You owe $561.54 on your credit card. The minimum payment is $45.00 and the interest rate on the credit card is
1.5%. What is the new balance?

Answer:

7.36 sq ft

The answer is 7.36

Answer:

A = 10 \(\frac{1}{12}\) ft²

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = length × width

   = 3 \(\frac{2}{3}\) × 2 \(\frac{3}{4}\) ( change to improper fractions )

  = \(\frac{11}{3}\) × \(\frac{11}{4}\)

  = \(\frac{11(11)}{3(4)}\)

  = \(\frac{121}{12}\)

  = 10 \(\frac{1}{12}\) ft²

The statement "If |x| = 6, then x can only be equal to 6" is false.

The absolute value of a number represents its distance from zero on the number line.

The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.

In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.

Hence, x is not limited to being equal to only 6.

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The best way Antonio's budget can be modified to help him save enough is D. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit

A budget is an estimate of revenue and expenses for a given period of time that is usually compiled and re-evaluated on a regular basis. A budget expresses intended expenditures as well as recommendations for how to meet them with resources.

Saving is the portion of one's income that is not spent on current expenses. In other words, it is money set aside for future use rather than being spent immediately. An expense is a cost incurred by businesses in the course of their operations. Wages, salaries, maintenance, rent, and depreciation are expenses.

In this case, the way to reduce the budget is illustrated.

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Answer:

x = 4

Step-by-step explanation:

2x = 4x - 8

subtract 2x from both sides of the equation

2x - 2x = 4x - 2x - 8

0 = 2x - 8

add 8 to both sides of the equation

0 + 8 = 2x - 8 + 8

8 = 2x

divide both sides of the equation by 2

8/2 = 2x/2

4 = x

Answer:

52= 8×(4+5)-20

so I guess it's correct

Answer:

2

Step-by-step explanation:

408 / 4 = 102

48c + 6 = 102

48c = 102 - 6

48c = 96

c = 96/48

c = 2

Hence, the value of c is 2.

Answer:

\( \sf \: c = 2\)

Step-by-step explanation:

Given equation,

→ 48c + 6 = 408 ÷ 4

Now the value of c will be,

→ 48c + 6 = 408 ÷ 4

→ 48c + 6 = 102

→ 48c = 102 - 6

→ c = 96 ÷ 48

→ [ c = 2 ]

Hence, the value of c is 2.

Answer:2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Binomial is a factor of the polynomial.

Answer:

64.9 and 40.25

Step-by-step explanation:

I think that that is correct.

Hope that it helps though!

As the figure is made for 6 squares, the total area of the figure divided into 6 is the area of one square:

The area of one square is 15 square feet.

The area of a square is equal to the square lenght

Then, as the given squares have area of 15 square feet the measure of the lenght of one square is:

Then, as each side of each square is square root of 15 feet you have the next:

The perimeter of the figure is the sum of all the sides: The figure has 12 sides: 2 sides have a measure of 2square root of 15 feet and the other 10 sides have a measure of square root of 15 feet:

From the odd function, the table is completed as follows:

For this problem, we have that it is an odd function, then:

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Answer:

25

Step-by-step explanation:

2x-5 = x + 20

x = 25

Answer:

Net force: 14 kilograms

Acceleration: 2 Newtons

Step-by-step explanation:

False. The statement is incorrect. Unlike the z distribution, the t-distribution is not symmetric around 0, and its tails do not approach the horizontal axis and cross it.

The t-distribution is similar to the normal (z) distribution in the sense that it is bell-shaped. However, there are important differences. The t-distribution is not symmetric around 0 but is centered at 0. It has a shape that depends on its degrees of freedom (df). As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution (z-distribution).

The tails of the t-distribution are thicker than the tails of the z-distribution. The t-distribution has more probability in the tails, which means it has more extreme values compared to the z-distribution. As the degrees of freedom increase, the t-distribution approaches the normal distribution, and its tails become closer to the horizontal axis, but they do not cross it.

It's important to note that the shape and characteristics of the t-distribution are determined by the degrees of freedom. As the degrees of freedom increase, the t-distribution becomes more similar to the z-distribution. However, even with large degrees of freedom, the t-distribution will always have slightly thicker tails than the z-distribution.

