A hardcover book sells for 24$ at the bookmart. Ben pays 25.02 for the book. What is the sales tax rate?

Answer:

Option B is the correct answer.

Explanation:

 Current number of butterflies in the park = 20 thousand.

 Rate of increase of butterfly population = 4% = 0.04

The population of butterfly after 1 year = 20+0.04*20 = 20*1.04

The population of butterfly after 2 years =  20*1.04 + 20*1.04*0.04 = 20*1.04*1.04

 The population of butterfly after 3 years =  20*1.04*1.04 + 20*1.04*1.04*0.04 = 20*1.04*1.04*1.04

So, population of butterfly after n years = 20*(1.04*1.04*1.04* .... n times)

                                                                  [tex]= 20*1.04^n[/tex]

Option B is the correct answer.

Answer:

The answer is C

Step-by-step explanation:

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have y = 2/3 x - 2

y-intercept = -2

Only the one graph has that y-intercept (look at the picture).

y = [tex]\frac{2}{3}x[/tex] - 2 means the line will intercept the y-axis at -2 and have a slope (rise over run) of 2 over 3.

Answer: C

Answer:

12 inches

Step-by-step explanation:

volume = length * width * height

volume = (length * width) * height

volume = (area of base) * height

height = volume/(area of base)

height = (240 in^3)/(20 in^2) = 12 in

Answer the box was 12 in bc 20x240divided by 4 =12

You answer is: 17

Or otherwise B. is your correct answer.

(9 - 23) = -(14)

| 47 - 16| = 31

31 + (-14) = 17

Answer:

B: 17

Step-by-step explanation:

The function is an illustration of a linear function.

See attachment for the graph of [tex]\mathbf{h(x) =-\frac{1}{5}x + 3}[/tex]

Let the independent variable be x

The highlights are given as:

From the above highlights, we have:

[tex]\mathbf{m = -\frac{1}{5}}[/tex] --- the slope

[tex]\mathbf{b = 3}[/tex] --- the y-intercept

A linear equation is represented as:

[tex]\mathbf{h(x) =mx + b}[/tex]

So, we have:

[tex]\mathbf{h(x) =-\frac{1}{5}x + 3}[/tex]

See attachment for the graph of [tex]\mathbf{h(x) =-\frac{1}{5}x + 3}[/tex]

Read more about linear functions at:

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A. The measures of two angles have a sum of 180º if and only if the angles are supplements.

the angles must be supplementary to equal 180

The angles in the triangle ABC total 120 degrees, verifying it as a correct triangle. Given it is an isosceles triangle with AB and AC being the equal sides of length 6, and by applying the law of cosines, the length of side AC can be calculated.

Given the angles of the triangle ABC as m

We can use the Law of Cosines to find the length of the side AC. The Law of Cosines states that c² = a² + b² - 2ab * cos(y). By substituting the given values into this formula, we find AC = sqrt[4² + 6² - 2*4*6*cos(50°)] which gives us the length of side AC.

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1.2% of 8th grade students is the percentage change.

The x values are the same for both green dots, so you are looking at a simplified version of the distance formula.

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

Since x1 = x2 = 5, the first set of brackets = (5 - 5) = 0

d = sqrt( y2 - y1)^2 )

d = y2 - y1

y2 = 5

y1 = - 1

d = 5 - - 1

d = 6    Answer

Answer:

1/2 more then day 2.

Step-by-step explanation:

The difference in the amount of field plowed on day 1 compared to day 2 is 1/4, assuming day 1 was ½ and day 2 was ¼ of the field.

To calculate how much more of the field was plowed on day 1 than on day 2, we need to subtract the fractions that represent the part of the field plowed on each day. However, you did not specify the fractions, so I will assume you meant to say ½ of the field was plowed on day 1 and ¼ of the field on day 2. Thus, the difference can be calculated as follows:

Therefore, you plowed 1/4 more of the field on day 1 than you did on day 2.

This is the same concept as the previous question.  The symbol (<) means it is a dashed line and shaded to the left.

Answer: B

For the 1 and 2/5, go four little lines past the 1.

-1/2, go five little lines in between 0 and -1.

and for -2 1/10, go to -2 and then one little line towards the 3, so it is one little line to the left of -2.

Answer:

Step-by-step explanation:

An administrative court is specialize in administrative laws, its concern is mainly about public powers. Basically, the role of these type of courts is to ensure that officials are doing their job according to the law. Some of the issues that matters to an administrative courts are: taxation, dispensation of monetary benefits, environmental licenses, building inspection, child custody, immigration decisions, and more.

So, in this case we are talking about social security, someone is not receiving the benefits from it, so this means that a public institution is not working well, that's an administrative court jurisdiction, because it's in the public sector.

[tex]2x^2+6x-10=x^2+6\qquad\text{subtract}\ x^2\ \text{and 6 from both sides}\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x+8)(x-2)=0\iff x+8=0\ \vee\ x-2=0\\\\x+8=0\qquad\text{subtract 8 from both sides}\\\boxed{x=-8}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}\\\\Answer:\ \boxed{B.\ -8\ and\ C.\ 2}[/tex]

For this case we have the following expressions:

a) [tex]1.71 * 10 ^ 3[/tex], in this case we have a positive exponent, therefore we move the decimal point as many times to the right as indicated by the exponent, that is, 3 times. So, we have:

[tex]1.71 * 10 ^ 3 = 1,710[/tex]

b) [tex]8.05 * 10 ^ 5[/tex], in this case we have a positive exponent, therefore we move the decimal point as many times to the right as indicated by the exponent, that is, 5 times. So, we have:

