write a quadratic function in standard form containing the point (5,-6) and x-intercepts -7 and 3

WILL GIVE BRAINLIEST

Answers

Answer 1

Answer:

[tex]y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]

Step-by-step explanation:

Intercept form of a quadratic equation

[tex]y=a(x-p)(x-q)[/tex]  

where:

p and q are the x-intercepts.a is some constant.

Given:

x-intercepts:  -7 and 3Point on the curve:  (5, -6)

Substitute the given values into the formula and solve for a:

[tex]\begin{aligned} y&=a(x-p)(x-q)\\\\\implies-6&=a(5-(-7))(5-3)\\-6&=a(12)(2)\\-6&=24a\\a&=\dfrac{-6}{24}\\\implies a&=-\dfrac{1}{4}\end{aligned}[/tex]

Substitute the given x-intercepts and the found value of a into the formula:

[tex]\implies y=-\dfrac{1}{4}(x+7)(x-3)[/tex]

Expand to standard form:

[tex]\implies y=-\dfrac{1}{4}(x^2-3x+7x-21)[/tex]

[tex]\implies y=-\dfrac{1}{4}(x^2+4x-21)[/tex]

[tex]\implies y=-\dfrac{1}{4}x^2-x+\dfrac{21}{4}[/tex]


Related Questions

Use the given information to answer the question. The distance s that an object falls varies directly with the square of the time, t , of the fall. If an object falls 16 feet in one second, how long will it take for it to fall 48 feet? Round your answer to two decimal places.

Answers

The time that it will take for it to fall 48 feet will be ✓3 seconds.

How to illustrate the information?

From the information, the distance s that an object falls varies directly with the square of the time, t , of the fall and an object falls 16 feet in one second.

This will be:

s = kt²

s = distance

k = constant

t = time

s = kt²

16 = 1²k

k = 16

Therefore, the time that it will take for it to fall 48 feet will be:

s = kt²

48 = 16t²

t² = 48 / 16

t² = 3

t = ✓3

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Under her cell phone plan, Zendaya pays a flat cost of $42 per month and $4 per gigabyte. She wants to keep her bill under $50 per month. Write and solve an inequality which can be used to determine x, the number of gigabytes Zendaya can use while staying within her budget.

Answers

Answer: 4x + 42 < 50

Step-by-step explanation: $42 is the flat price so that is our constant; $4 per gigabyte is our variable. If she wants to keep her bill UNDER $50 dollars a month you would put a less than symbol.

Answer:

Step-by-step explanation:

i did the work and i got 4x + 42 < 50

What is the first 3 pairs of opposite integers

Answers

The first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).

Given that,

We have to find the first 3 pairs of opposite integers.

Opposite integers means the "counting numbers" (sometimes known as integers), as well as zero, are integers. The pairs of integers known as opposite integers share the same absolute value, or, to put it another way, are equally spaced from zero. The numbers 10 and -10 are the opposites. The numbers 43 and -43 are the opposites.

So,

Keep in mind that our whole numbers are our integers. The negative and positive iterations of a number together are called a pair of opposite integers.

We get, the first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).

Therefore, the first 3 pair of opposite integers are (-1,1),(-2,2) and (-3,3).

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Complete the factoring.
x^2 ​+ 8x ​+ 15

Answers

Factors are (x+5) (x+3)

Answer:

(x+3) (x+5)

Step-by-step explanation:

1) When factorising a quadratic like this the first step is to put x in front of two brackets:

(x ) (x )

2) Next check if all numbers in your question is positive (+). In this case it is so we put + after both x in bracket.

(x+ ) (x+ )

3) now the last number in your question is 15 so we find all factors of 15:

1 and 15

3 and 5

4) to know which pair of factors to use we look at owr second number in the question which is 8x. The factors that add up to 8 is 3 and 5.

Voilà

The sample space S= [E1, E2, E3, E4, E5, E6, E7, E8, E9, E10]
Given A = [E1, E3, E6, E9], define Ȃ
Given A = [E1, E3, E7, E9] and B = [E2. E3, E, E9]
a) What is A intersection B?
b) What is the union of A & B?
c) Is the union of A & B collectively exhaustive?

Answers

A) The intersection of subsets A and B is; A ∩ B = {E3, E7, E9}

B)  The union of subsets A and B is; A ∪ B = {E1, E2, E3, E7, E9}

C) No, the union of A & B is not collectively exhaustive

What is the Union and Intersection of the Sets?

