A reasonable prediction for the number of times a dime will be drawn is approximately 90.
What is probability?Probability is the measure of how likely it is that an event will happen. The event is expressed as a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty. Probability is used in many areas, such as mathematics, science, engineering, and finance. For example, in mathematics, probability is used to determine the likelihood of an event occurring or a certain outcome occurring.
When 2 dimes, 2 nickels, and 1 penny are placed into a bag, there are 5 total coins. Therefore, the probability of drawing a dime is 2/5. When a coin is drawn and replaced 175 times, the probability of drawing a dime will remain the same (2/5) and the expected value of drawing a dime is 175*2/5 = 90. Since this is a reasonable prediction, it is a valid solution.
For more questions related to event,
https://brainly.com/question/12961938
#SPJ1
6. The height of Martin's rectangular door is 8
inches more than 3 times the width. If w
represents the width of the door, write an
expression
to represent the area of the door.
The expression that represents the area of the given door is (3w+8)w.
What are expressions?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.
A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.
This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
So, we know that:
width = w
And we also know that:
length = 3w + 8
Now, the area formula is:
l*w
Insert values as follows:
l*w
(3w + 8)w
Therefore, the expression that represents the area of the given door is (3w+8)w.
Know more about expressions here:
https://brainly.com/question/1859113
#SPJ9
please help me here mathematical literacy grade 12
1. The loan term of the truck is 5 years.
2. The contractor has to pay R30,801.67 per month towards the truck, including the insurance cover amount.
3. In in June 2022, the contractor owed the financer R669,050.10, excluding the insurance amount.
How to calculate the amount1. The loan term of the truck in years is calculated as follows:
Number of years = Loan term in months / 12
Number of years = 60 months / 12
Number of years = 5 years
Therefore, the loan term of the truck is 5 years.
2. Monthly repayments = Monthly instalment of the truck + Insurance premium
Monthly repayments = R22,301.67 + R8,500
Monthly repayments = R30,801.67
Therefore, the contractor has to pay R30,801.67 per month towards the truck, including the insurance cover amount.
3. Number of instalments paid = Loan term in months / 2
Number of instalments paid = 60 months / 2
Number of instalments paid = 30 months
The total amount of money owed to the financer excluding the insurance in June 2022 would be:
Total amount owed = Remaining instalments x Monthly instalment of the truck
Total amount owed = (Loan term in months - Number of instalments paid) x Monthly instalment of the truck
Total amount owed = (60 months - 30 months) x R22,301.67
Total amount owed = 30 months x R22,301.67
Total amount owed = R669,050.10
Therefore, in June 2022, the contractor owed the financer R669,050.10, excluding the insurance amount.
The significance of including an insurance cover when a contractor purchases a water tanker is to protect the asset from unforeseen circumstances such as accidents, theft, or damage. If the contractor did not have insurance, they would have to pay for any repairs or replacements out of pocket, which could be expensive and financially devastating. Insurance also provides peace of mind and allows the contractor to focus on their business operations without worrying about potential risks to their asset.
Learn more about loan on;
https://brainly.com/question/29593739
#SPJ1
Equivalent ratios
Problem
Select three ratios that are equivalent to 8:5
Choose 3 answers:
A
16:10
B
50:80
C
48:30
D
32:20
E
64:35
Answer: Three equivalent ratios of 8 : 5 are 16 : 10, 24 : 15 and 32 : 20.
Step-by-step explanation:
Use the Distributive Property to expand 7(6+x) 7 ( 6 + x ) .
Answer:
See below
Step-by-step explanation:
[tex]7(6+ x)[/tex] = [tex](7)(6) + (7)(x)[/tex]
= [tex]42 + 6x[/tex]
Data from 2020 indicate the U.S. was growing at yearly rate of 0.59%. The population of the U.S. that year was about 332 million, so a formula for the population P of the U.S. at time/ years after 2020 can be given by P(t) = 332(1.0059)^t, in
millions.
(a) Write a formula for the population of the U.S. at time/ years after 2020, of the form
P(t)=aekt. Show your work. Round the growth factor k to 5 decimals.
please please please could someone explain how to do this and show work!!!
The exponential growth equation is P ( t ) = 332 ( 1.0059 )^t , where t is the number of years and P ( t ) is the population after 2020
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the initial population be represented as x₀
Now , the value of x₀ = 332 million
And , the exponential growth rate r = 0.59 %
where the population of the U.S. at time/ years after 2020 is of the form equation P( t ) = aekt
On simplifying , we get
The population of the U.S. at a time P ( t ) = 332 ( 1 + 0.59% )^t
Now , the value of P ( t ) is
The population of the U.S. at a time P ( t ) = 332 ( 1 + 0.0059 )^t
The population of the U.S. at a time P ( t ) = 332 ( 1.0059 )^t
where the growth factor k = 1.0059
Hence , the exponential growth equation is P ( t ) = 332 ( 1.0059 )^t
To learn more about exponential growth factor click :
https://brainly.com/question/13674608
#SPJ1
PLEASE HELP WILL MARK BRAINLIEST!
1) when a certain polynomial is divided by x+3, the quotient is x^2-3x+5 and the remainder is 6. what is the polynomial?
2) when a certain polynomial is divided by x-2, the quotient is x^2+4x-7 and the remainder is -4. what is the polynomial?
Use the model below to calculate 2/3 x 3/4
Which symbol correctly compares the two angles?
60° __ π/6
A. =
B. <
C. >
Answer:
c
Step-by-step explanation:
60>30 since pi is 180 ........
9. A service station charges $195 for
two tires and installation. If the
installation portion of the bill is $23,
what is the price of one tire? Write
and solve an equation.
Answer:
it's 10 I think.you got to write the steps outTriangle ABC is shown. Use the graph to answer the question. triangle ABC on a coordinate plane with vertices at 1 comma negative 2, 9 comma negative 2, 5 comma 2 Determine the coordinates of the image if triangle ABC is translated 4 units down. A′(1, −6), B′(9, −6), C′(5, −2) A′(1, 2), B′(9, 2), C′(5, 6) A′(5, −2), B′(13, −2), C′(9, 2) A′(−3, −2), B′(5, −2), C′(1, 2)
The correct answer is A′(−3, −2), B′(5, −2), C′(1, 2). The coordinates of the original triangle ABC are (1, -2), (9, -2), and (5, 2). Therefore, the coordinates of the image are A′(−3, −2), B′(5, −2), C′(1, 2).
What are coordinates?Coordinates are used to describe a point in space or on a map. They are usually written as two numbers, which represent the position of the point on an x-axis and a y-axis. Coordinates can be used in a variety of ways, such as to describe the location of a specific object or to identify the boundaries of an area.
Triangle ABC is an example of a transformation in which the shape is shifted without changing its size or orientation. When a shape is translated, it is moved from one place to another without changing its size or orientation. In this case, the triangle is being translated 4 units down.
To calculate the new coordinates of the triangle, we need to subtract 4 from the y-coordinate of each of the vertices. The original coordinates of the triangle are (1, −2), (9, −2), and (5, 2). After subtracting 4 from each of the y-coordinates, the new coordinates of the triangle are (1, −6), (9, −6), and (5, −2). This means that the new coordinates of the triangle are A′(−3, −2), B′(5, −2), and C′(1, 2).
For more questions related to triangle,
https://brainly.com/question/2773823
#SPJ1
The cοrrect answer is A′(−3, −2), B′(5, −2), C′(1, 2). The cοοrdinates οf the οriginal triangle ABC are (1, -2), (9, -2), and (5, 2). Therefοre, the cοοrdinates οf the image are A′(−3, −2), B′(5, −2), C′(1, 2).
What are cοοrdinates?Cοοrdinates are used tο describe a pοint in space οr οn a map. They are usually written as twο numbers, which represent the pοsitiοn οf the pοint οn an x-axis and a y-axis. Cοοrdinates can be used in a variety οf ways, such as tο describe the lοcatiοn οf a specific οbject οr tο identify the bοundaries οf an area.
Triangle ABC is an example οf a transfοrmatiοn in which the shape is shifted withοut changing its size οr οrientatiοn. When a shape is translated, it is mοved frοm οne place tο anοther withοut changing its size οr οrientatiοn. In this case, the triangle is being translated 4 units dοwn.
Tο calculate the new cοοrdinates οf the triangle, we need tο subtract 4 frοm the y-cοοrdinate οf each οf the vertices. The οriginal cοοrdinates οf the triangle are (1, −2), (9, −2), and (5, 2). After subtracting 4 frοm each οf the y-cοοrdinates, the new cοοrdinates οf the triangle are (1, −6), (9, −6), and (5, −2). This means that the new cοοrdinates οf the triangle are A′(−3, −2), B′(5, −2), and C′(1, 2).
For more questions related to triangle,
brainly.com/question/2773823
#SPJ1
Rewrite the equation using the distributive property and solve for x.
5 ( x -1) = 25
please show all steps clearly if you answer.
Find the length of the third side. If necessary, write in simplest radical form. 7 √51
The third side of the triangle is 8
Pythagoras' theorem:Pythagoras' theorem is a fundamental principle in geometry that describes the relationship between the sides of a right triangle.
It states that: In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Here we have
A right-angled triangle
From the figure
The sides of the triangle are 7 and √15
As we know from Pythagoras' theorem
=> Hypotenuse² = side² + side²
Substitute the above values in the condition
=> Hypotenuse² = (7)² + (√15)²
=> Hypotenuse² = 49 + 15
=> Hypotenuse² = 64
=> Hypotenuse = 8
Therefore,
The third side of the triangle is 8
Learn more about Right angled triangle at
https://brainly.com/question/26171983
#SPJ1
Complete Question is given picture
If a populstion takes 10 years to double in size then find to the nearest tenths of a percent the relative frowth rate of the population
Is (0, 6) a solution to the equation y = -x + 6?
Yes or No
Answer:
Yes
Step-by-step explanation:
We just need to (0,6) in the equation to see if it gives a true answer or not!
y = -x + 6
6 = 0 + 6
6 = 6
So, (0,6) is a solution to the equation y = -x + 6
students were asked to choose their favorite subject if 2/9 of the students chose history and 3/9 chose biology what fraction chose either history or biology
Answer:
Step-by-step explanation:
To relate the angular motion of the hour hand (h) and the angular motion of the second hand (s), we can use the following formula:
h = (s/360) * 30
The second hand makes a full rotation of 360 degrees in one minute, so in 60 minutes (or one hour), it rotates 21,600 degrees. We know that during this time, the hour hand moves 30 degrees.
Therefore, the equation relating h and s is h = (s/360) * 30.
Classify the triangle below as Right, Obtuse, or Acute
The triangles are classified as:
4. Acute 5. Obtuse 6. Obtuse 7. Acute 8. Obtuse 9. Acute 10. Obtuse
How to Classify Triangles as Right, Obtuse, or Acute?To classify a triangle as right, obtuse, or acute, we need to apply the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
If the square of the hypotenuse is greater than the sum of the squares of the other two sides, then the triangle is obtuse. If the square of the hypotenuse is less than the sum of the squares of the other two sides, then the triangle is acute.
4. To check if this is a right triangle, we need to find if 9² is equal to 4² + 6², which is not true, so the triangle is acute.
5. To check if this is a right triangle, we need to find if 16² is equal to 10² + 12², which is not true, so the triangle is obtuse.
6. To check if this is a right triangle, we need to find if (8√6)² is equal to 8² + 16², which is not true, so the triangle is obtuse.
7. To check if this is a right triangle, we need to find if 29² is equal to 20² + 21², which is true, so the triangle is acute.
8. To check if this is a right triangle, we need to find if √73² is equal to 3² + 8², which is not true, so the triangle is obtuse.
9. To check if this is a right triangle, we need to find if 12² is equal to 8² + 10², which is true, so the triangle is acute.
10. To check if this is a right triangle, we need to find if (3√34)² is equal to 9² + 15², which is not true, so the triangle is obtuse.