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Answer:

A is false, B is true, C is true, D is true, E if false, T is true,.

Step-by-step explanation:

From the problem 5-8  person should include 5 and 8.

There are 5-8 people including her

So A is false and B is true

Two cups of lemonade for each person So C is true.

4 scoops for each quart of water each quat = 4 cups hence D is ture

5≤n ≤8  so 2x5≤c≤2x8   10≤c≤1b so E is false

1=c  10≤1≤16 so T is true

Answer:

3 ft 3 in

Step-by-step explanation:

The radius is half the diameter.  

If the diameter is 6 ft 6 in, then the radius is 3 ft 3 in.

Answer:

A) 10

Step-by-step explanation:

12 Lollipops - 2 = 10 Lollipops

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

a. 63 °F

b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.

Step-by-step explanation:

a. To model this situation, we assume the temperature varies inversely as elevation decreases since at elevation 6288 ft the temperature is 56 °F and at elevation 2041 ft, the temperature is 87 °F

So, we model this as a straight line.

Let m be the gradient of the line.

Let the (6288 ft, 56 F) represent a point on the line and (2041 ft, 87 °F) represent another point on the line.

So m = (6288 ft - 2041 ft)/(56 °F - 87 °F) = 4247 ft/-31 °F = -137 ft/°F

At elevation 5376 ft, let the temperature be T and (5376 ft, T) represent another point on the line.

Since it is a straight line, any of the other two points matched with this point should also give our gradient. Since in the gradient, we took the point (6288 ft, 56 °F) first, we will also take it first in this instant.

So m = -137 ft/ °F = (6288 ft - 5376 ft)/(56 °F - T)

-137 ft/°F = 912 ft/(56 °F - T)

(56 °F - T)/912 ft = -1/(137 ft/ °F)

56 °F - T = -912 ft/(137 ft/°F)

56 °F - T = 6.66 °F

T = 56 °F + 6.66 °F

T = 62.66 °F

T ≅ 62.7 °F

T ≅ 63 °F to the nearest degree

b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.

\(area = l \times w \\ area = 34 \times 17 \\ area = \: 578 {mm}^{2} \)

\(Area \: of \: the \: triangle = ½× width×height. \\ area \: = \frac{1}{2} \times 34 \times 6 \\ area = 34 \times \frac{ {\cancel6} {}^{ \: \: 3} }{ \cancel2} \\ area = 34 \times 3 \: {mm}^{2} \\ area = 102 {mm}^{2} \)

\(volume \: = area \: \times length \\ vol = 102 \times 17 \: \: {mm}^{3} \\ vol \: = 1734{mm}^{3} \)

Answer:

1734 mm² = volume

\( \\ \\ \\ \\ \)

Answer:

3.84m

Step-by-step explanation:

If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.

32cm * 12 = 384cm

1 cm is equal to 0.01 m , therefore we now have to multiply the depth of the actual water tower which is in cm by 0.01 to get the actual depth in meters

384 * 0.01 = 3.84m

The function f(x) is given by x^3-6x^2-13x-3. The function f(x) is equal to x^2 - 15x - 13 when divided by x + 1, with a remainder of -3.

The quotient of f(x) divided by x+1 is x^2-7x-6. This means that the function f(x) can be written as the product of x+1 and another polynomial, which we will call g(x).

We can find g(x) using the Remainder Theorem. The Remainder Theorem states that if a polynomial f(x) is divided by x-a, then the remainder is f(a). In this case, when f(x) is divided by x+1, the remainder is -3. So, g(-1) = -3.

We can also find g(x) using the fact that the quotient of f(x) divided by x+1 is x^2-7x-6. This means that g(x) must be of the form ax^2+bx+c, where a, b, and c are constants.

Substituting g(-1) = -3 into the equation g(-1) = a(-1)^2+b(-1)+c, we get -3 = -a+b+c. Solving this equation, we get a=-1, b=-6, and c=-3.

Therefore, g(x) = -x^2-6x-3. The function f(x) is then given by (x+1)g(x) = x^3-6x^2-13x-3.

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Answer:

A line parallel to the y-axis in the (x, y) coordinate plane is undefined.

Step-by-step explanation:

We know that the slope of a vertical line on a coordinate plane is undefined.

