If there is inverse variation and y=-4 when x=14 find x when y=28

Answer:

To calculate the total amount Tyler will have paid to the bank, you can use the formula for simple interest:

I = Prt

Where:

I = Interest (the amount Tyler will pay to the bank)

P = Principal (the original amount borrowed)

r = Interest rate (expressed as a decimal)

t = Time (in years)

Plugging in the given values, we have:

I = 42,000 * 0.05 * 15

I = 42,000 * 0.75

I = 31,500

So, Tyler will have paid a total of $31,500 in interest to the bank once he paid the loan back in full after 15 years.

Answer:

Step-by-step explanation:

we’ll I don’t know if this is right but I will try my best first I divide what ever I have then divide or multiply it by the next number

Answer:

There are 98 blue tiles.

Step-by-step explanation:

-this question is solved by proportions, using a rule of three

-For every 18 red tiles used, 7 blue tiles are used, hence, adding 18 and 7 gives you the total tiles, 7 are blue. How many blue tiles are there out of 425?

The rule of three is:

7 blue- 25 total

x blue- 350 total

Applying cross multiplication:

[tex]25x= 7(350)[/tex]

[tex]x=\frac{7(350)}{25}[/tex]

[tex]x= 98[/tex]

The potential roots of f(x) = 3x³ - 13x² - 3x + 45 are given as follows:

A. +1/3

B. +5

C. +5/3

D. +9

E. +1

F. +15

G. +3

To obtain the possible rational zeros of the function, we use the Rational Zero Theroem.

The rational zero theorem states that all the possible rational zeros of a function are given by plus/minus the factors of the constant by the factors of the leading coefficient.

The parameters for this function are given as follows:

The factors are given as follows:

Hence the possible roots are given as follows:

±1/3, ±1, ±3, ±5, ±5/3, ±9, ±5, ±15.

More can be learned about the rational zeros theorem at brainly.com/question/28782380

#SPJ1

The set of values of k for which the curve y = (k + 1) x² - 3x + (k + 1) lies below the X axis is k > 1/2 and k < -5/2.  

Quadratic functions are polynomial functions of second degree.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given function is y = (k + 1) x² - 3x + (k + 1).

If the curve lies below the X axis, then the curve will not touch the X axis.

This means that, there will be no zeroes for the quadratic function.

So the discriminant will be negative.

Discriminant = [tex]\sqrt{b^{2}-4ac }[/tex] , for f(x) = ax² + b x + c.

So, for the function given,

Discriminant = [tex](-3)^{2} -[4*(k+1)*(k+1)][/tex]

                     = [tex]9-4(k+1)^{2}[/tex]

                     = 9 - 4(k² + 2k + 1)

                     = 9 - 4k² - 8k - 4

                     = -4k² - 8k + 5

-4k² - 8k + 5 < 0

4k² + 8k -5 > 0

Find the zeroes of 4k² + 8k - 5.

Zeroes are, k = [ -8 ± [tex]\sqrt{8^2-(4*4*-5)}[/tex] ] / (2 × 4)

                      = [ -8 ± [tex]\sqrt{144}[/tex] ] / 8

                      = [-8 ± 12] / 8

Zeroes are k = 4/8 = 1/2 and k = -20/8 = -5/2

4k² + 8k -5 = 0 when k = 1/2 and k = -5/2

4k² + 8k -5 > 0, when k > 1/2 and k < -5/2

Hence the values of k are k > 1/2 and k < -5/2 for which the function lies below the X axis.

Learn more about Quadratic Functions here :

https://brainly.com/question/27958964

#SPJ1

Answer:

Below

Step-by-step explanation:

It goes UP from -20 but does not include -20 ( due to the hollow dot) and it is less than or equal to 30 :

-20< x <= 30

Answer:

Step-by-step explanation:

before the discount is $25

tax  rate 7.5%

set books price as X

X×(1+7.5%) = 25

X = 23.25

lets say the subtotal price already apply the discount rate

(X×(1-12%))×(1+7.5%)=25

x= 26.42

no answer match you given

Answer:

the lcm of 14 10 and 3 is 210

Answer:

a) The area of the rectangle is given by the product of its length and width. Thus:

Area = (4x - 3) * 2

Area = 8x - 6

b) The perimeter of a rectangle is the sum of the lengths of all four sides. The perimeter of this rectangle can be expressed as:

Perimeter = 2 * (length) + 2 * (width)

Perimeter = 2 * (4x - 3) + 2 * 2

Perimeter = 8x - 6 + 4

Perimeter = 8x

Relation 1: Function

No input in the domain is used more than once.

Relation 2: NOT a function

Input of 2 is used more than once, so it has two outputs for that one input.

Relation 3: Function

No x-value is repeated.

Relation 4: Function

No x-value is repeated.

The value of d when p = 28 is 12. The solution has been obtained by using the concept of proportions.