Learn more about classifying triangles on:
https://brainly.com/question/29677572
#SPJ1
Review the graph of function f(x), which is defined for –6 ≤ x ≤ 8. On a coordinate plane, a line goes from closed circle (negative 6, 6) to closed circle (2, negative 8). A line goes from open circle (2, 0) to closed circle (8, 6). Which one-sided limit does not exist? Limit of f (x) as x approaches 2 plus Limit of f (x) as x approaches 2 minus Limit of f (x) as x approaches negative 6 plus Limit of f (x) as x approaches negative 6 minus
The limit of f(x) as x approaches -6 from the positive side is 6.
When x gets closer to 2 on the positive side, we can see that the function seems to be heading towards a value of -8. As a result, f(x) has a limit of -8 as x approaches 2 from the positive side.
The function seems to be heading towards a value of 6 when x approaches 2 from the negative side. Hence, when x gets closer to 2 from the negative side, the limit of f(x) is 6.
The function seems to be getting closer to a value of 6 when x approaches -6 from the positive side. Hence, as x gets closer to -6 on the positive side, the limit of f(x) is equal to 6.
To know more about Graph Function visit:
https://brainly.com/question/29163305
#SPJ1
Please explain and show all of your work.
In Triangle LMO, T is the midpoint of LM, J is the midpoint of MO, and P is the midpoint of LO. Also, LT 9, JM = 12, and OL = 32.
What is the perimeter of the Triangle TJP?
Answer:
Step-by-step explanation:
We are given that T is the midpoint of LM, J is the midpoint of MO, and P is the midpoint of LO. This means that LT = TM, JO = OM, and LP = PO.
We can use this information to find the lengths of the sides of triangle LMO. Since T is the midpoint of LM, we have LT = TM = 9. Similarly, since J is the midpoint of MO, we have JO = OM = 12. Finally, since P is the midpoint of LO, we have LP = PO = (LO)/2 = 32/2 = 16.
Now, we can use the Pythagorean theorem to find the length of the third side, LM:
LM^2 = LT^2 + TM^2
LM^2 = 9^2 + 16^2
LM^2 = 337
LM = sqrt(337)
Therefore, the perimeter of triangle LMO is:
LM + MO + LO = sqrt(337) + 2(12) + 32
Perimeter = sqrt(337) + 56
To find the perimeter of triangle TJP, we need to find the lengths of the sides TJ, JP, and TP. Since T and J are midpoints of their respective sides, we know that TJ = 2(LT) = 18 and JP = 2(JO) = 24. To find TP, we can use the Pythagorean theorem:
TP^2 = TJ^2 + JP^2
TP^2 = 18^2 + 24^2
TP^2 = 900
TP = 30
Therefore, the perimeter of triangle TJP is:
TJ + JP + TP = 18 + 24 + 30
Perimeter = 72
Therefore, the perimeter of triangle TJP is 72.
Solve for X using the info below.
The value of x in the diagram is 12.5
What are similar shapes?Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles (meaning the angles in the same places of each shape are the same) and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.
The ratio of the corresponding sides of similar shapes are equal.
Therefore;
3x/60 = 5x/8x
3x/60 = 5/8
300 = 24x
divide both sides by 24
x = 300/24
x = 12.5
therefore the value of x is 12.5
learn more in about similar shapes from
https://brainly.com/question/28719932
#SPJ1
Please help!! (Question is provided below)
The height c of the flagpole c is 5.5 metres.
How to find the side of a triangle?The triangles formed by the two flags are similar.
Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.
The distance between flag a is 12 metres.
The distance form the flag c to s is 10 metres.
The height of the flagpole a is 12.1 metres.
Therefore, let's find the height of the pole c.
Hence, using proportion,
12.1 / c = 22 / 10
cross multiply
121 = 22c
divide both sides by 22
c = 121 / 22
c = 5.5
Therefore,
height of the flagpole c = 5.5 metres
learn more on triangle here: https://brainly.com/question/17307037
#SPJ1
1. Olivia finds a combination of two different transformations that moves ABCDE onto A"B"C"D"E". What is one way she might have done this? (3 points)
2. Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E". (3 points)
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not. (4 points)
Using the graphs, Olivia is correct if she used one of those two approaches. Michael and Angelica both use the wrong strategies.