We are given;

Sample space;

S = [E1, E2, E3, E4, E5, E6, E7, E8, E9, E10]

A = [E1, E3, E7, E9]

B = [E2. E3, E, E9]

A) Now, the intersection of subsets A and B would be the values that are common to both sets. This gives us;

A ∩ B = {E3, E7, E9}

B) The union of the subsets A and B with be the combination of all terms in both subsets and this gives us;

A ∪ B = {E1, E2, E3, E7, E9}

C) The union of A & B is not collectively exhaustive because it does not contain all the data available in the sample space.

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Addition and what are operations you can use to join what

Answers

Answer:  The correct answer is:

Addition and multiplication are operations you can use to join equal groups.

Step-by-step explanation: Confirmed correct.

Ms jones has a rain barrel shaped like a cylinder in her backyard the barrel is 42in high and it has a diameter of 30 which answer is closet to the number of cubic inches of rain that the barrel can hold
A 30,000
B 120,000
C 100,000
D 40,000

Answers

The answer closest to the number of cubic inches of rain that the barrel can hold is 30,000. Option A

How to determine the value

It is important to note that the formula for determining the volume of a cylinder is expressed as;

Volume = πr²h

Where;

The value of pi = 3. 14r is the radius of the cylinderh is the height of the cylinder

Also note that the formula for diameter is given as;

Diameter = 2 radius

Now, substitute the value of diameter

30 = 2r

Make 'r' the subject of formula

r = 15in

Substitute the values into the formula

Volume = 3. 14(15)²(42)

expand the bracket

Volume = 29, 673 cubic inches

Volume = 30, 000 cubic inches

Hence, the value is 30, 000 cubic inches

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Discussion forum---reply to this post

There is no one right answer to why statistics is misleading. There can be many factors at work that have hidden variables that affect the outcome of the data. It’s up to us to see the data and come up with factors that could be hidden but still at work that we don’t see. It’s important to study the data, to see if there are hidden variables in the data or not.

But I still think, any statistics is good to help the decision-making process. It's good to see data before making the final decision. Any sort of data, good or bad is still useful to see trends. Data should be considered when making decisions, but more analysis should be done before any final decision can be made. Data at face value can be right but we should make sure if there is any hidden information that we don’t know about.

Answers

Statistics can be misleading by faulty sampling and inaccurate graphs

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

Given Data

Statistics can be misleading.

Statistics is quite powerful. So much so that some of the most significant decisions made by individuals and organizations were based on statistics. The adage that "statistics don't lie" may actually be true. However, statistics can occasionally be deceptive, and depending on how they are used, the same type of data can demonstrate the opposite tendency.

Sometimes inaccurate information is purposefully supplied in order to influence individuals and forward a goal. Similarly, it can also occur as a result of negligence or just failing to comprehend the data.

Knowing the various ways statistics can be abused will help you spot them and avoid making decisions based on skewed or inaccurate information.

1)Faulty sampling

The info can due to the sampling strategy employed to gather the data, be deceptive. For instance, the size and kind of the sample used in any statistics has a big impact. Since many surveys and polls are directed at specific groups of people who give particular answers, the sample sizes tend to be tiny and skewed.

2)Inaccurate graphs

Data manipulation can be done in a variety of ways, not just by using descriptive statistics incorrectly. You can identify them if you are aware of them.

3)Chooser Data Display

This type of data visualization might be perplexing and exaggerate differences. If you look at the data and consider how much variety there is in the numbers, you can spot false graphs in the media.

4)Absence of Baseline

Checking to see if the start-at-zero criteria has been adhered to is another approach to spot a deceptive graph. In a graph, The New York Times demonstrated that its sales are double those of The Daily Telegraph. However, if you look at the scale, you can see that the sales difference is just about 10%.

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During training, an athlete ran 250 m/min. By then on the day of a race, he increased his average speed to 300 m/min and finish the race on minute faster than he had during training. What distance was the race

Answers

If  he increased his average speed to 300 m/min and finish the race on minute faster than he had during training. The distance of the race is:  1500 meters.

