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Oksanka [162]
3 years ago
7

A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each,

she can sell 300 plates, but for each GH¢5 she raises the price, 10 less plates are sold.
Draw a table of cost relating to number of plates using 6 values of cost and its corresponding number of plates bought.

What price in GH¢ should she sell the plates to maximize her revenue?​
Mathematics
1 answer:
Lilit [14]3 years ago
7 0

Answer:

Step-by-step explanation:

First, note this parameters from the question.

We let x = number of $5 increases and number of 10 decreases in plates sold.

Our Revenue equation is:

R(x) = (300-10x)(10+5x)

We expand the above equation into a quadratic equation by multiplying each bracket:

R(x) = 3000 + 1500x - 3000x - 1500x^2

R(x) = -1500x^2 - 1500x + 3000 (collect like terms)

Next we simplify, by dividing through by -1500

= 1500x^2/1500 - 1500x/1500 + 3000/1500

= X^2 - x + 2

X^2 - x + 2 = 0

Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1

X = - (-1)/2*1

X = 1/2

Number of $5 increases = $5x1/2 = $2.5

=$2.5 + $20 = $22.5 ticket price gives max revenue.

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Three-quarters of a pound of candy cost 66 cents. Find the cost of one pound<br> of candy.
konstantin123 [22]

Answer:

$0.88 per pound

Step-by-step explanation:

you want to divide the 3/4 pounds by 3, and when you do that, you also have to divide the 66 cents by 3 as well, then multiply the 1/4 you get from dividing 3/4 by 3, and multiply it by 4 to get 1 pound, but when you do that, you have to do the same thing with the 22 cents you get from dividing 66 cents by 3, which will give you 88 cents per pound

6 0
2 years ago
What is the volume, in cubic centimeters, of a rectangular prism with a height of 18 centimeters, a width of 9 centimeters, and
GenaCL600 [577]

Answer: 810 cm^3

Step-by-step explanation:

v= lwh

v= 5 * 9 *18

v= 810

7 0
3 years ago
Match the description to the best example so that all terms have a matching example.
rusak2 [61]

Answer:

I'm pretty sure a set a decimal fractions is {1/4, 1/2, 3/4}

I think a set of whole numbers is {3, 4, 5.}

A set of integers might be {-2, -1, 0, +1.}

I'm am sure a set of natural numbers is {1, 2, 3.}

The set if rational numbers is {0.1, 0.2, 0.3} I think.

I am not that sure if my answers are right or not so sorry if this is incorrect.

5 0
3 years ago
Read 2 more answers
Help? with complete solution​ please help me please
serious [3.7K]

9514 1404 393

Answer:

  1. 13 ft
  2. (a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

<h3>1. </h3>

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

  5² +(w -1)² = w²

  w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

  26 = 2w . . . . . . . . . . . . add 2w

  13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

__

<h3>2. </h3>

(a) When h = 0, the equation is ...

  0 = -16t^2 +8t +8

Dividing by -8 puts this into standard form:

  2t^2 -t -1 = 0

Factoring, we get ...

  (2t +1)(t -1) = 0

The positive value of t that makes a factor zero is t = 1.

It will take 1 second for the gymnast to reach the ground.

__

(b) When h = 8, the equation is ...

  8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

  0 = -2t^2 +t

  0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

  t = 0

  t = 1/2

The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.

8 0
2 years ago
Find the area.<br> 8 in<br> 19 in<br> 13 in<br> 1976 in²<br> 205 in²<br> 128 in²<br> 104 in²
sveticcg [70]

Total area = 104+24 = 128 sq.in ,  Option C is the right answer.

The missing figure is attached with the answer.

<h3>What is Area ?</h3>

The space occupied by a two dimensional figure is called Area.

The figure given in the question can be divided into two figure

A rectangle of 8 * 13 inch

and a triangle of 8 * 6 inch

The area of a rectangle is given by

Length * Breadth

8 * 13

= 104 sq.inch

The area of the triangle is given by

(1/2) * base * height

= (1/2) * 8 * 6

= 24 sq.inch

Total area = 104+24 = 128 sq.in

Therefore Option C is the right answer.

To know more about Area

brainly.com/question/27683633

#SPJ1

6 0
2 years ago
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