Need help finding the volume and rounding to nearest whole number.

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

D) x = √5

Step-by-step explanation:

\(\sqrt{x^{2}+4 }-1 = 2\)

\(\sqrt{x^{2}+4 } = 3\)

\(x^{2}+4 = 3^{2} \)

\(x^{2}+4 = 9\)

\(x^{2} = 9 -4 \)

\(+x = \sqrt{5} , -x = \sqrt{5}\)

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

Rs. 4        (4 rupees)

Step-by-step explanation:

First you would want to find out the cost of each individual Kg of rice-flour. You could find this by dividing 800 by 10. <This equals 80.

This means that each Kg of flour costs 80 Rupees.

-----

Now you must find out how much each individual bag of flour sold for.

You could find this by dividing 840 by 10. <This equals 84.

----

Now to find the total profit PER bag of flour, you would find the difference of 84 and 80. So 84 - 80 = 4.

The profit per each bag of rice-flour would be 4 rupees. (Rs.)

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

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The measure of the hypotenuse of the right-angle triangle is 53.21 feet.

Given that:

Perpendicular, P = 50 feet

Angle, Ф = 70°

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The measure of the hypotenuse of the right-angle triangle is calculated as,

sinФ = P/H

sin 70° = 50 / x

x = 53.21 feet

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Answer:

  $28,342.54

Step-by-step explanation:

The value of an account earning compound interest is found using the formula ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

You have P=7000, r=0.12, n=2, t=12.

Using these values in the formula, we find the accumulated value of the investment to be ...

  A = 7000(1 +0.12/2)^(2·12) = 7000(1.06^24) ≈ 28,342.54

The value after 12 years is $28,342.54.

_____

Additional comment

The time-value-of-money functions of your calculator or spreadsheet can find this for you.

Answer:

D.

Step-by-step explanation:

Horror (12) + Comedy (15) = 27

Action(17) + Drama(6) = 23

27 > 23

The statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

The probability helps us to know the chances of an event occurring.

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

As is given that the total number of people surveyed is 50, while the table suggests the preferences of the people about the movie.

Therefore, if take the probability of a person watching a horror or comedy movie it will be,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

\(\rm Probability=\dfrac{\text{Number of people preferring Horror or comedy}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{12+15}{50} = 0.54\)

The probability of a person watching an action or drama movie it will be,

\(\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

\(\rm Probability=\dfrac{\text{Number of people preferring Action or drama}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{17+6}{50} = 0.46\)

Since the probability of a person watching a horror or comedy movie is more, therefore, a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

Thus, the statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.

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Answer:

the answer is= 2.5

Step-by-step explanation:

good luck!

Answer:

The slope is 2

Step-by-step explanation:

Using slope formula (y2-y1)/(x2-x1):

(8-2)/(9-6)

(6)/3

2

Answer:

3

Step-by-step explanation: took test edge

The radius of a sphere with a volume of 10000 cubic meters is 13.36 meters

We know that the formula for the volume of sphere is :

V = 4/3 × π × r³

where r is the radius of the sphere

Here, a volume of the sphere is 10000 cubic meters.

V =  10000 cubic meters

we need to find the radius 'r'

V = 4/3 × π × r³

10000 = 4/3 × π × r³

r³ = 10000 × 3/4 × 1/π

r³ = 30000/4π

r³  = 2387.32

taking cube root,

r = 13.36 meters

Therefore, the radius is 13.36 meters.

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Answer:

  665, 632, 600, 570, 542

Step-by-step explanation:

When the amount of decline is a percentage of the declining population, the sequence is described by an exponential function. The general form of the function is ...

  population = (initial value)×(1 -rate of change)^t

Using the given numbers, the function can be written ...

  f(t) = 700×0.95^t

The attached table shows the function values for the values of t given in your table.

_____

Using a suitable calculator, evaluation of the function is straightforward. For example, f(5) = 700(0.95^5) = 700(0.77378) ≈ 541.65 ≈ 542.

It is generally best to save the rounding step until the end, rather than computing each value from the previous rounded value. If you do these calculations in a spreadsheet, you can use cell formatting to show the result as an integer. You do not need the "round" function as part of the formula.

Answer:

f(1)=665, f(2)=632, f(3)=600, f(4)=570, f(5)=542

Step-by-step explanation

Acellus wants you to use Geometric Recursive to solve this formula. I would recommend rounding your answers last.

f(n)=f(n-1)x-0.05f(n-1)

your first f(n) value is your starting population, f(0)=700, plug this into your equation for the f(1) value.

f(1)=(700)x-0.05(700)

answer/next value 665

Repeat the previous step but with the answer as your new value for the rest of the equations below

f(2)=(665)x-0.05(655)

answer/next value 632

f(3)=(632)x-0.05(632)

answer/next value 600

f(4)=(600)x-0.05(600)

answer/next value 570

f(5)=(570)x-0.05(570)

final answer 542

Although this was brief, I hope it was helpful to you.

