It shtbe noted that 68% of the data should fall in the interval from 616 to 756.
How to explain the informationz score for values:
z = (X-µ)/σ = (616-686)/70 = -1
z = (X-µ)/σ = (756-686)/70 = 1
Approximately 68% of the data should fall in the interval from 616 to 756.
b) B. 71% of the data falls in the interval from 616 to 756. The estimate is very close to the value predicted by the Empirical Rule.
c) (µ - 2*σ, µ + 2*σ)
(686 - 2*70, 686 + 2*70)
(546, 826)
You expect to find about 95% of the teams between the two values 546 and 826.
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15th term of 2, 10, 18, 26, 34
Step-by-step explanation:
a1 = 2
a2 = 10
d = a2 - a1 = 10 - 2 = 8
a15 = a + 14d = 2 + 14(8) = 2 + 112 = 114
Answer:
2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114
Step-by-step explanation:
all you do is add 8 each time
Find the value of x. Then find the area of the triangle.
Step-by-step explanation:
first of all, remember, the sum of all angles in a triangle is always 180°.
now, we see that both bottom angles are 45°.
that means
180 = 45 + 45 + top-angle
90° = top-angle
aha ! we are dealing with a right-angled triangle, that is also isoceles (both legs are equally long, because the angles with the baseline are equal).
via Pythagoras
c² = a² + b²
where "c" is the Hypotenuse (the side opposite of the 90° angle), "a" and "b" are the legs.
in our case both legs are 7×sqrt(2) units long.
so,
baseline² = (7×sqrt(2))² + (7×sqrt(2))² = 49×2 + 49×2 =
= 98 + 98 = 196
baseline = sqrt(196) = 14 units
x is now the height of this triangle, and because of the isoceles form, it splits the baseline exactly in half.
so, one side of the baseline from x is 14/2 = 7 units.
and now Pythagoras for that sub-triangle :
(7×sqrt(2))² = 7² + x²
98 = 49 + x²
49 = x²
x = sqrt(49) = 7 units
the area of the triangle is
baseline × height / 2
in our case
14 × 7 / 2 = 7×7 = 49 units²
If the nth partial sum of a series n = 1 as it approaches infinity an is sn = 6 - n5^-n, find an and n = 1 as it approaches infinity an.
By using the partial sum of series is
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
and summation n=1 to infinity of [tex]a_{n}[/tex] is =6 .
How to find the nth term?To obtain the formula for the nth term of the series and its total, we must first discover the formula for the series' general term.
The formula for the series' nth partial sum is as follows:
[tex]sn = 6 - n*5^{-n}[/tex]
The nth term of the series can be obtained by subtracting the (n+1)th and nth partial sums, i.e.,
a = sn+1 - sn
When we substitute the formula for sn, we get:
[tex]a_{n} = [6 - (n+1)5^{(-(n+1))} ] - [6 - n5^{(-n)} ]\\a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
As a result, the formula for the series' nth term is:
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
To calculate the series total, take the limit of the nth partial sum as n approaches infinity:
lim(n->inf) lim(n->inf) sn [6 - n*5^(-n)]
lim(n->inf) [n*5(-n)] = 6
= 6 - 0
= 6
As a result, the series' sum is 6.
As a result, the formula for the nth term in the series is:
[tex]a_{n} = 5^{(-n-1) } - (n+1)5^{(-(n+1))}[/tex]
And the series' total is:
a = sum(n=1 to inf) = 6
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81 smartphones is 45% of what number of smartphones? Please show work
Answer:
Let s be the number of smartphones.
81 = .45s, so s = 180
Answer:
36.45
Step-by-step explanation:
You make 45 into a percentage, which is 0.45%. Then, multiply 0.45 by 81 and you get 36.45. Hope this helps! And if you’re incorrect I deeply apologize. I tried my best and I’m 95% sure that I’m correct.
a) Use your calculator to solve sin x = 0.79 for 0° ≤ x ≤ 90°
b) Use the graph below to solve sin x = 0.79 for 90° ≤ x ≤ 180°
Give your answer to the nearest degree
Answer:
(a) 52°
(b) 128°
Step-by-step explanation:
You want the angle whose sine is 0.79 (a) in the interval [0, 90°], and (b) in the interval [90°, 180°].
a) Inverse sineThe inverse sine function is used to find the angle when its sine is known.
sin(x) = 0.79
x = arcsin(0.79) ≈ 52°
x ≈ 52° in the domain 0 ≤ x ≤ 90°.
b) Other valuesThe sine function is symmetrical about x = 90°, so other angles for which sin(x) = 0.79 can be found as 180° -x.
