The gift shop sold 12
magnets for $24. What is
the unit price?

The daily average balance is $\(3,231.61\) (rounded to the closest penny).

With banking & accounting, the balance refers to the sum outstanding on an accounts. The term "balance" in accounting means the disparity between the total of debit and the total of credit entries made into an account over the course of a certain financial period.

Guarantees health: Your development depends on both your physical and emotional health, which also has an impact on your family's general wellbeing. Finding balance assures your personal progress, mental tranquilly, and wellbeing while assisting you in living a happy and comfortable life.

average daily balance \(=\) \((balance1 * days1 + balance2 * days2 + balance3 * days3) / total days\)

\(balance1 = 3,260\)

\(days1 = 10\)

\(balance2 = 4,420\)

\(days2 = 8\)

\(balance3 = 2,480\)

\(days3 = 13\)

\(total days = 31\)

Using the formula, we get:

average daily balance \(= (3,260 * 10 + 4,420 * 8 + 2,480 * 13) / 31\)

average daily balance \(= (32,600 + 35,360 + 32,240) / 31\)

average daily balance \(= 100,200 / 31\)

average daily balance \(= 3,231.61\)

Therefore, the average daily balance rounded to the nearest cent is $\(3,231.61\).

To know more about balance visit:

https://brainly.com/question/21956488

#SPJ1

Answer: - 1/5

Step-by-step explanation:

-1/3= -0.333333

1/2= 0.5

-1/5= -0.2

1/4= 0.25

When you compare them, you see that -0.2 is closer to 0. Since -0.2 is equivalent to -1/5, -1/5 is the answer.

Answer:

-1/5

Step-by-step explanation:

it just it

The amount after 5 years on $100 using the compound interest is $122.

According to the question,

We have the following information:

Principal = $100

Interest Rate = 4%

Time= 5 years

We know that the following formula is used to find the total amount if there is compound interest:

Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years

(Note that there are different formulas for compound interest depending on how it is calculated.)

A = \(100(1+\frac{4}{100})^{5}\)

A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)

A = 100*1.22

A = $122

Hence, the amount after 5 years on $100 using the compound interest is $122.

To know more about compound interest here

https://brainly.com/question/12106357

#SPJ1

Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Answer:

b

Step-by-step explanation:

because the line i tercept of x is the s sloped

The graph that represents the function f(x) would be; option B.

There are many tools we can find the information of the relation which was used to form the graph. A graph contains data of which input maps to which output. Analysis of this leads to the relations which were used to make it.

We have been given the function as;

\(f(x)= -1/4x^6\)

Here y-intercept = Intersection points of the considered function curve on the output axis.

On the x-axis, the value of the y-coordinate is 0,

On the y-axis, the value of the x-coordinate is 0.

The x-intercept for a function y = f(x) is a solution to the equation f(x) = 0 because the value of x, the function f(x) lies on the x-axis.

Hence, the graph that represents the function f(x) would be; option B.

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

Suppose that So, S1, S2,... is a sequence of subsets of N the following sets is guaranteed to be different from all sets in the sequence is S = {n² | n² & Sn}.

Subsets are a part of the mathematical concept of sets. A set is anything that is wrapped in curly braces, such as "a,b,c,d." If set A is a collection of even integers and set B is composed of the numbers 2, 4, and 6, then set A is the superset of set B and set B is said to be a subset of set A. Review Sets Subset and Superset for further details.

Set A is referred to as a subset of Set B if each element of Set A is also present in Set B. In other words, Set B includes Set A.

As an illustration, if set A has the elements X, Y, and set B contains the elements X, Y, and Z, then set A is the subset of set B.

Learn more about Subsets:

https://brainly.com/question/30379171

#SPJ4

Answer:

The answer is D

Step-by-step explanation:

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

For more information on the Perimeter of the Rectangle, click:

https://brainly.com/question/13757874

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ1

The population density of Rio de Janeiro in people per square meter is 5. 377 x 10 ⁻³ people per m²

To find the population density in meters squared when given the population density in kilometers squared, you first need to find the conversion factor between kilometer squared and meters squared.

1 kilometer squared is equal to 1, 000, 000 meters squared.

The population density of Rio de Janeiro in meters squared is therefore:

= Population density in kilometers squared / Conversion factor

= 5, 377 / 1, 000, 000

= 0. 005377

= 5. 377 x 10 ⁻³ people per m²

Find out more on population density at https://brainly.com/question/16894337

#SPJ1

The full question is:

In 2016, the city of Rio de Janeiro had a population density of 5377 people/km2.

What was the population density of Rio in people per square meter?

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

Answer:

no

Step-by-step explanation:

because 3/4 equals to 0.75 or 75%

1/4 = 0.25 or 25%

2/4 or 1/2 = 0.50 or 50%

3/4 = 0.75 or 75%

4/4 or 1 = 1 or 100%

The Canal's price/earnings ratio is 2.92.

To calculate Canal's price/earnings ratio, we need to find the earnings per share (EPS) first. The EPS can be calculated by dividing the net income by the weighted average number of common shares outstanding.

The weighted average number of common shares outstanding can be calculated as follows:

Weighted average number of common shares outstanding = Total number of common shares - Weighted average number of treasury shares

Weighted average number of common shares outstanding = 24,200 - 4,200 = 20,000

EPS = Net income / Weighted average number of common shares outstanding

EPS = $260,000 / 20,000 = $13

Finally, the price/earnings ratio can be calculated by dividing the market price per share by the EPS:

Price/earnings ratio = Market price per share / EPS

Price/earnings ratio = $38 / $13 = 2.92

To know more about earnings per share visit :

https://brainly.com/question/28143339

#SPJ1

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

\(\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}\)

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

\(y=3x-2\ \text{if}\ -1\leq x<0\)

Substitute x =-1 and x = 0:

\(x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2\)

Range of this piece is [-5; -2)

\(y=2x+3\ \text{if}\ 0\leq x<5\)

Substitute x =0and x = 5:

\(x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13\)

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

\([-5;\ -2)\ \cup\ [3;\ 13)\)

Look at the picture.