We also know that a line parallel to the y-axis is basically a vertical line.

Therefore, a line parallel to the y-axis in the (x, y) coordinate plane is undefined.

EXAMPLE

For example, considering the two points of a line

(x₁, y₁) = (1, 3)

(x₂, y₂) = (1, 5)

Determining the slope between (1, 3) and (1, 5)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

              =  [5 - 3] / [1 - 1]

               = 2/0

               = ∞ or undefined

Thus, the slope of the line = m = undefined

Thus, the equation of a line parallel to y-axis passing through the points (1, 3) and (1, 5) will be:

Please also check the attached graph.

a. all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C. b. the particular solution is y = x + x = 2x. c. There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.

(a) To verify that y = x + Cx, x = -C and C = 0 is a general solution, we substitute y = x + Cx into the differential equation:

dxdy = x*(x + Cx) - (x + Cx)^2 = x^2 - C^2x^2

The right-hand side simplifies to (1 - C^2)x^2, which is a function of x only. Therefore, y = x + Cx is a solution for any value of C, including C = 0.

To show that all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C.

(b) To find the particular solution that passes through (1,2), we plug in x = 1 and y = 2 into the general solution:

y = x + Cx

2 = 1 + C*1

C = 1

So the particular solution is y = x + x = 2x.

To find dxdy at (0,0), we take the derivative of y with respect to x:

dxdy = 2

(c) To find the vertical asymptotes, we look for values of x such that the denominator of y' (which is y^2 - x^2) becomes zero. This occurs when y = x or y = -x. Thus, the lines y = x and y = -x are vertical asymptotes.

There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.

(d) The particular solution that passes through (1,2) is a straight line with slope 2, passing through the point (0,0). To sketch both branches of this curve, we extend the line through the origin in both directions.

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The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;

2x + 5y ≤ 10 (Equation 1)

10x + 6y ≤ 42 (Equation 2)

We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.

a. x= 6, y = 2

In Equation 1:2x + 5y = 2(6) + 5(2) = 17

In Equation 2:10x + 6y = 10(6) + 6(2) = 66

Thus, this point does not satisfy equations 1 and 2 simultaneously.

b. x=6, y=4

In Equation 1:2x + 5y = 2(6) + 5(4) = 28

In Equation 2:10x + 6y = 10(6) + 6(4) = 72

Thus, this point does not satisfy equations 1 and 2 simultaneously.

c. x=2, y = 1

In Equation 1:2x + 5y = 2(2) + 5(1) = 9

In Equation 2:10x + 6y = 10(2) + 6(1) = 26

Thus, this point does not satisfy equations 1 and 2 simultaneously.

d. x=2, y = 6

In Equation 1:2x + 5y = 2(2) + 5(6) = 32

In Equation 2:10x + 6y = 10(2) + 6(6) = 52

Thus, this point does not satisfy equations 1 and 2 simultaneously.

e. x = 5, y = 0

In Equation 1:2x + 5y = 2(5) + 5(0) = 10

In Equation 2:10x + 6y = 10(5) + 6(0) = 50

Thus, this point satisfies both equations simultaneously.

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The required point (1,2) is not in the solution set of the system of inequalities.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
To graph the system of inequalities 4x-y < 2 and 2y + 3x ≤ 14, we can follow these steps:

To determine if point (1,2) is in the solution set, we can simply check if it satisfies both inequalities.

For the first inequality, 4x-y < 2, we can substitute x=1 and y=2 to get 4(1) - 2 < 2, which is false.

For the second inequality, 2y + 3x ≤ 14, we can substitute x=1 and y=2 to get 2(2) + 3(1) ≤ 14, which is also true.

Therefore, point (1,2) is not in the solution set of the system of inequalities.

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Answer:

324

Step-by-step explanation:

Answer:

0.45 for one can of soda

Step-by-step explanation:

If you want to know the price for one soda all you have to do is divde.

12 ÷ 5.40 = 0.45

So, one soda can is $0.45! Have a great day friend! :D

Answer:

4 x 2 x 3.14 = 25.12

Step-by-step explanation:

Formula of circumference:

2(just use this number whenever finding circumference) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius(half of your diameter or your given radius).

2πr