180° -52° = 128°
x = 128° in the domain 90° ≤ x ≤ 180°.
__
Additional comment
The attachment shows the angles and that their sine is 0.79. Note that the calculator is set to Degrees mode.
<95141404393>
Un problema de derivadas de la vida cotidiana utilizando la siguiente función:
f(x)= 2x^3-3x^2-12x+1
Suppose you are driving a car with the velocity function represented by the following equation: f(x)= 2x^3-3x^2-12x+1. The derivative would be: f'(x) = 6x^2 - 6x - 12
How can we use the derivative of a function to analyze a car's motion?To find the acceleration of the car at a particular moment, we would need to calculate the derivative of the velocity function f(x). In this case, the derivative would be:
f'(x) = 6x^2 - 6x - 12
The result of this calculation would give us the instantaneous acceleration of the car at a given time x.
In terms of the car's motion, a positive value for f'(x) would indicate that the car is accelerating, while a negative value would indicate that the car is decelerating. The magnitude of the value would indicate the rate of change of the car's velocity, with larger values indicating a more rapid change.
Translated question "A derivative problem from everyday life using the following function: f(x)= 2x^3-3x^2-12x+1"
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Please help!!!!! Help please!! what is the value of x? is this right???
Answer:
x = 68
Step-by-step explanation:
X + 22 = 90 degrees
90 - 22 = 68 degrees
What inequality matches this graph?
A} x > -5
B} x ≥ -5
C} x < -5
D} x ≥-5
According to the given condition. The inequality that matches this graph is option B) x ≥ -5.
What is an inequality equation?An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
According to the given information:The inequality that matches this graph is option B, "x ≥ -5". The graph represents a solid dot at x = -5 and a shaded region to the right of x = -5, including x = -5. This means that x can take on any value greater than or equal to -5, so the inequality can be written as x ≥ -5.
Therefore, According to the given condition. The inequality that matches this graph is option B) x ≥ -5.
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answer ASAP pls with as as much detail in how to complete it as possible :))
in general, if you have the ratio of the volume of two figures how do you find the ratio of their edge lengths? And does how to do this differ between shapes (if so could you explain for triangles pls?)
To find the ratio of edge lengths of two triangles given their area ratio, we need to take the square root of the area ratio.
Finding the volumeTo find the ratio of edge lengths of two figures given their volume ratio, you need to use the fact that volume is proportional to the cube of the edge length.
If we have two figures, Figure A and Figure B, with edge lengths a and b respectively, and their volumes are in the ratio of V(A) : V(B) = k, then we can set up the following equation:
(Volume of A) / (Volume of B) = (a^3) / (b^3) = k
We can then solve for the ratio of edge lengths:
a / b = (k)^(1/3)
Therefore, to find the ratio of edge lengths given the volume ratio, we need to take the cube root of the volume ratio.
This method works for any shape, as long as the volume formula for that shape involves the cube of the edge length. For example, this method works for cubes, rectangular prisms, cylinders, spheres, and so on.
For triangles, however, we cannot use this method directly because the volume of a triangle is not a function of its edge length. Instead, we can use similar triangles to find the ratio of their edge lengths.
If we have two similar triangles, with corresponding sides in the ratio of a : b, then their areas are in the ratio of (a^2) : (b^2). We can use this fact to find the ratio of their edge lengths:
a / b = sqrt(Area of first triangle / Area of second triangle)
So, to find the ratio of edge lengths of two triangles given their area ratio, we need to take the square root of the area ratio.
