Josephine started to watch a movie the movie starts at 18:30 the movie was 1 hour and 53 minutes long but part way through it she paused it for 16 minutes what time did the movie end?

a. Harold's monthly payment is given as follows: $164.13.

b. The total amount paid is given as follows: $9,847.8.

c. The finance charge is of: $847.8.

The monthly payment formula is defined as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which the parameters are listed as follows:

The values of these parameters for this problem are given as follows:

P = 9000, r = 0.036, n = 5 \times 12 = 60.

Then:

r/12 = 0.036/12 = 0.003.

Then the monthly payment is calculated as follows:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 9000\frac{(0.003)(1.003)^{60}}{(1.003)^{60} - 1}[/tex]

A = $164.13.

Then the total amount paid is of:

Total = 60 x 164.13 = $9,847.8.

Meaning that the finance charge is given as follows:

9847.8 - 9000 = $847.8.

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Answer:

True

Step-by-step explanation:

The point [tex](0,3)[/tex] lies on the graph.

The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

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The expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

What is the area of the trapezium?

The formula for the area of a trapezium is A = h(c + d)/2, where h is the height of the trapezium, c is the length of one of the bases, and d is the length of the other base.

To find an expression for c in terms of A, h, and d, we can start by rearranging the formula to solve for c:

A = h(c + d)/2

2A = h(c + d)

2A/h = c + d

c + d = 2A/h

Then, we can subtract d from both sides of the equation to solve for c:

c = (2A/h) - d

Hence, the expression that represents c in terms of A, h, and d would be c = (2A/h) - d.

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The equations found for the number of tickets sold when 22 tickets are sold on Monday and 30 per day after are sold by Madelyn, and 53 tickets are sold on Monday and 20 per day after that are;

Tickets sold by Madelyn is; y = 22 + 30·x

Tickets sold by Kaia is; y = 53 + 20·x

A system of equation obtained from the details in the question can be presented as follows

y = 22 + 30·x...(1)

y = 53 + 20·x...(2)

The appropriate method for solving the system is to equate equivalent values of one of the variable obtained from each equation in the system.

The solution of the system of equation is; x = 3.1, which indicates that it takes about 3.1 days for the number of tickets sold by Madelyn and Kaia to be equivalent.

An equation consists of two expressions that are joined by the 'equals to' (=) sign.

The number of tickets for the Winter Dance Madelyn sold = 22

Number of tickets per day Madelyn sold after that = 30 per day

Number of tickets Kaia sold on Monday = 53

Number of tickets per day Kaia sold after that = 20 per day

Let x represent the number of days since Monday, and let y represent the number of tickets sold

Therefore;

The number of tickets Madelyn sold, y = 22 + 30·x

The number of tickets Kaia sold, y = 53 + 20·x

The system of equations from the specified information is the equation for the number of tickets Madelyn sold and the number of tickets Kaia sold combined, which can be presented as follows;

y = 22 + 30·x...(1)

y = 53 + 20·x...(2)

The method of solving the equations is by plugging in the value of y from equation (1) in equation (2), as follows;
22 + 30·x = 53 + 20·x

30·x - 20·x = 53 - 22 = 31

10·x = 31

x = 31 ÷ 10 = 3.1

The meaning of the solution of the system of equation, x = 3.1, is that the number of days for the number of tickets sold by Madelyn and Kaia to be the same is about 3 days

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The number of quizzes still need to be graded is 17quizzes.

There are many different ways to define an equation. In terms of algebra, an equation is a claim that demonstrates the equality of two mathematical expressions.

For instance, the two equations 5x + 4 and 16, which are separated by the 'equal' sign, make up the equation 5x + 4 = 16.

Algebraic equations in mathematics frequently have one or more variables.

It is given that,

grades of the teacher out of 48 quizzes before school = 16

grades of the teacher of the remaining quizzes after school = 15

Let us assume 'X' as the number of quizzes still need to be graded.

then X= 48-16+15

          =48-31

          =17

Hence, The number of quizzes still need to be graded is 17quizzes.

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The number of quizzes still need to be graded is 17 quizzes.

   then X= 48-=48-31

    =17

Hence, The number of quizzes still need to be graded is 17 quizzes.

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Answer:

volume of cube= l^ 3

=(4x)^3

=64x^3 cubic units

Answer:

Step-by-step explanation: To solve the problem, we can use the given information to set up a system of equations and solve for the values of $x$ and $y$. Specifically, we are given that one number is 4 less than 3 times a second number, and that two times the first number decreased by two times the second is 8.

Let $x$ represent the larger number, and $y$ represent the second number. We can write the given information as a system of equations as follows:

x &= 3y - 4

2x - 2y &= 8

Solving this system of equations, we find that $x = 12$ and $y = 2$. Therefore, the value of the larger number is 12

Answer:

All Real Numbers

Step-by-step explanation:

I assume you are solving for x.
The Interval Notation would be: (-∞,∞)

Answer:

144cm²

Step-by-step explanation:

If the square is perfectly even on all sides, the you first need to divide 48 by 4, as a square has 4 sides.

48/4 = 12cm

Then, to find the area, you need to multiply 12 by 12.

12 cm x 12 cm = 144cm²

Hope this helps :)

The equation Sharon can use to find c, the average amount the cable company charges per channel is 300(c - 0.20) = 180.

The cable company charges an average of $0.80 per channel.

An equation involves two expressions or statement on two sides connected with an equal sign.

Total number of channels = 300

Let c be the cable company charges per channel.

Then the charge satellite company charges per channel = c - 0.20

Monthly charge of satellite company = 300(c - 0.20)

Monthly satellite bill = $180

So,  300(c - 0.20) = $180

⇒ c - 0.20 = 180/300

⇒ c - 0.20 = 0.60

⇒ c = 0.60 + 0.20

⇒ c = 0.80

Hence the equation used to find the cable company charge per channel is 300(c - 0.20) = 180 and the cable company charge per channel is $0.80.

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An angle is outside a circle if its vertex is outside the circle and its sides are tangents or secants. Here the angle is formed by two tangents,

The value of x is 80°.

The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency.

As we know that the complete angle of the circle is 360°

The answer for x° is 360° - 260° = 100°

⇒ 260°- 100° = 160° now,

⇒ 160°/2 = 80°

∴ x = 80°

Hence, for the given two tangents formed the answer for x° = 80°

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Integer values of x in the interval [-4, 2] that satisfy the following Inequality: 4x + 5 < -6 are -4 and -3.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

A sign of inequality can be used to show that one of the two variables is larger than, more than or equal to, less than, or equal to another value.

Income gap, gender inequality, access to health care, and social class are some of the most prominent instances of social inequality.

Given the inequality:

4x + 5 < -6

Therefore the all values of x which satisfy the given inequality on the interval [-4,2].

So, x= -4 and x= -3

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Age, BMI, creatinine, and the amount of time between conception and death are a few examples of quantitative characteristics.

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The sample mean is -0.0417 standard deviations from the population mean.

Standard deviation is a measure of the dispersion or spread of a set of data.

The mean, also known as the arithmetic mean or average, is a measure of the central tendency of a dataset.

(sample mean - population mean) / standard deviation

Plugging in the values from the problem, we get:

(245.05 - 246) / 3.60 = -0.15 / 3.60 = -0.0417

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The maximum number changes of direction (turning points) = 3

What is Direction?

The direction of an object's motion or tendency is indicated by its direction.

The main directions are East, South, West, and North.

Concept:

Not every cubic function has a definite turning point. but their are 3 turning point and depends upon the type of the cube

The first derivative of the function becomes zero and the second derivative might either be positive or negative at a turning point of the function.

The function would not have a turning point if the set of real numbers containing the roots of the first derivative of the function included none.

The point would not be a turning point but an inflexion point of the curve if the function has a root in the set of real numbers but its second derivative is zero at that location. Additionally, such a process would not have a turning point.

Think about the equation f(x)=x3. There isn't a turning point in this function. Rather, it has an inflection point at x=3.

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Answer:

2xy + 3x + 6y + 9

Step-by-step explanation:

2y times x = 2xy

3 times x = 3x

2y times 3 = 6y

3 times 3 = 9

Alyssa has the money of worth $660

Eric has the money of worth $245

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Let x be the amount Alyssa has.

Let y be the amount  Eric has.

alyssa has $75 less than three times eric

=> x= 3y - 75

Together they have $905

=> x + y =905

Substitute x

=> 3y - 75  +y = 905

    4y = 905 +75 = 980

    y = 980 /4 = 245

x= 3y - 75  = 3(245) - 75 = 660

Alyssa has  $660

Eric has  $245

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The slope of the equation 3x+20=-4 is 8.

How may mathematical expressions be made simpler?

Mathematical operations may be made more simpler by using the right order of operations. Exponents, words in parentheses, multiplication, division, addition, and ultimately subtraction are the right order of operations. PEMDAS is a helpful acronym that you may use to remember this.

1. Subtract 20 from both sides

[tex]\begin{aligned}& 3 x+20=-4 \\& 3 x+20-20=-4-20\end{aligned}[/tex]

2. Simplify

Subtract the numbers

3 x=-24

3. Divide both sides by the same factor

[tex]\begin{aligned}& 3 x=-24 \\& \frac{3 x}{3}=\frac{-24}{3}\end{aligned}[/tex]

4 Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=-8

Y = mx + b, where m is the slope and b is the y-intercept, is the slope equation utilising the equation of a line.

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The graph in the problem shows the system of inequalities written below

y ≥ 2

y < x

There are some points that help in interpreting inequality graphs.

Firstly, arranging the equation such that y is the subject of the formula

Secondly look out for line type: dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR <solid line means there is equality in the inequality  ≤ OR ≥

Thirdly is the shaded portion

shading above the line defines greater than shading below the line defines less than

Equipped with this information, on of the line is dashed line and the other is solid line,

the solid line is a horizontal line and shaded above the line which is

y ≥ 2

the dashed line is shaded below the line will hence be a less than

y < x

This makes the first option the best choice

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Answer:

6. Scalene, No congruent sides

7. Isosceles, 2 congruent sides

8. Equilateral, All congruent sides

Answer:

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)  ==> (x1, y1), (x2, y2) are the coordinates and

                                   m is the slope

  (x1, y1), (x2, y2)  ==> (x1=-4, y1=7), (x2=5, y2=-8)

m=(-8-7)/(5-(-4))  ==> plug in known values

m=(-15)/(5+4)  ==> simplify

m=-15/9

m=-5/3

Answer:

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line that is perpendicular to the line y = -1/3x + 7 is the negative reciprocal of the slope of the given line, which is -3. So, the slope of the perpendicular line is 1/3.

The point where the perpendicular line intersects the given line is also the point where the two lines intersect, which is (4,2) in this case. So, we can use this point to find the equation of the perpendicular line using the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope of the line and (x1,y1) is a point on the line.

In our case, the equation of the perpendicular line is:

y - 2 = 1/3(x - 4)

We can simplify this equation to obtain:

y = 1/3x + 8/3

Therefore, the equation of the perpendicular line is y = 1/3x + 8/3.

Answer:12

Step-by-step explanation:

270/3=90, this is the amount it costs for 1 person to go

1080/90=12

12 people can go for $1080

Answer:

New price = 0.06 x Original price

New price $1,968

The coordinate location of the hill halfway between them is  (1, -1).

Jack's house is located at the point (-2, 3) and Jill's house is located at the point (4, -5).  They plan to meet up at the hill located halfway between there two houses.

The coordinate location of the hill can be calculated as follows:

using mid point formula,

(x, y) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

using the end points (-2, 3) and (4, -5)

(x, y) = (-2 + 4 / 2, 3 - 5 / 2)

(x, y) = (2 / 2. -2 / 2)

(x, y) = (1, -1)

Therefore, the coordinate location of the hill is (1, -1).