What are graphs?An organised-representation of the data is all that the graph is. It facilitates our understanding of the facts. Data is the term used to describe the numerical information obtained through observation.
The development of a research question is followed by the ongoing observational collection of data. The data is then organised, distilled, categorises, and visually represented.
Information and data have different purposes: Data is an unadorned truth; information is the meaning that can be inferred from data.
Challenge 1
Olivia may have, for example, translated 10 units to the right after reflecting over the x axis.
Let's use point C to apply this series of steps.
C = (-2,-4) (-2,-4)
After reversing the x axis, C' becomes (-2,4); the y coordinate changes sign, and C" becomes (8,4) after moving to the right by 10 units. The x coordinate is then increased by 10.
The graphic shows that point C (-2, -4) shifts to C"(8,4). The other four points I'll let you investigate.
Olivia may have also tried shifting 10 units to the right before reflecting across the x axis. The sequence here is irrelevant. Order does important, though, for several other combinations of transformations.
Challenge 2
The point (x,y) will become after reflection across the y axis (-x,y). Here, the sign is reversed, and only the x coordinate changes. The y coordinate remains constant.
With the y axis reflection, a point like C (-2, -4) becomes C'(2, -4). By moving up 8 units, we get at C"(2,4) by adding 8 to the y coordinate, but this is not what the graphic displays. Thus, Angelica's approach is flawed.
The last four points should also contain other contradictions, as well.
Challenge 3
Even Michael's approach is flawed. Instead of using an x axis reflection, he completely relies on translations to change ABCDE into A"B"C"D"E".
Quick inspection suggests that Michael might be right. Yet, if you examine much more closely, you'll notice that things aren't exactly in line.
This time, we'll choose point D rather than point C.
D can be found at (-6, -2). To reach D' if we move up 8 units, we must add 8 to the y coordinate (-6,6). Then, to move 10 units to the right, add 10 to the x coordinate. And brings us to D" (4,6).
The diagram, however, reveals that D" is actually at (4,2)
Let you examine the other points, please. The only points that should go to the right places are C and E; the remaining points should not. Once more, Michael's failure to apply an x axis reflection is to blame. His A"B"C"D"E" figure is reversed from how it should have been.
To sum up, the strategies mentioned in problem 1 are the proper ones to use in order to make ABCDE go to A"B"C"D"E. Olivia is correct if she used one of those two approaches. Michael and Angelica both use the wrong strategies.
To know more about graphs, visit:
https://brainly.com/question/17267403
#SPJ1
ASAP 40 points
Graphs of exponential functions either increase or decrease for all x-values.
True or
False
It is true that graphs exponential functions either increase or decrease for all x-values.
How to define an exponential function?An exponential function is defined as follows:
y = ab^x.
In which:
a is the initial value.b is the rate of change, as a decimal.An exponential function can either increase or decrease depending on the values of a and b, however the behavior is uniform, meaning that it is true that graphs exponential functions either increase or decrease for all x-values.
More can be learned about exponential functions at https://brainly.com/question/30374198
#SPJ1
Classify the triangle below as Right, Obtuse, or Acute
The triangles include:
4) Acute5) Obtuse6) Obtuse7) Right8) Right9) Obtuse10) ObtuseHow to classify triangles?
4) To determine if a triangle is right, obtuse, or acute, we need to use the Pythagorean Theorem to determine if the square of the longest side equals the sum of the squares of the other two sides.
Here, the longest side is 9, and the other two sides are 6 and 7.
9² = 6² + 7²
81 = 36 + 49
81 = 85
Since 81 is not equal to 85, the triangle is not a right triangle. To determine if it's obtuse or acute, we need to check the cosine of the largest angle using the Law of Cosines.
cos A = (b² + c² - a²) / 2bc
Let's choose 9 as side a, since it's the largest side:
cos A = (6² + 7² - 9²) / (84)
cos A = 0.048
Since cos A is positive, angle A is acute. Therefore, the triangle is acute.
5) Using the same process as above:
16² = 10² + 12²
256 = 100 + 144
256 = 244 + 12
Since 256 is greater than 244, the triangle is obtuse.
