The amount of the final payment is $1,004.99.
To solve the given problem, we will use the concept of present value. We need to find the present value of the two payments due in the past, and then find the future value of the remaining payments due in the future.
Let's first find the present value of the two past payments:
PV1 = $1010 / (1 + 0.0775/12)⁵ = $868.15
PV2 = $1280 / (1 + 0.0775/12)⁰ = $1280
Next, we can find the future value of the remaining payments due in the future
FV1 = $615 x (1 + 0.0775/12)⁴ = $664.69
FV2 = X
Now we can set up an equation to solve for X, the final payment:
PV1 + PV2 = FV1 + FV2 / (1 + 0.0775/12)⁷
Substituting the values we have calculated:
$868.15 + $1280 = $664.69 + X / (1 + 0.0775/12)⁷
Simplifying and solving for X
X = ($868.15 + $1280 - $664.69) x (1 + 0.0775/12)⁷ = $1,004.99
Therefore, the amount of the final payment is $1,004.99.
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Are low elevation, high precipitation areas close or far from the ocean.
Answer:
low lying areas
Find the areas of the trapezoids.
Answer:
Area = ½* height(a+b)
Where;
a=4units
b=8units
h=6units
Therefore Area= ½*6(4+8)
= ½*6*12
=36sq.un
Answer:
24sq²
Step-by-step explanation:
Area = ( b1 + b2) x h
---------------------
2
Area = (8 + 4) x 6
---------------------
2
Area = (12) x 6
---------------------
2
A = 72/2
A = 36
A = 1/2 * b * h
A = (1/2) * 4 * 6
A = (1/2) * 24
A = 12
36 - 12 = 24sq²
I hope this helps!
The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
The scale factor between a square of dimensions 7 by 7 and a scaled copy of dimensions 21/2 by 21/2 is 3/2 or 1.5.
We know that the dimensions of the square on the left are 7 by 7, and the dimensions of the square on the right are 21/2 by 21/2.
To find the scale factor, we can divide the dimensions of the square on the right by the dimensions of the square on the left
scale factor = (21/2) / 7
We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor, which is 7
scale factor = (21/2) / 7 = (21/2) * (1/7) = 3/2
Therefore, the scale factor is 3/2, or 1.5.
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Need help on question 20. Plsss help
The calculated distance between the tree and the zip line is 9.21 units
Evaluating the distance between the tree and the zip lineFrom the question, we have the following parameters that can be used in our computation:
y = -6/7x + 7
This represents the zip line
Convert the equation to standard form
This gives
7y = -6x + 49
So, we have
6x + 7y - 49 = 0
This means that
A = 6, B = 7 and C = -49
From the point (6, 14), we have
x = 6 and y = 14
The distance between the tree and the zip line is then calculated as
[tex]d = \frac{|ax + by + c|}{\sqrt{a^2 + b^2}}[/tex]
By substitution, we have
[tex]d = \frac{|6 * 6 + 7 * 14 - 49|}{\sqrt{6^2 + 7^2}}[/tex]
This gives
[tex]d = \frac{85}{9.22}[/tex]
Divide
d = 9.21
Hence, the distance between the tree and the zip line is 9.21 units
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use the standard normal distribution table to determine the percent of data less than
z= 1.67
The percent of the data less than Z = 1.67 is ?
Step-by-step explanation:
Look at the table for z = 1.67
You have the wrong table.......the table you posted is for negative z-scores
for z -score = + 1.67 , the value is .9535 = 95.35 %
A group of students worked out the mean and range of their ages. The mean was 12 years and 3 months. The range was 2 years and 7 months. a) What was the mean of the ages of the same group of students exactly one year later? b) What was the range of their ages exactly one year later? Write a sentence to explain each of your answers.
Exactly one-year later,
(a) Mean of the ages will be 13 years and 3 months.
(b) Range of the ages will be same 2 years and 7 months.
Part (a) : To find the mean of the ages of the same group of students exactly one year later, we add one year to each student's age and find the new mean.