Answer:

Step-by-step explanation:

Opposite angles equal each other, so angle B and angle D are equal.

2x = 74

x = 37

Answer:

a. f(-1)=12

b. f(2t)=16t²-6t+5

c. f(t-2)=4t²-19t+27

Step-by-step explanation:

For a, b, c, we are given an input. We plug that into f(x) to find our answers.

a.  f(-1)=12

f(-1)=4(-1)²-3(-1)+5

f(-1)=4+3+5

f(-1)=12

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

b. f(2t)=16t²-6t+5

f(2t)=4(2t)²-3(2t)+5

f(2t)=4(4t²)-6t+5

f(2t)=16t²-6t+5

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

c. f(t-2)=4t²-19t+27

f(t-2)=4(t-2)²-3(t-2)+5

f(t-2)=4(t²-4t+4)-3t+6+5

f(t-2)=4t²-16t+16-3t+6+5

f(t-2)=4t²-19t+27

Complete question :

A test consists of 10 multiple choice questions. Each question has 5 choices. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, the probability of getting it right is 20%. What is the probability that the student will pass the test?

Answer:

0.006370

Step-by-step explanation:

Number of options = 5, with only one correct,hence, p = 1/5 = 0.2

Number of questions = 10

Number of correct answers required to pass = 6

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 0.2 ; 1 - 0.2 = 0.8

n = 10 ; x = 6

P(x ≥ 6) = p(6) + p(7) + p(8) + p(9) + p(10)

The formula above can be used to obtain the individual probabilities then taking the sum or we can obtain the solution using a calculator ;

Using a binomial probability distribution calculator with the parameters given :

P(x ≥ 6) = 0.0063693824

= 0.006370 ( 4 decimal places)

Answer: A 5$

b. He would need to sell 15 more hot dogs to earn 500$

Step-by-step explanation:

A. 425/85=5

B.500/5= 100

100-85= 15

Answer:

Cartesian product

Step-by-step explanation:

The Cartesian product of two sets, X and Y, denoted by X × Y, is the set of all ordered pairs (x, y), where x is an element of X and y is an element of Y: 8 (2.4.1) X × Y = { (x, y) ∣ x ∈ X ∧ y ∈ Y } For example, if Children = { Peter, Mark, Mary }, and Parents = { Paul, Jane, Mark, Mary }, then

Ahem, here goes, my attempt at a minute-long rap in praise of the parallelogram:

Yo, listen up, the parallelogram is where it's at,

A shape so brilliant, the angles are sat.

Parallel sides that never converge,

Internal angles that never diverge.

Each side an equal length,

A geometry prodigy's dream length.

The diagonals intersect, another line through the middle they meet,

Creating symmetry so neat.

A rectangle it could be,

But it's oblong, not square, can't you see?

With depth and width in perfect balance we see,

A two-dimensional form of complexity.

While the square is simple, the parallelogram is hip,

A mathematical masterpiece, skip, skip, skip!

four right angles keep the shape so tight,

Parallel lines dominate left and right.

Rotated or reflected without a care,

Its structural integrity beyond compare.

triangles form at each corner you'll note,

Acute or obtuse, depends on the protractor's groove.

A versatile shape with reason and purpose galore,

The parallelogram, simply, carries the floor.

From geometry to art, its angles they intrigue,

As a basis for patterns, its potential we can truly plug.

A forgotten form that deserves more acclaim,

Put the parallelogram on geometry's game!

This shape so underrated, rarely appreciated it seems,

But with logic and virtue, strong foundations it gleams.

The parallelogram, the parallelogram, Hooray!

This is why the parallelogram is the best shape, I say!

Answer:

24 and 9

Step-by-step explanation:

Hi there!

Let x be equal to the larger integer.

Let y be equal to the smaller integer.

1) Construct equations

2) Solve for one of the integer

Isolate x in the first equation

\(x+y=33\\x=33-y\)

Plug the first equation into the second

\(33-y=6+2y\)

Combine like terms

\(33-6=2y+y\\27=3y\\9=y\)

Therefore, the smaller integer is 9.

3) Solve for the other integer

\(x+y=33\)

Plug in y (9)

\(x+9=33\\x=33-9\\x=24\)

Therefore, the larger integer is 24.

I hope this helps!

The number of revolutions made by the wheel is 5.24 ≅ 5.  

One complete revolution is equal to 360 degrees, so to find the number of complete revolutions the wheel has made, we can divide the total number of degrees rotated by 360.    

Here we have

A wheel rotated by 1888°  

As we know One complete revolution is equal to 360 degrees

Hence, the angle can be rotated by the wheel in 1 rotate = 360°  

Let the wheel make 'x' revolution to make 1888°  

=> 360(x) = 1888

=> x = 1888/360

=> x = 5.24

Therefore,

The number of revolutions made by the wheel is 5.24 ≅ 5.    

Learn more about Revolutions at

https://brainly.com/question/6292216

#SPJ1

9514 1404 393

Answer:

  5.99%

Step-by-step explanation:

The relationship between the effective annual yield (e) and the nominal annual interest rate (r) compounded n times per year is ...

  e = (1 +r/n)^n -1

For r = 5.9% and n = 2, the effective rate is ...

  e = (1 +0.059/2)^2 -1 = 0.059870 ≈ 5.99%

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

Read more about feasible region at

https://brainly.com/question/29084868

#SPJ1

Answer:

C.

Step-by-step explanation: