write a function rule for the area of a triangle with a base of 2m less than 4 times its height what is the area of the triangle when its height is 8

Answers

Answer 1

The area of the triangle when its height is 8m is 160m².

How to calculate the area?

It is important to note that the area of a triangle is calculated as:

Area = 1/2 × base × height

Based on the information given, the base will be:

= 4h - 2

where h = Height

Height = 8

Base = 4h - 2

= 4(8) - 2

= 32 - 2

= 30

The area of the triangle will be:

= 1/2 × base × height

= 1/2 × 30 × 8

= 120 m²

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Related Questions

Find the slope of the line below

Answers

Answer: The slope is 0

Step-by-step explanation: Hope this helps:)

Answer: option D is Answer

Step-by-step explanation:

First we have to assume that (0,1) and (2,1) are the points of the line.

To calculate the slope of a line we have a formula ,m=(y2-y1)/(x2-x1)

After that consider x1=0,x2=2,y1-1,y2=1

Then substitute these values in above formula: m=1-1/2-0

Then we get undefined value.

so..ans is undefined.

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random samples of size 64 are taken from an infinite population whose mean and standard deviation are 240 and 16, respectively. the distribution of the population is unknown. the mean and the standard error of the mean are

Answers

The standard error of the mean is 2.

n =  64

X = 152

s = 16

Standard error: 5/[tex]\sqrt{x}[/tex]

= 16/[tex]\sqrt{64}[/tex]

=2

what is standard error?

The statistical standard error (SE) is the approximate standard deviation of a statistical sample population.

Standard error is a statistical term that uses standard deviation to measure how well a sampling distribution represents a population. In statistics, the sample mean is different from the actual mean of the population. This deviation is the standard error of the mean.

Therefore, The standard error of the mean is 2.

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1.ABCD is a rhombus whose one side is 13cm, OA = 12cm and OD = 5cm. Write the property used.
a) Find its perimeter. b) Find the length of OC and DB.

Answers

Answer:the legth is 40

Step-by-step explanation:

I need help with problem

Answers

The length of line segment AB as required to be determined in the task content is; 53/45.

What is the length of the line segment AB as required?

It follows from the task content that the length of the line segment AB is to be determined as required in the task content.

Since the point, S is a point on line segment AB such that;

AS = 7/9 and SB = 2/5

It follows that the required length of line segment AB is defined as the sum of the lengths of line segments AS and SB.

Therefore; AB = 7/9 + 2/5

AB = (35 + 18) / 45 = 53/45

Ultimately, the required length of line segment AB is; 53/45.

PS;

Also, Two angles are said to be supplementary if the sum of their measures is equal to 180°.

Therefore, since <B is supplementary to <A; the measure of <B is; 180° - <A.

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HELP QUICKLY THANK YOU!

Answers

The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Now,

Since, F and H are defined as;

F = {v | v < 4 }

H = {v | v ≥ 7 }

Hence, The values are;

F ∩ H = {v | v < 4 } ∩  {v | v ≥ 7 }

         = Ф

And, F ∪ H = {v | v < 4 } ∪  {v | v ≥ 7 }

                 = (- ∞, 7]

Thus, The values are;

⇒ F ∩ H = Ф

⇒ F ∪ H = (- ∞, 7]

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Jorge wants to buy a drink. Which option is cheaper per ounce: one 24-ounce cup for $1.92 or two 12-ounce cups for $0.96 each?

The 24-ounce cup costs $0.08 per ounce, and the 12-ounce cups cost $0.085 per ounce. The 24-ounce cup is the cheaper option.

The 24-ounce cup costs $0.08 per ounce, and the 12-ounce cups cost $0.085 per ounce. The two 12-ounce cups are the cheaper option.

The 24-ounce cup costs $0.085 per ounce, and the 12-ounce cups cost $0.08 per ounce. The two 12-ounce cups are the cheaper option.

The cost per ounce in both options is the same.

Answers

The cost per ounce in both options is the same. Then the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The rate is the ratio of the amount of something to the unit.

Jorge wants to buy a drink.

Choice 1: 24-ounce cup for $1.92

Choice 2: 12-ounce cups for $0.96 each

The cost per ounce in choice 1 is calculated as,

⇒ $1.92 / 24

⇒ $0.08 per ounce

The cost per ounce in choice 2 is calculated as,

⇒ $0.96 / 12

⇒ $0.08 per ounce

The cost per ounce in both options is the same. Then the correct option is D.

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I need help to get these answers

Answers

The quadratic function, f(x) = 3·x² + 6·x, has the following values;

1. The function has a minimum value

2. The y-intercept of the function is (0, 0)

The axis of symmetry is; x = -1

The x-coordinate of the vertex is; x = -1

3. The table of values can be presented as follows;

x   [tex]{}[/tex]-2    -1    0

f(x) [tex]{}[/tex]0    -3     0

The vertex is (-1, -3)

4. Please find attached the graph of the function

What is a quadratic function?

A quadratic function is a function that has 2 as the highest power of the variables.

The specified function is; f(x) = 3·x² + 6·x

1. The coefficient of x² in the specified  quadratic function, which indicates the existence of a minimum or maximum value is positive, therefore, the function has a minimum value

2. The y-intercept is the value of the function when x = 0, therefore;

f(0) = 3 × 0² + 6 × 0 = 0

Therefore, at the y-intercept, x = 0, and f(x) = 0

The y-intercept is (0, 0)

The axis of symmetry is a line that passes through the vertex

A the vertex, we get, f'(x) = 6·x + 6 = 0

Therefore;  6·x + 6 = 0

6·x = -6

x = -6/6 = -1

f(-1) = 3·(-1)² + 6 × (-1) = -3

The vertex is (-1, -3)

Therefore, the  axis of symmetry is the line x = -1

The x-coordinate of the vertex of the function is; x = -1

3. A table of values for the function can be presented as follows;

x    [tex]{}[/tex]           f(x)

-6    [tex]{}[/tex]           72

-5     [tex]{}[/tex]          45

-4     [tex]{}[/tex]          24

-3    [tex]{}[/tex]           9

-2    [tex]{}[/tex]           0

-1    [tex]{}[/tex]           -3

0    [tex]{}[/tex]           0

1    [tex]{}[/tex]            9

2     [tex]{}[/tex]           24

3    [tex]{}[/tex]            45

4    [tex]{}[/tex]            72

5    [tex]{}[/tex]             105

4. . Please find attached the graph of the function created with MS Excel

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What is the 200th term in this sequence: 21, 29, 37, 45, 53, ...?
A(200) =

Answers

Hence, the [tex]200th[/tex] term in the sequence is [tex]1613[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given that,

The sequence is

[tex]21,29,37,45,53,...[/tex]

The general formula is

[tex]a_n=a_1+d(n-1)[/tex]

[tex]a_1=21[/tex]

[tex]d=a_2-a_1\\d=29-21\\d=8[/tex]

Substitute it in the general formula is

[tex]a_2_0_0=21+8(200-1)\\a_2_0_0=21+8(199)\\a_2_0_0=21+1592\\a_2_0_0=1613[/tex]

Hence, the [tex]200th[/tex] term in the sequence is [tex]1613[/tex].

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Q. Find the slope of the line.
A -2/1 b 2/1 c -1/2 d 1/2

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{1-0}{2-0} =\frac{1}{2}[/tex]

Thanks.

Answer:

D. [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Pre-Solving

We are given a line.

On that line, two points are marked up: (0,0), and (2, 1).

We want to find the slope of that line

Solving

The slope (m) can be found using the following formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2 ,y_2)[/tex] are points.

Although we already have two points, let's label their values to avoid any confusion and mistakes.

[tex]x_1=0\\y_1=0\\x_2=2\\y_2=1[/tex]

Now substitute these values into the formula.

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{1-0}{2-0}[/tex]

[tex]m = \frac{1}{2}[/tex]

The slope is [tex]\frac{1}{2}[/tex], so the correct answer is D.

Topic: slope

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Who now what is egal 8+8-8×8÷8

Answers

Answer:

8+8-8×1

8+8-8

16-8

8 Ans.

The mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49. If a sample of 54 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 43.4 dollars? Round your answer to four decimal places.