New mean is : 12 years and 3 months + 1 year = 13 years and 3 months;
So the mean of the ages of the same group of students exactly one year later is 13 years and 3 months.
Part (b) : The range of their ages would still be 2 years and 7 months because we are adding the same amount to all of their ages, the difference between the youngest and oldest member of the group would remain the same.
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what is the area of a parallelogram if base is 1 1/4 mi and the heigh is 3/4 mi.
Answer:
Step-by-step explanation:
A=4
b Base
1
h Height
4
b
h
a
h
h
b
a
a
P
A
b
Solution
A=bh=1·4=4 hope helps byee
A music app has a shuffle play function.
This function allows songs to be played in a random order without repeat.
Gabriella puts songs A, B and C on shuffle play.
List all the possible orders of songs A, B and C.
One has been done for you.
ABC,
Answer:ABC(Done for you)
ACB
BAC
BCA
CAB
CBA
Step-by-step explanation:
-(4-8)+(-3-7)−(−1+6) + (−2+5)=
Answer: -8
Step-by-step explanation:
Simple math. Your welcome glad to help
What is the area of sector GHJ , given that θ=pi/4 radians. Express your answer in terms of pi and as a decimal rounded to the nearest tenth. Show your work.
The area of sector GHJ is:
3.125π cm² (in terms of pi)
9.8 cm² (As a decimal rounded to the nearest tenth)
How to find the area of sector GHJ?The formula for area of a sector when the angle is in radians is:
A = (1/2) * r²θ
Where θ is the angle subtended at the center and r is the radius of the circle.
In this case, r = 5 cm and θ = π/4
Substituting:
A = (1/2) * 5² * π/4
A = 3.125π cm² (in terms of pi)
As a decimal rounded to the nearest tenth:
A = 3.125 * 22/7
A = 9.8 cm²
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Enter your answer, rounded to the nearest tenth, in the box.
Answer:
[tex]f(0) = 6.2 \sqrt{4.5} + 18 = 31.2[/tex]
(-6,-4), (0, -4), and (2,-4)
What is the equation of this line?
Answer: y = -4
Step-by-step explanation:
Based on these three given points, we can tell that this line is a horizontal line because there is no slope. All of the points have the same y-value, -4.
This means the equation of the line is:
y = -4
See attached for a visual representation. I have graphed the given points over the top of the equation we wrote for the line.
Find value of X and BD
Look at picture
The measure of length of x of the parallelogram is x = 2.36 units
Given data ,
Let the parallelogram be represented as ABCD
Now , the measure of lengths of the sides are
The measure of AB = 13x - 20
The measure of CD = 2x + 6
The measure of BC = 5x + 4
Opposite sides are parallel
Opposite sides are congruent
So , AB = CD
13x - 20 = 2x + 6
Subtracting 2x on both sides , we get
11x = 26
Divide by 11 on both sides , we get
x = 2.36 units
Hence , the parallelogram is solved and x = 2.36 units
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HELPPPPPPPPP GNG IM STURGGLING 100 POINTS
I know I asked this before but i need help asap
Answer:
15h-6k+12m
Step-by-step explanation:
The perimeter of the triangle is the sum of all of its side lengths
P=a+b+c
If a=5h-4k
b=10h+7m
c=5m-2k
Then the formula would be
P=(5h-4k)+(10h+7m)+(5m-2k)
P=15h-6k+12m
Hope this helps!
7.003x10^-5 in standard form
Answer:
0.00007003 is the standard form of 7.003x10^-5. In scientific notation, the number is expressed as 7.003 multiplied by 10 raised to the power of negative five. To convert it to standard form, the decimal point has to move to the left by five places since the exponent is negative. The resulting number is a decimal with four zeros before the first nonzero digit. Standard form is a way of representing numbers that does not use exponents and is useful in comparing and performing operations on numbers.
CAN SOMEONE HELP WITH THIS QUESTION?