What is proportion?

A comparison of two numbers mathematically is called a proportion. Two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio, according to the law of proportion.

We are given that p varies directly with d.

This means that they are directly proportional to each other.

When d = 3, then p = 7

So, when p = 28, then d is

⇒d/28 = 3/7

⇒d = 3*4

⇒d = 12

Hence, the value of d when p = 28 is 12.

Learn more about proportions from the given link

https://brainly.com/question/870035

#SPJ1

The standardized score of each outcome is 3.85.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by;

z = (x - μ)/σ

Where x is raw score, μ is mean and σ is standard deviation.

Given that;

μ = 23, σ = 3.9, hence for a score x = 38:

Now, substituting the values;

z = (38 - 23) / 3.9 = 3.85

z= 15/3.9

z=3.85

Therefore, the answer will be z score of 3.85;

Find out more on Z score at;

brainly.com/question/25638875

#SPJ1

The variable is x, the coefficient is 5, and the constant is -8 and 12.

A linear algebraic equation is an equation whose degree of the highest variable is 1. In an algebraic equation, we have variables, coefficients, and the constant.

An algebraic equation may be expressed as ax + b = 0 or ax + by + c = 0, where a, b, and c are real integers and x and y are variables with a maximum degree of one.

In 5x - 8 = 12

The variable is x, the coefficient is 5 i.e. the number prior(before) the variable, and the constant is -8 and 12.

Learn more about the terms in an algebraic expression here:

https://brainly.com/question/4344214

#SPJ1

The function that represent the function g(x) is g(x) = f(x) + 4.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The graph of the function f(x) is given.

We know that, a linear function in slope intercept form can be represented as, y = mx + d, where m is slope and d is the y intercept.

y intercept is the y coordinate of the point where the line touches with the Y axis. At this point x coordinate is 0.

From the graph, we have f(x) = y = -1 when x = 0.

So y intercept, d = -1

Take two points from the graph (1, 0) and (0, -1).

Slope, m = (-1 - 0) / (0 - 1) = -1 / -1 = 1

f(x) can be represented in slope intercept form as f(x) = x - 1

We have a second function g(x) from the transformation of f(x).

y intercept of g(x) = 3

f(x) + 4 = x - 1 + 4 = x + 3 which can be g(X), since y intercept is 3.

Hence g(x) = f(x) + 4 is the function that represents the transformation of f(x) with y intercept 3.

Learn more about Slope here :

https://brainly.com/question/19131126

#SPJ1

If A and B matrices have linearly independent column vectors, then the column vectors of C = AB will also has linearly independent column vectors.

Linearly independent vectors are defined when there exists no non-trivial linear combination of the vectors that equals the zero vector. We have, A∈ Rᵐ × Rⁿ and B∈ Rⁿ × Rʳ and C = AB . If both A and B both have linearly independent column vectors. So, A and B are invertible matrix . Then, Cᵀ = Aᵀ Bᵀ where the column vectors of A and B are row vectors of Aᵀ and Bᵀ matrices respectively. Also, the independence of A and B implies the independence of Aᵀ and Bᵀ. As we see Cᵀ = Aᵀ Bᵀ ,then Cᵀ is linearly independent. That means C is invertible matrix . So, the columns of matrix C is also be linearly independent.

To learn more about linearly independent vectors, refer:

https://brainly.com/question/10725000

#SPJ4

Answer:

3/8

Step-by-step explanation:

0.375 im hoping thats correct good luck

There is no solution to the problem because both a and b have values.[tex]a = 10 , b\neq -8[/tex] .

The definition of an equilibrium in algebra is a statistical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A.[tex]a = 10 , b\neq -8[/tex]

B.[tex]a= 10 , b= -8[/tex]

Consider the equation

[tex]2(5x-4)= ax + b.[/tex]

A. When the coefficient at x are the same but the unbound coefficients are different, the equation has no solutions.

First, use distributive property:

[tex]2(5x-4)= 10x - 8[/tex]   (by solving )

So, the equation is

[tex]10x - 8 = ax + b.[/tex]

This equation has no solutions when

[tex]a = 10 , b\neq -8[/tex]

B. The equation has infinitely many solutions when the coefficients at x are the same and the free coefficients are the same too.

So, the equation

[tex]10x - 8 = ax + b[/tex]

has infinitely many solutions when

[tex]a= 10 , b= -8[/tex]

In some situations, the formula has a singular solution.

To know more about Equation visit :

https://brainly.com/question/13508561

#SPJ1

The total tax that the employee is liable for paying will be $17,836 if the taxpayer declares $100,000 as income on the finished Form 1040.

An income range that is subject to a particular income tax rate is referred to as a tax bracket. A progressive tax system includes tax brackets, which indicates that when an individual's income increases, the amount of the tax rates increases gradually. Tax rates for low-income taxpayers are generally low, whereas those for high-income taxpayers are often higher.

