Write the equation of the linear function that generates the table below.

A marketing company plans to hold a meeting in a large conference room at a hotel. The Cost of renting the room is $500, and the

hodyreva [135]

Answer:

The greatest number of people that can attend the meeting on that budget is 116

Step-by-step explanation:

The cost for the meeting is given by the following expression:

cost = 500 + 6*person

Since the budget is $1200 the cost must be at most equal to that, therefore:

1200 = 500 + 6*person

500 + 6*person = 1200

6*person = 1200 - 500

6*person = 700

person = 700/6 = 116.667

Since there can't be a 0.667 person, the greatest number of people that can attend the meeting on that budget is 116

7 0

3 years ago

What is the greatest common factor of 54,30,78? pleaseeeeee help lol

Contact [7]

$Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 54\ and\ 30\\and\ 78\ can\ be\ divided\\\\
54:2\\
27:3\\9:3\\3:3\\\\
30:2\\
15:3\\
5:5\\\\78:2\\39:3\\13:13
\\\\GCF=2*3=6\\\\Greatest\ common\ factor\ of\ 54\ and\ 30\ and\ 78\ is\ equal\ to\ 6.
$

5 0

3 years ago

(a) What was Jennifer’s gross pay for the year?

alukav5142 [94]

Answer:

Part a: From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b: From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c: It should be $2160.95 instead of $2164.44

Part d: It should be $505.38 instead of $467.68

Part e: FICA Tax is $2665.38

Part f: She owes the difference $16.52 to the Federal Tax.

Step-by-step explanation:

As data was missing from the question, the complete question is found online and is attached herewith.

Part a:

From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b:

From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c:

For 2012, Social Security Tax is given as 6.2% of the gross pay so

Item 4 should then be

6.2% x Gross Income

6.2% x 34854

.062 * 34854 = 2160.95

It should be $2160.95 instead of $2164.44

Part d

For 2012, Medicare Tax is given as 1.45% of the gross pay so

Item 6 should then be

1.45% x Gross Income

1.45% x 34854

.0145 * 34854 = 505.38

It should be $505.38 instead of $467.68

Part e

FICA tax is given as sum of Social security tax and Medicare taxes. This is given as

FICA Tax=Social Security Tax+Medicare Tax

FICA Tax=$2160+$505.38

FICA Tax=$2665.38

FICA Tax is $2665.38

Part f

From the attached table, with $32104 as the taxable income, as the head of household she owes $4199 in Federal tax.

From the attached wages and tax statement in column 2, she paid $4182.48. Thus she owes the difference $16.52 to the Federal Tax.

5 0

3 years ago

Evaluate arithmetic series:-<br><br> Step-by-step answer, please!

lorasvet [3.4K]

Let's see

$\\ \rm\Rrightarrow {\displaystyle{\sum^{275}_{k=1}}}(-5k+12)$

$\\ \rm\Rrightarrow (-5(1)+12)+(-5(2)+12)\dots (-5(275)+12)$

$\\ \rm\Rrightarrow 7+5+3+2+1+\dots -1363$

So

a=7
l=-1363
n=275

Sum:-

$\\ \rm\Rrightarrow S_n=\dfrac{n}{2}[a+l]$

$\\ \rm\Rrightarrow \dfrac{275}{2}(7-1363)$

$\\ \rm\Rrightarrow \dfrac{275}{2}(-1356)$

$\\ \rm\Rrightarrow 275(-678)$

$\\ \rm\Rrightarrow -186450$

4 0

2 years ago

Read 2 more answers

at 6:00 a.m., the temperature is 58°. At 2:00 p.m., temperature is 76°. Find the rate of change in degrees per hour during this

lesya [120]

Answer:

The rate of change is of 2.25 degrees per hour.

Step-by-step explanation:

The rate of change in degrees per hour is given by by the change in temperature divided by the change in time(by number of hours).

In this question:

From 6 am to 2 pm, there are 12 - 6 + 2 - 0 = 6 + 2 = 8 hours

The change in temperature was of 76 - 58 = 18º

Rate of change:

18º/8 = 2.25º

The rate of change is of 2.25 degrees per hour.

6 0

3 years ago