Read the paragraph and choose a sentence that describes it best. Because of the association with TERFs, many feminists have stopped identifying with radical feminism. Though some of their views may be similar to the original tenets of radical feminism, many feminists no longer associate with the term because they are trans-inclusive. TERF is not just transphobic feminism; it is a violent international movement that often compromises its feminist stances to partner with conservatives, with a goal to endanger and get rid of trans people, especially transfeminine people.
Explanation:
The paragraph explains how TERFs have alienated many feminists from radical feminism and why TERF is a harmful and anti-trans movement.
Some other possible sentences are:
The paragraph discusses the impact of TERFs on radical feminism and their transphobic and violent agenda.The paragraph analyzes why many feminists have distanced themselves from radical feminism due to TERFs and how TERFs are not true feminists but transphobes.my bike tire has a radius of 12 inches how much distance will i cover after 50 rotations
Therefore , the solution of the given problem of unitary method comes out to be 50 tyre rotations, you will have covered around 376.99 inches (or about 31.41 feet).
What is a unitary method?The well-known simple approach, real variables, and any crucial elements from the very initial And specialised inquiry can all be used to finish the work. Customers may then be given another chance to try the product in response. If not, significant impacts on our understanding of algorithms will vanish.
Here,
The circumference of the circle the bike tyre forms is equal to the distance travelled in one rotation of the tyre. The following formula determines a circle's circumference:
=> C = 2πr
where the mathematical constant is roughly equivalent to 3.14159 and r is the circle's radius.
Your bicycle tyre's radius in this instance is 12 inches. The tyre's circumference is as follows:
=> C = 2π(12) = 24π inches
You may easily calculate how far you will travel after 50 spins by multiplying the tyre's circumference by the number of turns:
=> Covered distance: 50 × 24π ≈ 376.99 inches
As a result, after 50 tyre rotations, you will have covered around 376.99 inches (or about 31.41 feet).
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4. Which set of data could be represented by the box-and-whisker plot? (1 point)
O0, 3, 9, 9, 11, 14, 15, 16, 16, 18, 19, 25, 25, 28, 28, 30
O2, 3, 4, 7, 13, 15, 15, 15, 16, 17, 20, 22, 25, 25, 26, 28
O2, 6, 7, 8, 10, 11, 12, 14, 18, 20, 22, 24, 26, 27, 27, 28
O2, 2, 7, 10, 10, 11, 13, 15, 17, 20, 20, 24, 26, 27, 27, 28
A set of data that could be represented by the box-and-whisker plot include the following: D.
The median of the set of data is equal to 10.
What is a box-and-whisker plot?In Mathematics and Statistics, a box-and-whisker plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.
Based on the information provided about the data set (2, 2, 7, 10, 10, 11, 13, 15, 17, 20, 20, 24, 26, 27, 27, 28), the five-number summary for the given data set include the following:
Minimum (Min) = 2.
First quartile (Q₁) = 16.
Median (Med) = 10.
Third quartile (Q₃) = 25.5.
Maximum (Max) = 28.
In conclusion, we can logically deduce that the median of the data set is 10 and it has no outlier.
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helpppppp pleaseeeee
When -3 (row 1) is added to row 2, the result would be [ 1 - 4 | 8 ]
[ 0 10 | 10 ].
How to add the matrix ?The first thing to do is to multiply each element in row 1 by - 3 :
- 3 x 1 = - 3
- 3 x - 4 = 12
- 3 x 8 = - 24
Then, we need to add the result to the elements in row 2:
3 + ( - 3 ) = 0
- 2 + 12 = 10
10 + ( - 24 ) = - 14
The resulting matrix would therefore be:
[ 1 - 4 | 8 ]
[ 0 10 | - 14 ]
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ALPHABET Which of the following letters
contain at least one acute angle? Which
contain vertical angles? Which contain
adjacent angles?
A E L X
The letters "L" and "X" both contain adjacent angles, as adjacent angles are angles that share a common vertex and side. In both letters, there are two angles that share a vertex and a side.
What is Acute angle ?
An acute angle is an angle that measures between 0 and 90 degrees. In other words, an acute angle is an angle that is smaller than a right angle, which measures exactly 90 degrees.
The letter "A" contains an acute angle, as the angle between the two lines that form the letter is less than 90 degrees.
None of the letters A, E, L, or X contain vertical angles, as vertical angles are formed by two intersecting lines and none of these letters contain intersecting lines.
Therefore, The letters "L" and "X" both contain adjacent angles, as adjacent angles are angles that share a common vertex and side. In both letters, there are two angles that share a vertex and a side.
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Rectangle ABCD and A’B’C’D’ are similar.
a. What is the scale factor from ABCD to
A’B’C’D’?
b. What is the scale factor from A’B’C’D’ to
ABCD?
Where Rectangle ABCD and A’B’C’D’ are similar.
a. the scale factor from ABCD to A’B’C’D’ is 1/2
b. What is the scale factor from A’B’C’D’ to ABCD is 2
What is scale factor?In mathematics, a scale factor is the ratio of matching measurements of an item to a representation of that thing. The copy will be bigger if the scaling factor is a full number. The duplicate will be smaller if the scaling factor is a fraction.
When the scale factor is less than one, you are going from big to small. You are dilating negatively.
When you are going from small to big, you scale factor is reversed. In this case, we had 1/2 in a, in b it became 2/1 which = 2.
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Full Question:
Rectangle ABCD and A’B’C’D’ are similar.
a. What is the scale factor from ABCD to A’B’C’D’?
b. What is the scale factor from A’B’C’D’ to ABCD?
See attached image.
Solve the quadratic equation by completing the square.
2
x² - 4x-10=0
First, choose the appropriate form and fill in the blanks with the correct num
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
In this figure, ∠1 and ∠2 are located on a line.
Let m∠1=x° and m∠2=(4/5 x)°.
What is the value of x?
Answer:
x = 100
Step-by-step explanation:
1 and 2 are a linear pair and sum to 180° , that is
x + [tex]\frac{4}{5}[/tex] x = 180 ( multiply through by 5 to clear the fraction )
5x + 4x = 900
9x = 900 ( divide both sides by 9 )
x = 100
A soccer ball is kicked in the air off a 27.0-meter high hill. The equation h(t) = -2t^2 + 4t + 27 gives the approximate height h, in meters, of the ball t in seconds after it is kicked. Does the ball reach a height of 40 m?
The ball reaches a height of 40 meters at approximately 3.38 seconds after it is kicked.
To determine if the ball reaches a height of 40 meters, we can substitute h(t) = 40 into the equation and solve for t.
40 = -2t² + 4t + 27
Rearranging the terms, we get:
2t² - 4t - 13 = 0
We can solve for t using the quadratic formula:
t = [4 ± √(4² - 4(2)(-13))]/(2(2))
t = [4 ± √(176)]/4
t ≈ 3.38 or t ≈ -0.88
Since time cannot be negative, we can discard the negative solution. Therefore, the ball reaches a height of 40 meters at approximately 3.38 seconds after it is kicked.
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C & J Realty has received 16 inquiries from prospective home buyers. In how many ways can the inquiries be directed to any two of the firm's real estate agents if each agent handles eight inquiries?
There are 6435 ways to direct the inquiries to any two of the firm's real estate agents.
What is combinations?
Combinations are a mathematical concept used to count the number of ways that a certain number of items can be selected from a larger set of items without regard to the order in which they are selected.
We can use combinations to solve this problem. We need to choose 8 inquiries out of 16 for the first agent, and the remaining 8 inquiries will be handled by the second agent.
The number of ways to choose 8 inquiries out of 16 is:
C(16, 8) = 16! ÷ (8! * (16-8)!) = 12870
This is the number of ways the inquiries can be directed to one agent. Since there are two agents and each handles 8 inquiries, we need to divide this number by 2 to avoid counting each arrangement twice:
12870 ÷2 = 6435
Therefore, there are 6435 ways to direct the inquiries to any two of the firm's real estate agents.
