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amm1812
3 years ago
10

A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the

linear function representing the total cost of the party?
Mathematics
1 answer:
Nady [450]3 years ago
4 0

Answer:

The y intercept is 200

Step-by-step explanation:

Given

Base Cost = 200

Per person =8

Required

Determine the y intercept

First, we need to determine the equation.

The total amount (y) for x persons can be calculated using:

y = Base Cost + Amount per person * x.

This gives

y = 200 + 8 * x

y = 200 + 8x

The general expression of a linear equation is:

y = mx + b

Where b = y intercept

By comparison,

b = 200

Hence, the y intercept is 200

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Question 10 (1 point) Solve for x. 1/2+x/6=4/3
jek_recluse [69]

Answer:

The value of x for the given expression is 5 .

Step-by-step explanation:

Given expression as

\dfrac{1}{2} + \dfrac{x}{6} = \dfrac{4}{3}

Now, arrange the equation

So, \dfrac{x}{6} = \dfrac{4}{3} - \dfrac{1}{2}

<u>Taking L.C.M on right hand side </u>

Or,  \dfrac{x}{6} = \dfrac{8 -3}{6}

Or,  \dfrac{x}{6} = \dfrac{5}{6}

Or, x = \frac{5\times 6}{6}

∴  x = 5

So, The value of x = 5

Hence,The value of x for the given expression is 5 . Answer

5 0
3 years ago
find a number such that 8 times the number is 36 greater than the opposite of the number. Explain also please. ♥
lukranit [14]
Let's turn this sentence into an equation:

8n = -n + 36

Then solve:

9n = 36 => n=4
6 0
3 years ago
Read 2 more answers
4. If Sean has about 130 pieces of candy, what
Lerok [7]

Answer:

EXPLAIN

Step-by-step explanation:EXPLAIN

EXAMPLE

6 0
3 years ago
Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for
Anni [7]

Option C

Monthly loan payment is $ 93.33

<em><u>Solution:</u></em>

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

<em><u>Hence net principal is given as:</u></em>

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

<em><u>Let us first calculate the simple interest</u></em>

The formula for simple interest is given as:

\text{ simple interest } = \frac{ p \times n \times r}{100}

Substituting the given values,

\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

<em><u>How much are the monthly loan payments?</u></em>

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

\text{ Monthly loan payment } = \text{ Total amount payable } \div 24

\text{ Monthly loan payment } = \frac{2240}{24} = 93.33

Thus monthly loan payment is $ 93.33 Option C is correct

4 0
3 years ago
Which of the following is a factor of 2xy + 8y − 8x − 32?
muminat
You could start by eliminating wrong answer(s):

(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,

(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)

On the other hand:

(b) 2 definitely divides evenly into </span>2xy + 8y − 8x − 32:  2(<span>xy + 4y − 4x − 16)

(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
                                           We get 2(x +4) [y - 4]</span>
4 0
3 years ago
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