Answers

The probability that the sample mean would be less than 43.4 dollars is 0.9292.

What is a probability?

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

From the information, the mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49 and a sample of 54 bags of shrimp is randomly selected.

Therefore, the probability will be:

P(x < 43.4)

Using normal distribution

= P(z < 43.4 - Mean( / 7/✓54)

= P(z < 43.4 - 42( / 7/✓54)

= P(z < 1.4697)

= 0.9292

The probability is 0.9292.

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find the value of the constant c which makes fx|y (x, y) a valid conditional probability mass function.

Answers

c=1/2  which makes fx|y (x, y) a valid conditional probability mass function.

What is conditional probability?

The possibility of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is determined by multiplying the likelihood of the earlier event by the increased likelihood of the later, or conditional, event.

Given that;

p(x) = [tex]c (\frac{2}{3} )^n[/tex]   where x = 1,2,3,........

for getting value of c we are using the expression :

[tex]\sum_{n=1}^{\infty} c(\frac{2}{3})^n = 1[/tex]

[tex]c\sum_{n=1}^{\infty} (\frac{2}{3})^n = 1[/tex]

Since we want p(x) to be a Probability Mass Function, your approach is correct, since for any such function

fX:A→[0,1],X:S→A⊆R, it is :

[tex]\sum _{x\in A} \ fX(x)=1[/tex]

As long as you've correctly understood that condition, you can proceed with your specific exercise as follows:

[tex]\sum_{n=1}^{\infty} c(\frac{2}{3})^n = 1[/tex]

⇔ [tex]c\sum_{n=1}^{\infty} (\frac{2}{3})^n = 1[/tex]

⇔2c = 1

⇔c = 1/2

Hence c =  1/2 is the valid conditional probability mass function.

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Write In Radical Form. Do Not Simplify. 15x1/4

Answers

The expression 15 × (1/4) can be expressed in radical form as √225/√16.

What are radicals

In mathematics, the symbol √ is used to represent or show that a number is a radical. Radical expression is defined as any expression containing a radical (√) symbol.

The expression 15 × (1/4) can be rewritten as follows;

the first number 15:

15 = √(15 ×15)

15 = √225

also the fraction (1/4):

1/4 = √[(1 × 1)/(4 × 4)]

1/4 = √(1/16)

1/4 = 1/√16

So we have the expression;

15 × (1/4) = √225 × 1/√16

15 × (1/4) = √225/√16.

Therefore,√225/√16 is the radical form for the expression 15×1/4.

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Light travels
9.45

1
0
15
9.45⋅10
15
9, point, 45, dot, 10, start superscript, 15, end superscript meters in a year. There are about
3.15

1
0
7
3.15⋅10
7
3, point, 15, dot, 10, start superscript, 7, end superscript seconds in a year.
How far does light travel per second?
Write your answer in scientific notation.

Answers

The distance travelled per second (i.e speed) of the light is 3×10⁸ m/s

How do I determine the distance traveled per second of the light?

Distance travelled per second is known as speed. It can be expressed as:

Speed = distance / time

With the above formula, we can obtain the distance traveled per second of the light, Details below

From the question given, the following were obtained:

Distance = 9.45×10¹⁵ metersTime = 3.15×10⁷ secondsDistance per second =?

Speed = distance / time

Distance per second = 9.45×10¹⁵ / 3.15×10⁷

Distance per second = 3×10⁸ m/s

From the calculation made above, we can conclude that the distance per second is 3×10⁸ m/s

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x - 4y = -8
3x + 8y = 12

Answers

Answer: y = 1.8

x = -0.8

Step-by-step explanation:

From equation 1, x = -8 + 4y

Substitute this in equation 2,

3 (-8 + 4y) + 8y = 12

-24 + 12y + 8y = 12

20 y = 12+ 24

20 y = 36

y = 36/20

y = 1.8

Substitute value of y in any equation: x = -0.8

Answer:

see photo

Step-by-step explanation:

Arrange your terms

substitute

solve for y

solve for x

HELP ME PLEASE! IM SO CONFUSED

Answers

Answer:

299,792 km599,585 km899,377 km1,199,170 km1,498,962 km

Step-by-step explanation:

You want to find the distance traveled by light in km for periods of 1–5 seconds at a speed of 299,792,458 m/s.