Distance

Slower speed :

rate = 250 m/min

time = x minutes

distance = r×t = 250x meters

Faster speed :

rate = 300 m/min

time = x - 1 minutes

distance = 300x - 300 meters

Equate

distance  = distance

250x = 300x - 300

Collect like terms

50x = 300

Divide both side by 50x

x = 300/50

x = 6 minutes

Hence,

Race distance = 250x where x =6

Race distance = 250×6

Race distance= 1500 meters

Therefore we can conclude that the distance is 1500 meters.

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Let ​f(x)=x2−12 and ​g(x)=13−x.
Perform the composition or operation indicated. ​(fg)(4​)

Answers

Answer:

The answer would be 36.

Step-by-step explanation:

I linked the steps I used to get this answer in the image, I hope this helps :)

a rectangular poster is 3 times as long as it is wide. it has an area of 27 square inches. what is the length and width of the poster

Answers

The dimensions of the rectangular poster are:

Width = 3 inches.

Length = 9 inches.

How to Find the Dimensions of a Rectangle?

A rectangle usually has a long side called the length, and a shorter side called the width.

The area of the rectangle is calculated by multiplying the length and the width together. Therefore, formula for the area of a rectangle is:

Area = (length)(width).

The rectangular poster has the following parameters:

Let x represent the width of the rectangular poster.

Width of the rectangular poster = x

Length of the rectangular poster = 3x

Area of the rectangular poster = 27 in.².

Plug in the values

(x)(3x) = 27

3x² = 27

Divide both sides by 3

3x²/3 = 27/3 [division property of equality]

x² = 9

Take the square root of both sides

√x² = √9

x = 3

Width of the rectangular poster = x = 3 inches.

Length of the rectangular poster = 3x = 3(3) = 9 inches.

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Consider the equation 3x3 + 14x2 – 14x + 60 = 0. The real solution is –6. What are the nonreal solutions?

Negative 2 i StartRoot 26 EndRoot, 2 i StartRoot 26 EndRoot.
4 minus 2 i StartRoot 26 EndRoot, 4 + 2 i StartRoot 26 EndRoot.
StartFraction negative 2 + i StartRoot 26 EndRoot Over 3 EndFraction, StartFraction negative 2 minus i StartRoot 26 EndRoot Over 3 EndFraction.
StartFraction 2 + i StartRoot 26 EndRoot Over 3 EndFraction, StartFraction 2 minus i StartRoot 26 EndRoot Over 3 EndFraction.

Answers

Using the polynomial expression, the non-real solutions are x = (2 + i√26)/3 and  x = (2 - i√26)/3

What are polynomial expressions?

Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators

How to determine the non-real solutions?

The equation of the polynomial expression is given as:

3x^3 + 14x^2 - 14x + 60 = 0

From the question, we have

Real solution = -6

Rewrite the above equation as

x = -6

Add 6 to both sides of the equation

So, we have

x + 6 = 0

The next step is to divide the polynomial equation 3x^3 + 14x^2 - 14x + 60 = 0 by x + 6 = 0

This is represented as

3x^3 + 14x^2 - 14x + 60/x + 6

Using a graphing calculator, we have

3x^3 + 14x^2 - 14x + 60/x + 6 = 3x^2 - 4x + 10

Next, we determine the solution of the quadratic expression 3x^2 - 4x + 10 using a quadratic formula

So, we have

x = (-b ± √(b² - 4ac))/2a

This gives

x = (4 ± √((-4)² - 4 * 3 * 10))/2 * 3

So, we have

x = (4 ± √-104)/6

This gives

x = (4 ± 2√-26)/6

Divide

x = (2 ± √-26)/3

Rewrite as

x = (2 ± i√26)/3

Split

x = (2 + i√26)/3 and  x = (2 - i√26)/3

Hence, the non-real solutions of the polynomial expression are x = (2 + i√26)/3 and  x = (2 - i√26)/3

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Graph the inequality
Pls and thank you not urgent

Answers

To graph an inequality, treat the <, ≤, >, or ≥ sign as an = sign, and graph the equation.

Which four steps are involved in graphing an inequality?

Steps1:Always begin by separating the variable y from the inequality's left side.Step 2: Replace the inequality symbol with the equality symbol.Step 3: In the X, Y, XY, XY plane, graph the boundary line from Step 4 :The final step is to shade a portion or one side of the border line.Uneven relationships between two expressions are demonstrated by inequalities. Here are a few instances of inequality: 9 > 7 9 > 7 9 > 7. 6 a + 2 6 underlined a+2 6 < a+2. x < 5 x<5 x<5.To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't include equal to (> or ).