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find the surface area of the figure
Answer:
The answer for Surface area is 332m²
Step-by-step explanation:
S.A=area of 2 triangle +Area of 2 rectangle +Area of rectangle
S.A=2×1/2×4×3 + 2(20×5) + 20×6
S.A=12+2(100)+120
S.A=12+200+120
S.A=212+120
S.A=332m²
PLEASEE HELP ITS URGENT
The ratio of the areas is given as follows:
1:5.8.
How to obtain the ratio of the areas?The ratio of the areas is obtained applying the proportions in the context of the problem.
When a prism is dilated by a scale factor of k, we have that:
The ratio of the perimeters is k, as both the side lengths and the perimeter are measured in units.The ratio of the areas is k², as the side lengths are measured in units, while the areas are in units squared.The ratio of the volumes is k³, as the side lengths are measured in units, while the volumes are in units cubed.Hence the ratio of the areas is the cubic root of the ratio of the volumes squared, thus, as the ratio of the volumes is of 1:14, we have that:
(14²)^(1/3) = 5.8.
Hence:
1:5.8.
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What strategy could you use to figure out when Beau is likely to win 500 trophies
Answer:
I would say probability.
HELP! A paper airplane is thrown from the top of a treehouse. The paper airplane flies 16 feet through the air and lands in a sandbox that is 9 feet from the base of the tree that the treehouse is in.
What is the angle of depression that the paper airplane is flying down at?
Explain your process
The angle of depression that the paper airplane is flying down at 55. 78 degrees
How to determine the valueNote that the different trigonometric identities in mathematics are;
sinetangentcotangentsecantcosecantcosineThese identities also have their ratios are;
sin θ = opposite/hypotenuse
cos θ = adjacent//hypotenuse
tan θ = opposite/adjacent
From the information given, we have;
Using the cosine identity
Adjacent = 9 feet
Hypotenuse = 16 feet
Substitute the values
cos θ = 9/ 16
divide the values
cos θ = 0. 5625
θ = 55. 78 degrees
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Answer:
55.8° (nearest tenth)
Step-by-step explanation:
The angle of depression is the angle between the horizontal line of sight at the top of the treehouse and line of sight to the sandbox (the flight path of the paper airplane). (See attached diagram).
To find the angle of depression, we can use the cosine trigonometric ratio. The cosine of an angle is equal to the ratio of the length of the side adjacent the angle to the length of the hypotenuse.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}[/tex]
In this case, the length of the side adjacent the angle of depression is equal to the distance between the base of the tree and the sandbox, so A = 9 ft. The hypotenuse is the distance the airplane flies through the air, so H = 16 ft.
Substitute these values into the cosine ratio and solve for θ:
[tex]\cos (\theta)=\dfrac{9}{16}[/tex]
[tex]\theta=\cos^{-1}\left(\dfrac{9}{16}\right)[/tex]
[tex]\theta=55.7711336...^{\circ}[/tex]
[tex]\theta=55.8^{\circ}\; \sf (nearest \; tenth)[/tex]
Therefore, the angle of depression that the paper airplane is flying down at is 55.8° (nearest tenth).
The students in Mrs. Fishers class planted seeds. Each seed was given sunlight and water. Mrs. Fisher measured one plants height each week.
* After 4 weeks, the height was 2 centimeters.
* After 7 weeks the height was 4.5 centimeters.
* After 9 weeks, the height was 6 centimeters.
A student noticed the data suggest a linear association between the height of the plant, y, in centimeters, after x weeks.
What is a reasonable value for n?
Please answer as soon as possible due in an hour. Thank you.
Answer:
-9.5.
Step-by-step explanation
To find a reasonable value for n, we need to use the given data points and the equation of the line. We can plug in any pair of x and y values into the equation and solve for m or b. For example, using (4, 2), we get:
2 = m(4) + b
Solving for b, we get:
b = 2 - 4m
Now we can plug in another pair of x and y values, such as (7, 4.5), and use the value of b we just found:
4.5 = m(7) + 2 - 4m
Solving for m, we get:
m = 0.5
Now we have the slope and the y-intercept of the line. The equation is:
y = 0.5x + 2 - 4(0.5)
Simplifying, we get:
y = -1.5x + 4
To find n, we need to plug in x = 9 and solve for y:
y = -1.5(9) + 4
y = -9.5
In a large population of students, 60% feel like they can do better in their math class. In a random sample of 5 students, what is the probability that at least 2 students feel like they can do better in their math class?