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The measure of angle EHF is 63°

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

m∠EHG is a right angle.

This means,

m∠EHG = 90°

m∠EHF + m∠FHG = 90

m∠EHF + 27 = 90

m∠EHF = 90 - 27

m∠EHF = 63°

Thus,

The value of m∠EHF is 63°.

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Answer: x= -64

Step-by-step explanation: simplifying both sides of the equation

1. In the simple interest equation, 687.5 = 550(1 + 0.05t), A. The value 550 represents the initial balance in the account, which means the account started with $550.

2. The account balance of a savings account opened with an initial deposit of $425.00, after 9 years if the account earns 2.7% simple interest annually, is C. $528.28.

3. The formula for the arithmetic sequence which begins with 56, 59, 62, 65, 68, … is C. f(n) = 56 + 3(n).

4. The equation, 816 = 600(1 + 9r), represents the amount of money earned on a simple interest savings account, where r is A. r = 0.04.

The simple interest system operates without compounding the interest.

Compounding implies that interest attracts interest.

1) 687.5 = 550(1 + 0.05t)

Principal = $550

Final amount after t years = $687.50

Simple interest rate = 0.05 or 5%

Time, t = [$687.5/$550 - 1]/0.05

= 5 years

2) Principal = $425.00

Time = 9 years

Simple interest rate = 2.7%

Amount after 9 years = $528.28 ($425 x 1 + (9 x 2.7%)

f(n) = 56 + 3(n)

Where n = 1:

f(n) = 56 + 3(1)

= 56 + 3

= 59

Where n = 2:

f(n) = 56 + 3(2)

= 56 + 6

= 62

4) Principal = $600

Amount after 9 years = $816

Simple interest rate = r

r = ($816/$600 - 1)/9

= 0.04

= 4%

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Answer:

Answer below

Step-by-step explanation:

1. The value 550 represents the initial balance in the account, which means the account started with $550.

2. (C) 528.28

425.00 x  2.7% x 9 = 103.275

Then we add 103.275 to the initial deposit of $425.00

425.00 + 103.275 = 528.275

Therefore the answer is (C) 528.28

3. The answer for this one is (A) f(n) = 56 + 3(n − 1)

So, as we can see the first value is 56 and the common difference is 3 and the rule for the nth term is [tex]a_{n} =a_{1} +d(n-1)[/tex] .

Therefore, its 56 + 3(n − 1)

4. For this one we solve for r and using a calculator its (A) r = 0.04

5. Oh also he doesn't have this one but its (C) 102

An auditorium has 30 seats in the first row, 38 seats in the second row, 46 seats in the third row, and so on. How many seats are in the 10th row?

60

93

102

110

As we can see the common difference is 8.

Then we use the rule for nth term which is [tex]a_{n} =a_{1} +d(n-1)[/tex]

[tex]a_{n} =30+8(n-1)[/tex]

[tex]a_{n} =30+8n-8[/tex]

[tex]a_{n} =22+8(10)[/tex]

[tex]a_{n} =22+80[/tex]

[tex]a_{n} = 102[/tex]

So therefore, the answer is (C) 102.

The range of the square footage values for the given mean , standard deviation and  95% confidence interval is equal to (1257.26 , 508.74).

As given in the question,

Sample size 'n' = 2

Sample mean '[tex]\bar{x}[/tex]' = 883 sq ft

Standard deviation 'σ' = 270 sq ft

95% confidence interval.

95% confidence interval = 1 - 0.95

                                        = 0.05

Critical value for 95% is [tex]Z_{0.05}[/tex] = 1.96

Population mean for the given confidence interval is given by :

= [tex]\bar{x}[/tex] ± [tex]Z_{0.05}[/tex] (σ / √n)

= 883 ± 1.96 ( 270 / √2)

= 883 ± 374.26

= ( 1257.26 , 508.74 )

Therefore , the range of the square footage values for the 95% confidence interval is equal to ( 1257.26 , 508.74 ).

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