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The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.


b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.

Answers

The water pressure on the submerged object is given by d = P ÷ 64

Pressure is the force applied perpendicularly to an object's surface in relation to the area across which it is applied (symbol: p or P).  

Gauge pressure, also spelled gage pressure, is the pressure in relation to the surrounding air.Various units are used to express pressure. The pound-force per square inch (psi), which is equivalent to one newton per square meter (N/m2) in the SI, is the standard unit of pressure in the imperial and U.S. customary systems. Some of these results arise from dividing a unit of force by a unit of area.

a. The given formula is is P=64d

or , d = P ÷ 64

b. at a pressure of 672

d = 672  ÷ 64

or, d = 10.5 feet

Hence the pressure is 672 pounds per square foot at a depth of 10.5 feet.

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I could use some help solving these two problems if possible. Thank you.

Answers

Solution:

iven the figure below:

Where

[tex]\begin{gathered} S\Rightarrow satellite \\ B\Rightarrow Bora-Bora \\ G\Rightarrow Greenland \\ R\Rightarrow Rapa\text{ Nui} \\ H\Rightarrow St.\text{ Helen} \end{gathered}[/tex]

Using the secant-secant theorem expressed as

[tex]SB\left(SB+BG\right)=SR\left(SR+RH\right)\text{ ----- equation 1}[/tex]

Given that th e satellite signal reaches Bora-Bora at 38,000 km and Greenland which is an additional 20,000km, this implies that

[tex]\begin{gathered} SB=38000 \\ BG=20000 \end{gathered}[/tex]

If the distance from the satellite to Rapa Nui is 45,000 km, this implies that

[tex]SR=45000[/tex]

The total distance from the satelite to St. Helen is expressed as

[tex]SH=SR+RH\text{ ----- equation 2}[/tex]

From equation 1,

[tex]\begin{gathered} \begin{equation*} SB\left(SB+BG\right)=SR\left(SR+RH\right)\text{ } \end{equation*} \\ substitute\text{ equation 2 into equation 1} \\ thus,\text{ we have} \\ SB\left(SB+BG\right)=SR\left(SH\right)\text{ ---- equation 3} \end{gathered}[/tex]

Substituting the values, we have

[tex]\begin{gathered} 38000\left(38000+20000\right)=45000\left(SH\right) \\ \Rightarrow38000\times58000=45000\left(SH\right) \end{gathered}[/tex]

divide both sides by 45000,

[tex]\begin{gathered} SH=\frac{38000\times58000}{45000} \\ \Rightarrow SH=48977.77777 \end{gathered}[/tex]

Hence, the signal will travel a distance of 48977.77777 km from the satellite to St. Helen.

3 Find the coordinates of the vertices of each figure after the given transformation
3) reflection across the x-axis
Enter Question Text
A U'(1,3),V'(4,3), W'(5,4),T'(1,4)
B U'(3,1),V'(3,4,), W'(4,5),T'(4,1)
D U'(-1,3),V'(-4,3), W'(-5,4),T'(-1,4)
(3)(4-3);W(Sp-4)T(4)
U
T
X

Answers

The coordinates of vertices U(1 , -3) , V(4 , -3) , T(1 , -4) , W(4 , -4) becomes

U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4) after the reflection across x-axis occurs.

Solution:When a point is reflected across the x-axis, the x-coordinate remains unchanged, but the y-coordinate is assumed to be the additive inverse. Point (x, y reflection )'s across the x-axis is (x, -y).the point (x , y)→ (x , -y).

In the question given 4 coordinates,

U(1 , -3)

V(4 , -3)

T(1 , -4)

W(5 , -4)

the reflection across x-axis

U(1 , -3) →U' (1, 3)

V(4 , -3) → V'(4 , 3)

T(1 , -4) → T'(1 , 4)

W(5 , -4) → W'(5 , 4)

so  after the reflection across the x axis the coordinates of the vertices becomes ,

U' (1, 3) , V'(4 , 3) , T'(1 , 4) , W'(5 , 4)

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the point on 0 on the number line represents what?

Answers

Accordig to the given line, City P is above sea level, and City R is below sea level because they are above and below zero, respectively.

