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emmainna [20.7K]
3 years ago
7

4. The top of the John Hancock Building is a rectangle whose length is 60 ft more than the width. The perimeter is 520 feet. Fin

d the width and the length of the rectangle.
A.w= 100 ft, L = 40 ft
B.w=160 ft, L = 100 ft
C.W = 40 ft, L = 100 ft
D.W = 100 ft, L = 160 ft
Mathematics
2 answers:
Levart [38]3 years ago
8 0
It’s D I hope the help u
Molodets [167]3 years ago
3 0
D.) =100 ft, l = 160
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Shakespeare wrote: All the world's a stage,/ And all the men and women merely players;/ They have their exits and their entrance
Bingel [31]

Answer:

A

Step-by-step explanation:

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2 years ago
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First you to find the worksheet and download it<br> plase I need help
Goshia [24]

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = 3^{x + 2}

The asymptote is given as x → -∞, f(x) = 3^{x + 2} → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = 3^{0 + 2} = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = 5^{1  - x}

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = 5^{1  - 0} = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = 2^{x + 3} - 1

The asymptote is 2^{x + 3}  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  2^{0 + 3} - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, 2^{x + 3} - 1 = 0

2^{x + 3} = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2

The asymptote is \left (\dfrac{1}{2} \right)^{x - 2} → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

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Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

<em>The </em><em>equation</em><em> </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>first </em><em>we </em><em>can </em><em>find </em><em>slope </em><em>(</em><em>m</em><em>) </em>

<em>=</em><em> </em><em>(</em><em>y2 </em><em>-</em><em> </em><em>y</em><em>1</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2</em><em> </em><em>-</em><em> </em><em>x1</em><em>)</em>

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<em>Now </em><em>the </em><em>equation </em><em>is</em>

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given the equation y = 2x - 8, find the ordered-pair solution when x = 4 and the ordered-pair solution when y = 4
babunello [35]

Answer:

When x = 4, (4, 0)

When y = 4, (6, 4)

Step-by-step explanation:

To find the ordered-pair solution when x = 4, plug 4 into the x of the equation.

y = 2x - 8

y = 2(4) - 8

y = 8 - 8

y = 0

This produces the ordered pair (4, 0).

To find the ordered-pair solution when y = 4, plug 4 into the y of the equation.

y = 2x - 8

4 = 2x - 8

12 = 2x

6 = x

x = 6

This produces the ordered pair (6, 4).

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dolphi86 [110]

Answer:

The future value is: RS 132867.075

Step-by-step explanation:

Given

PV = 75000 --- present value

r = 10\% --- annual rate

n = 6 --- number of times compounded (3 years/ 6 months)

Required

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This is calculated as:

FV =PV * (1 + r)^n

FV = 75000 * (1 + 10\%)^6

FV = 75000 * (1 + 0.10)^6

FV = 75000 * (1.10)^6

FV = 132867.075

<em>Hence, the future value is: RS 132867.075</em>

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