The graph of the function y = 1/3x - 2 is added as an attachment

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

So, the equation is

y = 1/3x - 2

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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Answer:

all of the above

Step-by-step explanation:

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

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Answer:

11

Step-by-step explanation:

2 dozen = 24

24-10=14

14-3=11

Answer:

11

Step-by-step explanation:

two dozens is 24 because one dozen is 12. 24-10=14-3=11

Answer:

its 86.06

Step-by-step explanation:

Because if you subtract 215.25 minus 60% thats what you get

Answer:

$12915

Step-by-step explanation:

The flux of the given sphere as calculated from the data is, flux= 5πa³/6.

We can use spherical coordinates for this sphere with radius r=ar =a.

The surface can then be described using the parametric equation as

r(θ,Ф)= acosθsinФi + asinθsinФj + acossθk

The partial derivatives of this parametric function with respect to its parameters are,

r ϕ​=acosθcosϕi+asinθcosϕj−asinϕk

r θ=−asinθsinϕi+acosθsinϕj

​

Therefore,

the cross product will be ,

ndσ=a²[cosθsin²ϕi+sinθsin²ϕj+sinϕcosϕk]dϕd

In these coordinates

F = 5zk = 5acosФk

therefore on integrating we get ,

flux= 5πa³/6

Flux is a physics term that refers to the number of electric or magnetic field lines that pass through a surface in a given amount of time. Field lines provide a visual representation of the magnitude and direction of the field being measured.

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​

Answer:

The radius of this sphere is \(3\).

Step-by-step explanation:

The volume of a sphere of radius \(r\) is:

\(\displaystyle V = \frac{4}{3}\, \pi\, r^{3}\).

The surface area of a sphere of radius \(r\) is:

\(A = \pi\, (2\, r)^{2}\).

Equate the right-hand side of these two expressions and solve for \(r\):

\(r = 3\).

In other words, the radius of this sphere is \(3\).

Answer:

The value after 0 years = $ 800

The value after 1 year = $600

The value after 2 years = $450

The value after 3 years = $337.5

The value after n years = computer cost at (n-1) year -

Step-by-step explanation:

We can conclude that -

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that a computer cost $800. It loses 1/4 of its value every year after it is purchased.

We can write the equation representing the value {v} of the computer,

years after it is purchased as -

v{x} = 800(1/4)ˣ

For {x} = 5, we can write -

v{5} = 400(1/4)⁵

v{5} = 400 x 0.0009765625

v{5} = 0.39

Therefore, we can conclude that -

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There is evidence of a positive association between liking rock and liking rap as this can be seen from the fact that a larger proportion of students who like rock also like rap.

When the values of two variables tend to rise together, this is referred to as a positive association between the two variables. When the values of one variable tend to fall as the values of the other variable rise, there is a negative relationship between the two variables.

There is proof that liking rap and liking rock are positively correlated. The fact that more pupils who enjoy rock also like rap (27 out of 33, or 81.8%) than those who don't like rock (17 out of 21, or 80.9%) demonstrates this.

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54 students from a local high school were asked two questions about musical preferences: “Do you like rock?” “Do you like rap?” The responses are summarized in the table below. Is there evidence of a positive association between liking rock and liking rap

likes rap doesn't like rap

likes rock 27 6

doesn't like rock 4 17

This is a perfect Square

486 x 486 = 236,196

The distance between Ray-Ann and Steve, using the law of cosines, is given as follows:

11.5 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

The parameters of the equation are given as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the distance between Ray-Ann and Steve is obtained as follows:

c² = 6²+ 7² - 2 x 6 x 7 x cos(124)º

c² = 132

c = square root of 132

c = 11.5 feet.

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Answer:

B

Step-by-step explanation:

288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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The degree of a polynomial function with the leading term 7\(x^{5}\)  is 5.

A variable in an equation, such as a quadratic equation or cubic equation, is said to be polynomial if it only contains the positive integer exponents or non-negative integer powers. For instance, the polynomial 3x+5 has an exponent of 1.

What is degree?

The highest degree among the polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics.

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the term of this polynomial is 5.

degree of the polynomial is the highest degree of any of the terms; in this case, it is 5.

Hence, polynomial function with leading term 7\(x^{5}\) has a degree of 5.

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The options equivalent to the given fraction are:   -11 ÷ 4,  -11 ÷(- 4), \(\frac{-11}{4}\) , \(\frac{11}{-4}\)

\(-\frac{11}{4}\) is an improper fraction. An improper fraction is a fraction in which the numerator is larger than the denominator.  \(\frac{-11}{4}\) can also be written as -11 ÷ 4.

In order to determine the answers, take note of the following rules:

Using the above rules, the equivalent options are:  -11 ÷ 4,  -11 ÷(- 4), \(\frac{-11}{4}\) , \(\frac{11}{-4}\)

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The first, second, fourth, and fifth options among all are equivalent to \(\frac{-11}{4}\).

These all are forms of division.

The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.

The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.

Hence, the first, second, fourth, and fifth options are correct.

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