Ask question

Ask question

All categories

Sunny_sXe [5.5K]

2 years ago

12

PLEASE HELP THANK YOUUUU Your group has $120 available for the banquet. Any other costs must be covered from selling tickets for

the event. You decided to take care of the major cost first–hall rental and caterer. Each caterer you approach is associated with a specific hall. Caterer One charges $45 per person. The cost of using the hall is inclusive. Caterer Two charges $250 for hall rental plus $28 per person. Cater Three charges $500 for hall rental plus $20 per person. 1. Write the equation to represent the cost of each caterer. Use C to represent cost and n to represent number of people. (3 marks)

1 answer:

Keith_Richards [23]2 years ago

5 0

Answer:

The cost C, of hosting the banquet with the services of Caterer One is;

C = $ 45·n

The cost C, of hosting the banquet with the services of Caterer Two is;

C = $250 + $ 28·n

The cost C, of hosting the banquet with the services of Caterer Three is;

C = $500 + $ 20·n

Step-by-step explanation:

The information includes;

The amount available to the group for the banquet = $120

The number of people attending the banquet = n

The cost incurred in hosting the banquet = C

The major costs in hosting the banquet are hall rental and caterer

The cost per caterer are as follows;

Caterer One

The cost per person including the hall = $45

Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;

C = n × $45 = $ 45·n

Caterer Two

The hall rental = $250

The cost per person = $28

Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;

C = $250 + n × $28 = $250 + $ 28·n

Caterer Three

The hall rental = $500

The cost per person = $20

Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;

C = $500 + n × $20 = $500 + $ 20·n.

You might be interested in

The simplified expression

Romashka-Z-Leto [24]

Answer:

$5x^2 y^2$

Step-by-step explanation:

We need to use the properties shown below to solve this:

1. $\sqrt[n]{x^a} =x^{\frac{a}{n}}$

2. $\sqrt{x}\sqrt{x} =x$

3. $\sqrt{x} \sqrt{y}=\sqrt{x*y}$

Area of a triangle is given by 1/2 * base * height, so we do that and simplify:

$A=\frac{1}{2}(\sqrt{5x^3} )(2\sqrt{5xy^4} )\\A=\frac{1}{2}(5x^3)^{\frac{1}{2}}*2*(5xy^4)^{\frac{1}{2}}\\A=\sqrt{5}x^{\frac{3}{2}}*\sqrt{5}\sqrt{x} } y^2\\A=\sqrt{5} \sqrt{5}x^{\frac{3}{2}} x^{\frac{1}{2}}y^2\\A=5*x^2y^2\\A=5x^2 y^2$

6 0

3 years ago

Population Growth The population of a town of 5000

Nesterboy [21]

Answer:

a) $A=5000{(1.03)}^{t}$

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

$A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)$

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

a)

$A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}$

b) Apply the formula:

$A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464$

The town will have 5464 inhabitants.

5 0

3 years ago

Pleas help me find the composition of goh and it’s domain

Ksivusya [100]

Solution:

The function is given below as

$\begin{gathered} g(x)=\frac{x+4}{x-1} \\ h(x)=2x-1 \end{gathered}$

To figure out

$(goh)(x)$

To do this , we will substitute x= 2x-1 in g(x)

$\begin{gathered} g(x)=\frac{x+4}{x-1} \\ g(h)(x)=\frac{2x-1+4}{2x-1-1} \\ g(h)(x)=\frac{2x+3}{2x-2} \end{gathered}$

Hence,

The composte function will be

$(goh)(x)=\frac{2x+3}{2x-2}$

Step 2:

To figure out the domain,

In mathematics, the domain of a function is the set of inputs accepted by the function.

Hence,

The domain of the function is

$\begin{bmatrix}\mathrm{Solution:}\:&\:x1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:1\right)\cup \left(1,\:\infty \:\right)\end{bmatrix}$

5 0

1 year ago

I need someone to teach me how to solve this

abruzzese [7]

Answer:

t + 40 = 90

Step-by-step explanation:

90 minutes volunteering

40 minutes delivering flowers

90 - 40 = number of minutes answering phone (50 minutes)

so, t = 90 - 40 or rearranged to t + 40 = 90

6 0

2 years ago

The family is having grilled steak for dinner. Ian gets a 7-ounce steak. He eats 12 of it. How many ounces of steak does he eat?

DochEvi [55]

Answer:

the answer is 84

Step-by-step explanation:

7 times 12 equals 84

5 0

2 years ago

Read 2 more answers