Units

The speed is given in meters per second, and the table values are wanted in kilometers. There are 1000 meters in 1 km, so it can be convenient to convert the speed to km/s before doing other calculations.

  (299,792,458 m/s) / (1000 m/km) = 299,792.458 km/s

Distance

The distance is found by multiplying the speed by time:

  d = 299,792.458t

It is convenient to let a calculator do the multiplication (and rounding). The attachment shows the result of using t = {1, 2, 3, 4, 5}.

The distances are, respectively, {299792, 599585, 899377, 1199170, 1498962} km.

PLEASE PLEASE PLEASE PLEASE HELP
find the missing information
arc length ??????
radius 7 in.
central angle 60 degrees

Answers

Answer:

Arc length = 7.33 inches

Step-by-step explanation:

The formula for arc length is s = rθ, where s = arc length, r = radius, and θ is the central angle in radians.

We are given that the radius is 7, and the central angle is 60 degrees, which means we have to convert the central angle to radians and then plug in the values to solve:

π radians = 180 degrees

60 degrees * (π radians/180 degrees) = π/3 radians

r = 7;  θ = π/3

s = 7*π/3

s = 7π/3

s = 7.33

FILL IN THE BLANK. if -4 -1 and 1 1 are eigenvectors of a matrix corresponding to the eigenvalues and , respectively, then and___.

Answers

If -4 -1 and 1 1 are eigenvectors of a matrix corresponding to the eigenvalues and , respectively, then and x.

Are the eigenvalues and eigenvectors of matrix A the same?An eigenvalue is connected to each of A's eigenvectors. Consequently, we can refer to this eigenvector as X1 if 1 is an eigenvalue of A and AX=1X. Remember that X must not be 0 in order to be an eigenvector. Eigenvectors have a geometric meaning as well.A nonzero vector x such that Ax x for some scalar is an eigenvector of a n n matrix A. If there is a nontrivial solution x of Ax x, the scalar is referred to as an eigenvalue of A; the associated x is referred to as an eigenvector.

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What is the slope of the line that passes through the points (3, 9)(3,9) and (7, 5)(7,5)? write your answer in simplest form.

Answers

The Slope of the line that passes through the point (3,9) and (7,5) in simplest form is -1  .

The Slope of line passing through points (a,b) and (c,d) is calculated using  formula ,

Slope = (d - b)/(c - a)

and slope is denoted by letter "m" .

In the question ,

it s given that ,

the line is passing through the points (3,9) and (7,5) and

we have to find the slope ,

substituting values from the given point in slope formula ,

we get ,

slope (m) = (5-9)/(7-3)

Simplifying further , we get

= -4/4

= -1

Therefore , the slope of required line is -1 .

The given question is incomplete , the complete question is

What is the slope of the line that passes through the points (3,9) and (7, 5) ? write your answer in simplest form.

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For questions 7-9, factor each polynomial completely over the set of complex
numbers.

7. a(x)=2x²-3x³-24x² +13x+12

8. b(x) = x² − 2x³ −17x² +4x+30

9. c(x)=2x³-5x² +12x-5

PLEASE SHOW WORK





Answers

Answer:

answers attached int he files below all in order

To finish an order on time, a company has to produce 40 items each day. But the company manages to complete 20 more items each day than it needs to, and finishes the order 3 days ahead of time. In how many days was the company supposed to finish the order?.

Answers

The company was supposed to finish the order in 9 days.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here, we have

The company must have produced 60 items daily if it produced 20 more than the daily average of 40 items.

The company had 120 products to make, which should have taken three days (120 items, 40 items/day), but it finished in just two days (120 items, 60 items/day). They completed this order one day earlier than expected.

However, the issue is that they completed 3 days ahead of schedule. Thus, our estimate is 360 items or three times 120 items.

According to this, they should have completed their order in 9 days (360 things, at a rate of 40 items per day), but they did so in 6, at a rate of 60 items per day. Since 6 is three fewer than 9, our assumption of 360 items was accurate.