6) Again, using the same process as above:
(8√6)² = 8² + 16²
192 = 64 + 256
192 = 320
Since 192 is less than 320, the triangle is obtuse.
7) 29² = 20² + 21²
841 = 400 + 441
841 = 841
Since 841 is equal to 841, the triangle is a right triangle.
8) √73 is greater than 8 and 3, so it must be the largest side.
(√73)² = 8² + 3²
73 = 64 + 9
73 = 73
Since 73 is equal to 73, the triangle is a right triangle.
9) 12² = 8² + 10²
144 = 64 + 100
144 = 164 - 20
Since 144 is less than 164, the triangle is obtuse.
10) 15² = 9² + (3√34)²
225 = 81 + 306
225 = 387 - 162
Since 225 is less than 387, the triangle is obtuse.
Learn more on triangles here: https://brainly.com/question/1058720
#SPJ1
Suppose that 10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years.
a. Let's consider your existing mortgage:
i. How much money did you pay as your down payment?
ii. How much money was your mortgage (loan) for?
iii. What is your current monthly payment?
iv. How much total interest will you pay over the life of the loan?
b. This year, you check your loan balance. Only part of your payments have been going to pay down the loan; the rest has been going towards interest. You see that you still have $88,536 left to pay on your loan. Your house is now valued at $150,000.
i. How much of the loan have you paid off? (i.e., how much have you reduced the loan balance by? Keep in mind that interest is charged each month - it's not part of the loan balance.)
ii. How much money have you paid to the loan company so far?
iii. How much interest have you paid so far?
iv. How much equity do you have in your home (equity is value minus remaining debt)
i. The down payment is $11,000
ii. The mortgage (loan) was for $99,000.
iii. The current monthly payment is $471.15.
iv. Total interest is $169,334.00.
Down payment:The down payment is the initial payment made when purchasing a home, typically expressed as a percentage of the total purchase price.
Mortgage (loan):In the given problem, the mortgage (loan) is the amount of money borrowed to purchase the home, which is equal to the purchase price of the home minus the down payment.
Here we have
Problem 1:
10 years ago you bought a home for $110,000, paying 10% as a down payment, and financing the rest at 9% interest for 30 years.
The down payment was 10% of the purchase price of the home
=> Down payment = 10% of $110,000
= [10/100] × $110,000 = $11,000
∴ You will be paid $11,000 as your down payment.
Amount borrowed = the purchase price of the home - Down payment
=> Amount borrowed = $110,000 - $11,000 = $99,000
∴ Your mortgage (loan) was for $99,000.
To calculate the current monthly payment, use the formula for the monthly payment of a fixed-rate mortgage:
P = (A / D) x (r / 12)
Where:
A = amount borrowed
D = discount factor, i.e calculated as (1 - (1 + r / 12)⁻ⁿ)
r = monthly interest rate,
n = total number of payments,
=> P = ($99,000 /124.4) x 0.0075 = $471.15
∴ The current monthly payment is $471.15.
The formula for total interest = (P x n) - A
=> Total interest = ($471.15 x 360) - $99,000 = $169,334.00
∴ You will pay a total of $169,334.00 in interest over the life of the loan.
Therefore,
i. The down payment is $11,000
ii. The mortgage (loan) was for $99,000.
iii. The current monthly payment is $471.15.
iv. Total interest is $169,334.00.
Problem 2
This year, you check your loan balance. You see that you still have $88,536 left to pay on your loan. Your house is now valued at $150,000.
i. Amount paid off = Original loan amount - Current loan balance
Original loan amount = $99,000
Current loan balance = $88,536
Amount paid off = $99,000 - $88,536
Amount paid off = $10,464
∴ you have paid off $10,464 of the loan.
ii. Total paid = Monthly payment x Number of payments
P = ($99,000 / 207.483) x 0.0075
P ≈ $471.15
The number of payments is the number of months since you took out the loan. Since the loan was taken out 10 years ago, or 120 months ago, the number of payments is 120.