Hence, the right answer is D.

Help

Albie is comparing the ratio of students in her class that are wearing the color green to the total number of students in her class. She finds out of 30 students in her class, 7 are wearing green. What kind of ratio relationship is she using?:


A: Part-to-part relationship

B: Whole relationship

C: Part-to-whole relationship

D: Part relationship

Answers

Answer:

C

Step-by-step explanation:

Beacuse part to whole means describing a specific part of a group to the whole group, in our case students wearing green : students

show work for 758 x 93

Answers

The product of the numbers 758 and 93 is 70494

How to determine the product of the numbers?

The numbers are given as

758 x 93

By using the standard algorithm i.e. the partial product method, we have the following equation

758 x 93 = 758 x (90 + 3)

Open the bracket

So, we have the following equation

758 x 93 = 758 x 90 + 758 x 3

Evaluate the products

758 x 93 = 68220 + 2274

Next, we evaluate the sum

758 x 93 = 70494

This means that the final product is 70494

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1. 2 million is ______
thousands.

Answers

2000.

2000000 = 1000x
x = 2000

Answer: 2 million is 2,000 thousands.

Step-by-step explanation:

2,000,000 = 2 million

1,000 = 1 thousand

2,000 thousands = 2 million

I have failed this question a lot and I don't know what I'm doing wrong,
Find the vertex of:

Answers

Answer:

(-2,-7)

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-15}x^2\stackrel{\stackrel{b}{\downarrow }}{-60}x\stackrel{\stackrel{c}{\downarrow }}{-67} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ -60}{2(-15)}~~~~ ,~~~~ -67-\cfrac{ (-60)^2}{4(-15)}\right) \implies \left( - \cfrac{ -60 }{ -30 }~~,~~-67 - \cfrac{ 3600 }{ -60 } \right) \\\\\\ (-2~~,~~-67+60)\implies {\Large \begin{array}{llll} (-2~~,~~-7) \end{array}}[/tex]

Stishen is running late for class one morning and randomly grabs two socks from a drawer that has 8 blue and 6 black. If you select four socks at random, what is the probability at most three are blue?

Answers

If you select four socks at random, the probability that at most three are blue is 42.9%.

What is probability?

Probability is the likelihood of an expected outcome occurring when many possible events can happen.

Probability is represented in percentages, fractions, and decimals to show that it describes what is likely from many outcomes.

The total number of socks in the drawer = 14

The number of blue socks = 8

The number of black socks = 6

The probability of getting a blue sock = 8/14

The probability of getting 3 out of 4 = 3/4

The combined probability = 8/14 x 3/4

= 42.86%

= 42.9%

Thus, when you randomly select four socks, you can probably get blue socks 42.9% of the time.

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i need help with question 15

Answers

A rational number is a number that can be written in the form:

[tex]\frac{p}{q}[/tex]

Where p and q are coprimes. We are asked for finite sets, we can rule out options 3 and 4. In the set in option 2 the first element is:

[tex]\sqrt{3}[/tex]

This number cannot be written a ratio. We can rule out option 2.

All the elements in the set from option 1 can be written in the form p/q.Thus, the answer is the first option.

a light flashes every 2 minutes, a second light flashes every 3.5 minutes and a third light flashes every 4 minutes. if all three lights flash together at 8 p.m what is the next time of the day they will all flash together?

Answers

Answer:

take the LCM of the three numbers. Since 2 is a multiple of 4, you can ignore the two and just take the LCM of 4 and 3.5. Since 3.5 is a decimal, the LCM is just 3.5*4 which is 14. That is how many minutes after 8:00 they will flash together again.

Step-by-step explanation:

Zoie is painting a picture that is 15 by 27 inches. She plans to frame it in a frame x inches wide.

1) Write a polynomial that will be the area of the framed picture.

2) What will be the area of the picture with the frame if x=3?​

Answers

The polynomial area of the framed picture is (27 + 2x) * (15 + 2x) and the value is 693 square units

What are areas?

The area of a shape is the amount of space on the shape

For most regular quadrilaterals, you multiply the side lengths to determine the area

How to determine the area of the framed picture?