For instance, a single filer in 2022 with $100,000 in taxable income will pay $17,836 in taxes, or an average tax rate of 18%. Your effective marginal tax rate, however, is 24%. As a result, the employee is accountable for paying a total of $17,836 in taxes.

Read more about tax bracket

brainly.com/question/29196852

#SPJ1

Ken's age can be calculated as follows: x x x = maximum target heart range − - − resting heart rate x = 139 − 73 = 66 x = 139 - 73 = 66 x=139−73=66.

Based on your age, you may calculate your maximum heart rate. Subtract your age from 220 to get a ballpark idea of your maximal age-related heart rate.

For instance, the predicted maximum age-related heart rate for a 50-year-old person would be computed as 220 - 50 years = 170 beats per minute (bpm).

15 seconds are needed to take your pulse. For beats per minute calculation, multiply this number by 4.

The highest rate is determined by deducting your age from 220. Therefore, the maximum heart rate for a 50-year-old is 220 minus 50, or 170 beats per minute.

Therefore, at a 50% level of effort, your goal would be 50% of that maximum, or 85 beats per minute.

Learn more about heart rate here:

https://brainly.com/question/1155838

#SPJ1

The number of possible ways in which 3 beds, 1 desk and 4 dressers can be arranged are 12.

Given is that green family is selecting a furniture set there are 3 beds 1 desk and 4 dressers.

The total number of possible ways in which 3 beds, 1 desk and 4 dressers can be arranged are -

{x} = 3 x 4 x 1

{x} = 12

Therefore, the number of possible ways in which 3 beds, 1 desk and 4 dressers can be arranged are 12.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

Correct Answer:

Ali keeps his shop open for 13 hours straight.

Correct Step-by-step explanation:

Well that is that! Can't say anything about it....

It is simple babyish counting that you should learn too!

Hope this helped you count!

P.S: BRAINLIEST IS REQUIRED

Answer:

Below

Step-by-step explanation:

In simplistic wording in this question, a term is a letter associated with a number

I see an m, i, s, and p in the equation. 4 different letters, so there are 4 different terms

Coefficients are the numbers associated with the term.

Counting left to right, The third one in the equation is 10s. That means the coefficient is 10

The equation of the line passing through (2, 3) and (-1, -1). is 3y = 4x + 1

An equation is an expression that shows how two or more numbers and variables are related to each other. Types of equations can either be linear, quadratic or cubic

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear function is:

y = mx + c

m is the rate of change and b is the y intercept

The graph passes through (2, 3) and (-1, -1). Hence:

y - 3 = [(-1-3)/(-1-2)] (x - 2)

y - 3 = (4/3)(x - 2)

multiply through by 3:

3y - 9 = 4(x - 2)

3y - 9 = 4x - 8

3y = 4x + 1

The equation of the line is 3y = 4x + 1

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The number of labor hours required to install the ceiling is 24.528 labor hours.

What is ceiling?

Ceiling is the overhead surface of a room, typically flat and finished with paint, wallpaper, or tiles. It is the highest point or top part of a room, and can be made up of different materials including drywall, plaster, tiles, or even wood. Ceilings also help to separate the room from the outside air and create a space that is more comfortable and insulated. Ceilings can be used to add visual interest to a room, as they can be decorated with different colours and textures. Ceilings can also be used to conceal mechanical and electrical systems, such as wiring, piping, and ductwork.

The number of labor hours required to install the ceiling is 24.528 labor hours. This is determined by multiplying the area of the ceiling (1,856 square feet) by the productivity rate (0.013 labor hours per square foot) and then multiplying that result by the productivity factor (0.95).

1,856 square feet x 0.013 labor hours per square foot x 0.95 productivity factor = 24.528 labor hours.

To learn more about ceiling

https://brainly.com/question/20137038

#SPJ1

The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.

The function is f(x)= e^x + 1/3x

To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.

Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.

Which is equal to f(11) = e^11 + 11/3

f(11) = 59874.141715198 + 3.6666666667

f(11) = 59877.808381865

f(11) ≈ 59877.808

To know more about function, here

https://brainly.com/question/5975436

#SPJ4

The expression 3 ^ 2 * 3 ^ −5   equivalent to  is  1 / 27  .

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression,

3 ^ 2 * 3 ^ −5

so,

3 ^ 2 * 3 ^ −5

=3 ^2 / 3 ^5

we know that a^m * a ^n  = a ^ ( m+n )

so we get,

= 3 ^ ( 2-5 )

= 3 ^ -3

= 1 / 3 ^3

Therefore, The expression 3 ^ 2 * 3 ^ −5   equivalent to  is 1 / 27  .

To learn more about Algebraic expression from given link.

https://brainly.com/question/953809

#SPJ1