Total paid = $471.15 x 120
Total paid = $56,538
∴ you have paid $56,538 to the loan company so far.
iii. To determine how much interest you have paid so far, we need to subtract the amount paid off from the total amount paid:
Interest paid = Total paid - Amount paid off
Interest paid = $56,538 - $10,464
Interest paid = $46,074
∴ you have paid $46,074 in interest so far.
iv. Equity = Current value of the home - Current loan balance
Equity = $150,000 - $88,536
Equity = $61,464
∴ you have $61,464 of equity in your home.
Learn more about Down payments at
https://brainly.com/question/11615646
#SPJ1
Which of the following represents vector vector u equals vector RS in linear form, where R (–25, 5) and S (–36, 11)?
v = –11i + 6j
v = 11i + 6j
v = 6i – 11j
v = –6i +11j
The vector V in linear form will be v = –11i + 6j i.e. A.
What exactly is a vector?In mathematics, a vector is a mathematical object that has both magnitude and direction. It is typically represented as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.
Now,
Vector RS can be represented as the difference between the coordinates of R and S:
RS = S - R
RS = (-36, 11) - (-25, 5)
RS = (-36 + 25, 11 - 5)
RS = (-11, 6)
To represent RS in linear form, we can use the components of the vector as coefficients of the basis vectors i and j:
RS = -11i + 6j
Therefore,
the correct option is v = -11i + 6j.
To know more about vector visit the link
https://brainly.com/question/29740341?referrer=searchResults
#SPJ1
Answer:
A is right
Step-by-step explanation:
The equation of the line of best fit representing the data
on a scatter plot is y = 3.2x + 25. Based on the line of
best fit, which prediction is most reasonable for the
difference in y-values when the x-values are 20 and 35?
A. 48
B. 73
C. 88
D. 33
48
The line of best fit has the following equation
y = 3.2x + 25
Since the x-values are 20 and 35, we must enter these values into the equation and subtract them to determine the difference in the y-values:
y(20) - y(35) = (3.220 + 25) - (3.235 + 25)
y(20) - y(35) = (64 + 25) - (112 + 25)
y(20) - y(35) = 89 - 137
y(20) - y(35) = -48
For x-values of 20 and 35, 48 is the most logical prediction for the difference in y-values.
Thus, Option (A) 48 is the correct answer.
To learn more about the equation of a line:
https://brainly.com/question/18831322
Are the triangles similar? Yes or no
HELP PLSS ITS HW:))
which mathematical symbols are used to indicate that the endpoints of an interval are not included in the graph of an inequality?
Answer:
The mathematical symbols used to indicate that the endpoints of an interval are not included in the graph of an inequality are "<" and ">" signs with a small circle or parenthesis next to them.
The symbol "<" with a circle or parenthesis on the right side indicates that the endpoint is not included, while the symbol ">" with a circle or parenthesis on the left side indicates that the endpoint is not included.
For example, the inequality x > 3 indicates that the variable x is greater than 3, but does not include 3 in its solution set. Similarly, the inequality y < -2 with a circle or parenthesis on the left side indicates that the variable y is less than -2, but does not include -2 in its solution set.
Step-by-step explanation:
a) Order the following values from smallest
to largest:
0.8, 0.4,
5
10'
7
10
b) Write a sentence to explain the method
you used.
PLEASE DO IT
I’ll give 25 points
Answer:
Step-by-step explanation 0.4 0.8 5 7 10, 10
Means and Mean Absolute Deviations of
Individual Times of Members of 4 times 400 meter Relay Track Teams
Team A
Team B
Mean
59.32 s
59.1 s
Mean Absolute Deviation
1.5 s
2.4 s
What is the ratio of the difference in the means of the two teams to the mean absolute deviation of Team B?
9% percent of Team B’s mean absolute deviation is the difference in the mean of the individual times of members.
What is Mean?The result of dividing the sum of a set of values by the total number of values in the set is mean.
The average distance between each observation and the mean is shown via a measure of variability known as the mean absolute deviation (MAD).
The middle value in a sorted, ascending or descending list of numbers is known as the median, and it has the potential to describe a data collection more accurately than the average does.
To learn more about Mean, visit:
https://brainly.com/question/1136789
#SPJ1