[tex]8.05 * 10 ^ 5 = 805,000[/tex]

c)[tex]2.4 * 10 ^ 4[/tex], in this case we have a positive exponent, therefore we move the decimal point as many times to the right as indicated by the exponent, that is, 4 times. So, we have:

[tex]2.4 * 10 ^ 4 = 24,000[/tex]

d) [tex]8.25 * 10^{-3}[/tex], in this case we have a negative exponent, therefore we move the decimal point as many times to the left as indicated by the exponent, that is, 3 times. So, we have:

[tex]8.25 * 10^{-3} =0.00825[/tex]

e) [tex]7.09 * 10^{-6}[/tex], in this case we have a negative exponent, therefore we move the decimal point as many times to the left as indicated by the exponent, that is, 6 times. So, we have:

[tex]7.09 * 10^{-6} = 0.00000709[/tex]

f) [tex]3.99 * 10 ^ 5[/tex], in this case we have a positive exponent, therefore we move the decimal point as many times to the right as indicated by the exponent, that is, 5 times. So, we have:

[tex]3.99 * 10 ^ 5 = 399,000[/tex]

g) [tex]8 * 10 ^ 7[/tex], in this case we have a positive exponent, therefore we move the decimal point as many times to the right as indicated by the exponent, that is, 7 times. So, we have:

[tex]8 * 10 ^ 7 = 80,000,000[/tex]

h) [tex]1.03 * 10^{-4}[/tex], in this case we have a negative exponent, therefore we move the decimal point as many times to the left as indicated by the exponent, that is, 4 times. So, we have:

[tex]1.03 * 10^{-4}= 0.000103[/tex]

Answer:

The correct options are: b, e, g and h

Hey there!!

Given equation :

17g - 2g

Let;s first look at something which is common in both the terms.

Yes, the alphabet which is common is the ' g '.

Now, let's apply distributive property.

... 17g - 2g

... g ( 17 - 2 )

Hence, the appropriate answer would be ' D '.

Hope my answer helps!

To model the situation with a linear inequality, represent the number of individual tickets sold as x and the number of couple tickets as y. The inequality is 6x + 10y >= 1450, signifying that the revenue from individual and couple ticket sales needs to be at least $1,450.

To write a linear inequality to model the student council ticket sales, let x represent the number of individual tickets sold, and y represent the number of couple tickets sold. The tickets cost $6.00 per individual and $10.00 per couple. The council needs to make at least $1,450 to cover the expenses of the fall ball dance.

To derive the inequality, we consider the revenue generated from selling individual tickets (x tickets × $6.00 per ticket) plus the revenue generated from selling couple tickets (y tickets × $10.00 per ticket) should be at least $1,450:

6x + 10y ≥ 1450

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Answer:

20 seconds

Step-by-step explanation:

Your friend starts 10 meters in front of the starting line.

You start from the starting line.

You run at 6 meters/ second.

Your friend runs at 5.5 meters/second.

You and your friend will be at the same distance from the starting line only when you are able to catch your friend.

The relative speed between you two is the difference in your speed and your friend's speed that is:

[tex]6-5.5=0.5m/s[/tex]

So to cover 10 meters of separation at the speed of 0.5 meter/second it will take:

[tex]t=\frac{10}{0.5}= \frac{100}{5}=20s[/tex]

So it will take 20 seconds for you and your friend to be at the same distance from the starting line.  

Answer:

20 seconds is correct.

Step-by-step explanation:

Answer:

its d 44.04

Step-by-step explanation:

C Is your awnser! have a good day Pretty sure its C because theres only 1 line

Answer:

x=-2

Step-by-step explanation:

Consider equation -11=5+8x

Collecting the like terms

-8x=11+5, -8x=16

Dividing through by -8 ob both sides of the equation

(-8x)-/8=16/-8

x=-2

well, I really can't really understand the way you asked the question, But, If it helps I can give you the entire sequence all the way to 82.

The sequence is,

2, 12, 22, 32, 42, 52, 62, 72 , 82, ect...,

1 hour 55 minutes

break the time down into hours and minutes

7 : 10 → 8 : 00 = 50 minutes

8 : 00 → 9 : 00 = 1 hour

9 : 00 → 9 : 05 = 5 minutes

adding 1 hour + 50 minutes + 5 minutes = 1 hour 55 minutes

The movie lasted for a total of 115 minutes, which is calculated by adding the one hour between 7:10 and 8:10 to the additional 55 minutes between 8:10 and 9:05.

To calculate the duration of a movie that starts at 7:10 and ends at 9:05, you would subtract the start time from the end time. Starting at 7:10 and going up to 8:10 is one hour. From 8:10 to 9:05 is an additional 55 minutes. Therefore, adding these two parts together, the movie lasted for 1 hour plus 55 minutes, which is a total of 115 minutes.

Step-by-step, the calculation is as follows:

The steps are as follows:

1. Put the compass at one point on the vertex of the angle and draw an arc that intersects both sides of the angle.

2. Now, draw an arc from each of these points of intersection, in such a way that the arcs intersect in the interior of the angle. Keep the compass open in the same amount throughout this step.

3. Now, draw a ray/line from the vertex of the angle to the intersection point of the two arcs drawn during step 2.

How many arcs would you make? We will draw 3 arcs.

Answer:

Option B is the correct answer.

Step-by-step explanation:

Earning for tutoring per hour = 15$

Earning for bag boy per hour = 8$

We have Nick is only able to work up to 20 hours per week but must earn at least $150 per week and t represents the number of hours Nick tutors and b represents the number of hours he works as a bag boy.

Nick is only able to work up to 20 hours per week

                     t + b ≤ 20

But must earn at least $150 per week

                    15 t + 8 b ≥ 150

Option B is the correct answer.