The given parameters are

Width = 15

Length = 27

Also, we have

Length of the frame = x

This means that the area of the framed picture is

Area = (Length + 2 * Length of the frame) * (Width + 2 * Length of the frame)

Substitute the known values in the above equation

Area = (27 + 2x) * (15 + 2x)

The value of the area when x = 3

In (a), we have

Area = (27 + 2x) * (15 + 2x)

When x = 3, we have

Area = (27 + 2 x 3) * (15 + 2 x 3)

Evaluate

Area = 693

Hence, the area is 693 square units

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The bottom row of the pile has 25 apples and the top row has 9. Each row has 4 less apples than the row below. How many apples are in the pile?

Answers

There are 90 apples in the pile and the row has 4 fewer apples than the row below.

What is an arithmetic sequence?

An arithmetic sequence is defined as an arrangement of numbers that is in a particular order.

The sum of an arithmetic sequence is the sum of the first n terms of the sequence as

Sₙ = n/2(2a+(n−1)d)

In arithmetic, here a₁ is the first term and sequence d represents the common difference.

Sum of the apples = 25 + 21 + 17 + 14 + 13 + 9

This series is in AP where a = 25 , d = - 4 and n = 6

As per the given data, the sum of apples would be as:

S₆ = 6/2(2×25+(6-1)×-4)

S₆ = 3(50 + 5×-4)

S₆ = 3(50 - 20)

S₆ = 3(30)

S₆ = 90

Therefore, there are 90 apples in the pile.

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Find the maturity value of a loan of $17104 after 4 months. The loan carries a simple interest rate of 12.5% peryear: Round to the nearest cent.O A. $17,639 50O B. $17.822.66OC. $17.816.67OD. $17.994.83

Answers

Answer: maturity value = $17816.67

Explanation:

The formula for calculating simple interest is expressed as

I = PRT

where

I is the interest

P is the principal or initial amount

R is the interest rate

T is the time in years

From the information given,

P = 17104

R = 12.5% = 12.5/100 = 0.125

We would convert 4 months to years. Recall

12 months = 1 year

4 months = 4/12 = 1/3

Thus, the interest is calculated as follows

I = 17104 x 0.125 x 1/3 = 712.67

maturity value = principal + interest

maturity value = 17104 + 712.67

maturity value = $17816.67

On Tuesday Jill bought eight posters. On
Wednesday half of all the posters that she
had were destroyed. On Thursday there
were only 22 left. How many did she
have on Monday? Write an equation using
"p" for posters. Then solve the equation
and check your answer.

Answers

The number of posters Jill had on Monday are 18.

The equation is p + 8 - 4 = 22.

Given that:-

Number of posters bought by Jill on Tuesday = 8

Number of posters left on Thursday = 22

We can write,

Number of posters destroyed on Wednesday = (1/2)*8 = 4

Let the number of posters Jill had on Monday be p.

Hence, the equation for the posters is given by:-

Posters on Monday + Posters bought on Tuesday - Posters destroyed on Wednesday = Total posters on Thursday

It can be written as:-

p + 8 - 4 = 22

Solving the equation, we get

p + 4 = 22

p = 22 - 4

p = 18

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What is 4/5 Times 10/16 in simplist form

Answers

Answer: 4/5 × 10/16 = 1/2

Step-by-step explanation:

Multiply the numerators and then multiply the denominators to get: 4/5 * 10/16 = 40/80

Simplify with the GCF (40): 40/80 / 40/40 = 1/2

And that's your simplified answer :)

13. The table shows the number of each type of seed packet a
garden center had remaining at the end of summer. Bags were
created with 20 random seed packets in each bag. How many
complete bags of seeds can be created?
Seed Type
Aster
Daisy
Pansy
Sunflower
Wildflower
Number of Packets
95
160
70

Answers

Answer:24 bags

Step-by-step explanation:

Using the given information, the number of bags created with  random seed packets is 16 complete bags of seeds and a remainder of 5 seed packets

How to find the number of bags

The number of bags created achieved by division. This is a basic mathematical operator used in sharing items

Given information

Seed Type                                 Number of Packets

Aster                                                       95

Daisy                                                       160

Pansy                                                      70

Sunflower                                                 -

Wildflower                                                -

Adding the number of packets available gives

95 + 160 + 70 = 325 seed packets

Sharing them in a bag containing 20 seed packets each we divider the total number of seed packets by 20

= 325 seed packets / 20

= 16.25

Therefore 16 bags will be created and 5 will be remaining

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