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where should the linear inequality y ≤ 1/4 x- 3 be shaded?
The required direction of the inequality is below the line.
How to find the direction of inequality in graph?If you're not graphing a vertical line, the inequality's sign will tell you which half-plane to shade. Shade above the line when using the or > sign. Shade below the line if the symbol or is used. Larger solutions are to the right and smaller solutions are to the left, respectively, for a vertical line.
According to question:To check the direction, we will take points from the graph and put in the given inequality.
At point (2, 0)
y ≤ x/4 - 3
0 ≤ 2/4 - 3
0 ≤ -25
It is false
Again
At (2, -4)
y ≤ x/4 - 3
-4 ≤ 2/4 - 3
-4 ≤ -2.5
It is true,
Thus, we can say the direction of the inequality is below the line.
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Factor the polynomial completely. If the polynomial is prime, so state.
x2 - x - 35
The given polynomial is a prime polynomial.
The given polynomial is
x² - x + 35
Since we know that discriminant of quadratic polynomial
p(x)= ax² + bx + c is b² - 4ac
Therefore, discriminant of the given polynomial be,
⇒ (-1)² - 4x1x35
⇒ - 139
Since discriminant is negative number so it has no real roots.
And an irreducible or primal polynomial is a polynomial with integer coefficients that cannot be factored into polynomials of lower degree and also with integer coefficients.
Hence it is not factored completely.
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Guadalupe's credit card has an APR of 23%, calculated on the previous monthly balance, and a minimum payment of 2%, starting the month after the first purchase. Her credit card record for the last 7 months is shown in the table below. End of month 2 3 5 6 7 Previous balance $0.00 $900.00 $899.25 $898.50 $897.75 $897.00 $896 26 New charges $900.00 $0.00 $0.00 $0.00 $0.00 $0.00 $0.00 Payment Finance Principal received charges paid $0.00 $0.00 $0.00 $18.00 $17.99 $17.97 $17.96 $17.94 $17.93 How is the new balance calculated? $17.25 $17.24 $17.22 $17.21 $17.19 $17.18 $0.75 $0.75 $0.75 $0.75 $0.75 $0.75 New balance $900.00 $899.25 $898.50 $897.75 $897.00 $896.26 $895.51
Answer:$909.03
Step-by-step explanation:he new balance on Guadalupe's credit card is calculated as follows:
First, we calculate the interest charged on the previous balance. Since the APR is 23%, the monthly interest rate is 23%/12 = 1.92%. So the interest charged on the previous balance for the month is:
Interest = Previous balance x Monthly interest rate
= $900.00 x 1.92%
= $17.28
Next, we add the finance charge, which is calculated as 1% of the previous balance plus any new charges. So the finance charge for the month is:
Finance charge = 1% x (Previous balance + New charges)
= 1% x ($900.00 + $0.00)
= $9.00
The total amount due is the sum of the previous balance, the interest charged, and the finance charge:
Total amount due = Previous balance + Interest + Finance charge
= $900.00 + $17.28 + $9.00
= $926.28
The minimum payment due is 2% of the total amount due, which is:
Minimum payment = 2% x Total amount due
= 2% x $926.28
= $18.53
If the minimum payment is less than $25, the minimum payment due is $25. So in this case, the minimum payment due is $25.
Guadalupe made a payment of $18.00, which is less than the minimum payment due, so she will be charged a late fee in addition to the interest on the unpaid balance.
The principal paid is the difference between the payment made and the interest charged, which is:
Principal paid = Payment - Interest
= $18.00 - $17.28
= $0.72
The new balance is the sum of the previous balance, any new charges, and the interest charged, minus the payment made, plus any finance charge and late fee:
New balance = Previous balance + New charges + Interest - Payment + Finance charge + Late fee
= $900.00 + $0.00 + $17.28 - $18.00 + $9.00 + $0.75
