A group of five friends went out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the same, so they wanted to split the bill evenly. Without considering tip, how much should each friend pay? *

Answer:

a) [tex]P(t) = 11500 + 425t[/tex]

b) The slope is of 425 people, which is by how much the population increases each year.

c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d) 17,875 people.

Step-by-step explanation:

A linear function that measures population after t years has the following format:

[tex]P(t) = P(0) + at[/tex]

In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.

a. Write a function for the population, P, in terms of the number of years since 2000.

The first step is finding the slope.

Finding the slope:

The slope is the change in the output divided by the change in the input, during a period of time.

The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.

This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.

So the slope is

[tex]a = \frac{1700}{4} = 425[/tex]

So

[tex]P(t) = P(0) + 425t[/tex]

Finding the initial population:

We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So

[tex]P(t) = P(0) + 425t[/tex]

[tex]13625 = P(0) + 425*5[/tex]

[tex]P(0) = 13625 - 425*5[/tex]

[tex]P(0) = 11500[/tex]

So

[tex]P(t) = 11500 + 425t[/tex]

b. What is the slope of the function and what does it represent in the context of the problem. Include units.

The slope is of 425 people, which is by how much the population increases each year.

c. What is the vertical intercept of the function and what does it represent? Include units

The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.

d. What do you believe the population was in 2015?

2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).

[tex]P(15) = 11500 + 425*15 = 17875[/tex]

17,875 people.

Answer:

x=7

Step-by-step explanation:

You

Have

X-ray

Vision

YhXr

Answer:

Step-by-step explanation:

Answer:

[tex]Estimate = 5.0kg[/tex]

Step-by-step explanation:

Given

[tex]Weight = 1.656kg[/tex]

Required

Determine the estimated for 3 containers

Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.

i.e.

[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]

[tex]Estimate = 3 * 1.656kg[/tex]

[tex]Estimate = 4.968kg[/tex]

[tex]Estimate = 5.0kg[/tex] --- approximated

So, the estimated weight is 5.0kg

Answer:

1428 (1-0.385) = 878.22

Step-by-step explanation:

Answer:

mean = 9

mode = 15

median = 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Did you mean: Change 19/4 into a mixed number (fraction).

How do you turn 19/4 into a mixed number?

As an improper fraction. (numerator larger than denominator): 19/4 = 19/4

As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4

As a decimal number: 19/4 = 4.75.

As a percentage: 19/4 = 475%

4 and 3/4

16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.

Answer:

(14,-3)

Step-by-step explanation:

To sum vectors, simply sum values at each position.

The sum is (4+10, -5+2) = (14,-3)

Answer:

4144

Step-by-step explanation:

hope this helps

Answer:

the answer is 4,144

Step-by-step explanation:

Answer:

increasing on intervals

Step-by-step explanation:

cause the intervals come from a negative 2 aNd are going upwards in which the become positive

hope I helped

Answer:

Angle M = 63

Angle N = 96

Step-by-step explanation:

By exterior angle of triangle:

Angle M + Angle N = 159

(4y+3)+(6y+6)=159

y = 15

Angle M = 4y + 3 = 4(15) + 3 = 63

Angle N = 6y + 6 = 6(15) + 6 = 96

Answer:

5+12i

Step-by-step explanation:

So 12-7 = 5 and 8i+4i=12i and that equals 5+12i

Answer:

$12 on Monday

$16 on Tuesday

$28 in total

Step-by-step explanation:

Multiply the number of pounds by the cost per pound on Monday:

3 * 4 = $12 on Monday

If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:

4 * 0.2 = 0.80

Next, subtract the 20% from the normal price:

4 = 0.80 = 3.20

Finally, multiply the discounted price by the number of pounds she bought:

3.20 * 5 =  $16 on Tuesday

You can find the total of both Monday and Tuesday by adding the two together:

12 + 16 = $28.00 in total

Answer:

L.c.m of 3 and 6 is 6

Answer:

Lcm of 3&6 is:

3*2 & 6*1 (DONE LIKE THIS BECAUSE THAT LCM OF 3 & 6 IS FOUND TO BE 6 AS BOTH 3 & 6 HAS THE SMALLEST COMMON MULTIPLE AS 6)

6  & 6

There fore LCM is 6

Answer:  

Your efficiency is 80%. N is 400

Step-by-step explanation:

I hope I helped :)

Would appreciate Brainliest ;)

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Have a lovely day and good luck with your school work!

I believe the answer is 400, 80%

have a blessed day!

The increase will be the original price x the increase rate.

15649 x 0.035 = $547.72

The new price would be original price + increase

15649 + 547.72 = $16,196.72

Answer:

-1/3

Step-by-step explanation:

-4 - -5 = 1

3 - 6 = -3

1/-3 = -1/3

Answer: -1/3

Step-by-step explanation: slope is the difference in the y values over the difference of the x values

Answer:120°

Step-by-step explanation:

Given

cake is cut into 12 equal pieces

We know the top view of cake is similar to circle .

So, if a circle is divided into 12 equal parts then

each part subtend an angle of

∅ = 360/12 = 30%

If 8 slices were eaten , then 4 slices are remaining

These 4 slices measure subtend equal angle at the center therefore

4 slice measure a total of 4 × ∅

➡️ 4 x 30°

➡️ 120°

Answer:

Step-by-step explanation:

3) 15,39,65

_________

5 )5,13,65

--------------

13  )1,13,13

----------------

   |  1,1,1

L.C.M.=3×5×13=195

They will chime together after 195 minutes.

Answer:

1.2 Cm.

Step-by-step explanation:

If you multiply these three fractions you get 1.2 Cm. Or in fraction from 6/5

Hope this helped. Please correct me if I am wrong

Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21

Given the Parameters :

The projected number of members next summer can be calculated thus :

Therefore, Ming expects to see the number of members rise to 21 next summer.

Learn more :https://brainly.com/question/18796573

Answer:

It's 36 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4×1½×2 = 4×3 = 12

Given:

A figure of a right triangle.

To find:

The value of x.

Solution:

According to the geometric mean attitude theorem, if an altitude is drawn from the right angle vertex to the hypotenuse, then the altitude is the geometric mean of segments of hypotenuse.

Using geometric mean attitude theorem, we get

[tex]\dfrac{3}{x}=\dfrac{x}{5}[/tex]

[tex]3\times 5=x\times x[/tex]

[tex]15=x^2[/tex]

[tex]\pm \sqrt{15}=x[/tex]

But side cannot be negative. So,

[tex]\sqrt{15}=x[/tex]

Therefore, the value of x is [tex]\sqrt{15}[/tex].

Answer:

16

Step-by-step explanation:

One basket takes (1/4)th of the shelf.

So, in one shell, Cindy can place 4 baskets

Total number of baskets = 4 *4 = 16

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Smallest angle: ∠P

Opposite shortest side.

Middle angle: ∠O

Opposite middle side.

Largest angle: ∠Q

Opposite longest side.

Therefore:

m∠P<m∠O<m∠Q

Less than symbol goes from smallest to largest

Answer:

[tex]468 {in}^{2} [/tex]

Step-by-step explanation:

see attached image, surface area is the area of each surface added together

Answer:

[tex]-20\frac{3}{4}[/tex] < [tex]-15\frac{1}{2}[/tex] < [tex]-14\frac{3}{4}[/tex] < [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Just so you know, the larger a negative number is, the smaller the number's value is.