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Veseljchak [2.6K]
3 years ago
10

Increase 15837.77 by 8.5% give your answer rounded to 2 D.P

Mathematics
1 answer:
artcher [175]3 years ago
3 0

Given:

Increase 15837.77 by 8.5%.

To find:

The answer rounded to two decimal places.

Solution:

We have,

Initial value = 15837.77

Increasing percent = 8.5%

Now, the value after increasing by 8.5 % is

\text{Required value}=15837.77+\dfrac{8.5}{100}(15837.77)

\text{Required value}=15837.77+1346.21045


\text{Required value}=17183.98045


Round the value to two decimal places.

\text{Required value}\approx 17183.98


Therefore, the required value is 17183.98.

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House of Mohammed sells packaged lunches, where their finance department has established a
blagie [28]

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

  • (a) <u>R = -x² + 82·x</u>
  • (b) <u>$1,645</u>
  • (c) The graph of <em>R</em> has a maximum because the <u>leading coefficient </u>of the quadratic function for <em>R</em> is negative.
  • (d)  <u>R = -1·(x - 41)² + 1,681</u>
  • (e) <u>41</u>
  • (f) <u>$1,681</u>

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

  • <u>R = -x² + 82·x </u>

<em>Where, the constant term, c = 0</em>

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

  • The revenue when 35 lunches are sold, <em>R</em> = <u>$1,645</u>

(c) The given function for <em>R</em> is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function <em>R</em> is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c,  we have;

\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}

Therefore, for the revenue function, the x-value of the vertex, is; \displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}

The revenue at the vertex is; R_{max} = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

  • The revenue equation in the form, a·(x - h)² + k is; <u>R = -1·(x - 41)² + 1,681</u>

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

  • The number of lunches that must be sold for the maximum revenue to be achieved is<u> 41 lunches</u>

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

  • <u>The maximum revenue of the company is $1,681</u>

Learn more about the quadratic function here:

brainly.com/question/2814100

6 0
2 years ago
Answer the question and explain your answer. I will be marking brainiest! If you have the correct answer and explain why it’s co
cestrela7 [59]

Answer:

A = 200.96 sq ft

Step-by-step explanation:

formula for area of a circle:  A = π·r²

A = (3.14)·(8²)

A = 64·(3.14)

A = 200.96

7 0
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I neeedddd help. I am not understanding. Can someone help?/ explain this?
zysi [14]

Answer:

F= 4 4/6

Step-by-step explanation:

Lets break it down

3 1/6 + f - 7 5/6

3 plus what equals 7 answer 4!

1/6 pls how many more sixths equals 5/6th answer 4/6 ths

so overall you combine the two answers for whole and fraction an

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I need help with twenty seven
Elanso [62]
Ben is taller
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3 years ago
4z - 8 = 20<br> Step by step
AysviL [449]

Answer:

z = 7

Step-by-step explanation:

4z - 8 = 20

Add 8 to each side

4z - 8+8 = 20+8

4z = 28

Divide each side by 4

4z/4 = 28/4

z = 7

5 0
3 years ago
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