{10.75} = 0.5

\sqrt[10.75]{(1 - r)^{10.75}} = \sqrt[10.75]{0.5}

1 - r = (0.5)^{\frac{1}{10.75}}

1 - r = 0.9376.

r = 1 - 0.9376.

r = 0.0624.

The decay rate is of 6.24% a year.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

6 0
2 years ago
6-4/6+4 route 3. Can you guys help to to solve it
Gemiola [76]

Answer:

8.34

Step-by-step explanation:

6-4/6+3

6-0.66+3

5.34+3

8.34

PEMDAS

4 0
3 years ago
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