We've demonstrated that the business should have completed the order in 9 days.

Let the desired number of days be x.

Then, the company finished its order in x - 3 days.

Since the number of items produced is the number of days times items per day, and it doesn't change:

number of items = 40 items/day * x days

= 60 items/day * (x - 3) days

40x = 60(x - 3) = 60x - 180

180 = 20x

x = 9

Hence, the company was supposed to finish the order in 9 days.

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on january 1 of every year, many people watch the rose parade on television. the week before the parade is very busy for float builders and decorators. roses, carnations, and other flowers are purchased from around the world to decorate the floats. Based on past experience, one float decorator found that 10% of the bundles of roses delivered will not open in time for the parade, 20% of the bundles of roses delivered will have bugs on them and be unusable, 60% of the bundles of roses will turn out to be beautiful, and the rest of the bundles of roses delivered will bloom too early and start to discolor before January 1. Conduct a simulation to estimate how many roses the float decorator will need to purchase to have 15 good bundles of roses to place on the float. 1. Describe how you will use a random number table jo conduct this simulation.

Answers

We select the option that corresponds to a random number between 1 and 10. We repeat this process until we get 15 good roses.

In the given question, one float decorator found that 10% of the bundles of roses delivered will not open in time for the parade.

20% of the bundles of roses delivered will have bugs on them and be unusable.

60% of the bundles of roses will turn out to be beautiful.

The rest of the bundles of roses delivered will bloom too early and start to discolor before January 1.

We have to conduct a simulation to estimate how many roses the float decorator will need to purchase to have 15 good bundles of roses to place on the float.

We also have to describe how you will use a random number table to conduct this simulation.

The random number table is

Not bloomBugBugGoodGoodGoodGoodGoodGoodBlossom too early

Now we select the option that corresponds to a random number between 1 and 10.

We repeat this process until we get 15 good roses.

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a farmer plans to make two identical and adjacent rectangular pens against a barnone pen for sheep, te other for pigs, each with the same area he has 48 feet of fencing to make the pens

Answers

The Length and width of each pen is 6 feet by 8 feet. The 8 feet side is the adjacent side

What is an equation?

An equation is an expression that is used to show the relationship between two or more numbers and variables.

Let x and y represent the length and width of the ship pen (or pig pen) since they have same area and y is the adjacent side. Since both pens are adjacent to each other, he has 48 feet of fencing to make the pens, hence:

Perimeter = x + x + y + x + x + y + y

48 = 4x + 3y

4x = 48 - 3y

x = 12 - (3/4)y

Area = (x + x)y

Area (A) = 2xy

substituting, x = 12 - (3/4)y:

A = 2(12 - (3/4)y)y

A = 24y - (3/2)y²

The maximum area is at A' = 0:

A' = 24 - 3y

24 - 3y = 0

3y = 24

y = 8 feet

x = 12 - (3/4)y = 12 - (3/4)(8) = 6 feet

The Length and width of each pen is 6 feet by 8 feet.

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I need to sort these based on the way you would find their congruency. I already sorted them, just tell me if I am right. Make sure it also corresponds with what the left says the triangle has to be. Thanks!

Answers

Assuming that ΔABC has equal sides AB and AC, we can say that AD is parallel to BC hence∠A=∠B.

What is Congruency?

ongruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

from △ABD and △ACD,

AB=AC ,AD is common

∠ADB=∠ADC, since both are right angles.

by SSA congruence

△ABD≅△ACD

therefore base angles are equal.

use sine rule,

a/sinA = b/sinB = c/sinC

by definition of isosceles triangle, any two sides are equal

w.l.o.g. let, a=b

asinA=asinB=csinC

asinA=asinB

aa=1=sinAsinB

⟹sinA=sinB

and ∠A and ∠B are less than 180.

therefore ∠A=∠B

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solve for x under the assumption that x >0 x-70/x<-3

Answers

x under the assumption that x >0 x-70/x<-3, x > -35

WHAT IS INEQUALITY?

Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income (the quantity of money people get paid) (the amount of wealth people own). There are significant forms of economic inequality among various groups of people in addition to economic inequality between nations or states. Wealth, income, as well as consumption are the three main focuses of significant economic measurements. There are numerous ways to gauge economic inequality, with the Gini coefficient being among the most popular. The Disparities Human Development Index is a statistic composite index which offers another type of measurement by taking inequality into account.

assuming x > 0,

(x-70/x) < 3

= x-70 < 3x = -70 < 2x

= x > -35

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Determine the next 4 terms in the sequence. Put commas in between your numbers. If you get marked wrong, simply check to see if your numbers were correct. -0.02 ,0.01, 0.04, 0.07, 0.10, ...​

Answers

Answer:

0.13, 0.16, 0.19, 0.22

Step-by-step explanation:

You are adding 0.03 each time

Answer:

0.13, 0.16, 0.19, 0.22

Step-by-step explanation:

Add 0.03 to each.

Suppose a credit card has an APR of 22.41% and changes its compounding period from daily to monthly. What will happen to the effective interest rate charged by the credit card?

Answers

If the credit card changes its compounding period from daily to monthly, then the effective interest rate charged on the credit card will decline.

How to find the effective interest rate?

To find the effective interest rate on the credit card when it had a daily compounding period, use the formula:

= ( 1 + APR / Number of times for compounding in a year) ^ Number of times for compounding in a year - 1

= ( 1 + 22.41% / 365) ³⁶⁵ - 1

= 25.11%

When the credit card changes to a monthly compounding period, we get:

= ( 1 + 22.41% / 12) ¹² - 1

= 24. 86%

The effective interest rate therefore fell.

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Compare 160 and 115/9 using <, >, or =.

Answers

The correct comparison between the given numbers ; √160 and 115 / 9 is; 115 / 9 > √160.

Which sign correctly compares the given numbers?

It follows from the task content that the sign which correctly compares the two numbers as given in the task content be determined.

Since the given numbers in the task content can be evaluated as follows;

√160 = 12.64911064.

115 / 9 = 12.7777777778

From the results of the evaluations as represented above, since 12.7777777778 is greater than 12.64911064, it follows that the 115 / 9 > √160.

Therefore, the required correct comparison is;

115 / 9 > √160

The answer choice which is correct is as represented above.

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Write the equation of a line that is perpendicular to the line y=1/2x-6 and passes through the point (-1,5)

Answers

The equation of the line that is perpendicular to y = 1/2x - 6 and that passes through the point (-4, -5) is y = -2x + 3

Equation of a straight line passing through a given point

From the question, we are to determine the equation of the line that is perpendicular to the given line and that passes through the given point.

The given equation is y = 1/2x - 6

The given point is (-1, 5)

NOTE: If two lines are perpendicular, then their slopes are negative reciprocals of each other

First, we will determine the slope of the given line

y = 1/2x - 6

Compare to the general form of an equation of a straight line

y = mx + b

Where m is the slope

and b is the y-intercept

Therefore,

The slope of the line is 1/2

But,

The negative reciprocal of 1/2 is -2

Thus, the slope of the equation we are to determine is -2

Now, we will determine the equation of the line that has a slope of -2 and that passes through the point (-1, 5)

Using the point-slope form of the equation of a straight line

y - y₁ = m(x - x₁)

Then,

y - 5= -2(x - (-1))

y - 5 = -2(x + 1)

y - 5 = -2x -2

Add 5 to both sides of the equation

y - 5 + 5 = -2x - 2 + 5

y = -2x + 3

Hence, the equation of the line is y = -2x + 3

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Shares in a company are bought for $600. After a year, the same
shares are sold for $550. Calculate the percentage depreciation

Answers

The percentage of the depreciation is 8.3%

How to determine the percentage of the deperciation?

In this question, the figures are given as

Original amount = $600

New amount = $550

These figures can be represented as

Initial value = 600

Final value = 550

The percentage of the depreciation is then calculated using the following equation

Change percentage = (Final amount - Initial amount)/Initial amount * 100%

Substitute the known values in the above equation, so, we have the following representation

Change percentage = (550 - 600)/600 * 100%

Evaluate

Change percentage = -8.3%

Hence, the depreciation percentage is 8.3%

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