0.0870
0.2304
0.3174
0.6826
0.9130
The probability that at least 2 students feel like they can do better in their math class is E. 0.9130.
How to calculate the probabilityTo find the probability that at least 2 students feel like they can do better, we need to calculate P(X >= 2). This can be done using the cumulative distribution function (CDF) of the binomial distribution:
P(X >= 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)
Using the binomial probability formula, we can calculate:
P(X = 0) = (5 choose 0) * 0.6^0 * 0.4^5 = 0.01024
P(X = 1) = (5 choose 1) * 0.6^1 * 0.4^4 = 0.07680
Therefore,
P(X >= 2) = 1 - 0.01024 - 0.07680 = 0.91296
Rounding this to four decimal places, we get: 0.9130
Therefore, the answer is option E: 0.9130.
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What is the greatest common factor of the polynomial below?
12x²9x
OA. 4x
OB. 3x
OC. 4x²
OD. 3x²
The greatest common factor (GCF) of the polynomial 12x²9x is 3x, therefore option B is correct.
How to Find the Greatest Common Factor of a Polynomial?The Greatest Common Factor (GCF) of a polynomial is the largest factor that all of the terms in the polynomial have in common.
To find the GCF, we need to find the largest factor that both terms have in common. Both terms have a factor of 3x, so that is the greatest common factor. Factoring out 3x from each term gives:
12x²9x = 3x(4x)3(3x) = 3x(4x3)
So the GCF of 12x²9x is 3x.
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NO LINKS!!! URGENT HELP PLEASE!!!!
Express the statement as an inequality. Part (2a^2)
d. c is between 1/7 and 1/5
1. 1/5 ≥ c ≥ 1/7
2. 1/7 < 1/5 < c
3. c < 1/7 < 1/5
4. 1/7 < c < 1/5
5. 1/7 ≤ c ≤ 1/5
e. p is not greater than -6
1. p ≤ -6
2. p < -6
3. p ≥ -6
4. p > -6
5. p = -6
f. The negative of m is not less than -2
1. m ≤ -2
2. m < 2
3. -m < -2
4. m < -2
5. -m ≥ -2
Answer:d. The inequality that represents "c is between 1/7 and 1/5" is:
1/7 ≤ c ≤ 1/5
e. The inequality that represents "p is not greater than -6" is:
p ≤ -6
f. The inequality that represents "the negative of m is not less than -2" is:
-m ≥ -2
Note that we need to flip the inequality when we multiply or divide both sides by a negative number, which is the case in part (f).
Step-by-step explanation:
I need help with questions 1,2, and 3. This class is microeconomics
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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how do I find the IQR for the numbers 7,9,8,9,6
Answer:
There are three steps to find IQR
1. Know how the IQR is used. Essentially, it is a way of understanding the spread or "dispersion" of a set of numbers. The interquartile range is defined as the difference between the upper quartile (the highest 25%) and the lower quartile (the lowest 25%) of a data set.
2. Understand quartiles. To visualize a quartile, chop a list of numbers into four equal parts. Each of these parts is a "quartile."[2] Consider the set: 1, 2, 3, 4, 5, 6, 7, 8.
1 and 2 are the first quartile, or Q1
3 and 4 are the second quartile, or Q2
5 and 6 are the third quartile, or Q3
7 and 8 are the fourth quartile, or Q4
3. Learn the formula. In order to find the difference between the upper and lower quartile, you'll need to subtract the 25th percentile from the 75th percentile.
The formula is written as: Q3 – Q1 = IQR.
Answer:
the answer would be 2.5
Explanation:
The formula for finding the interquartile range takes the third quartile value and subtracts the first quartile value. Equivalently, the interquartile range is the region between the 75th and 25th percentile (75 – 25 = 50% of the data).
Use the given information to find a formula for the exponential function N = N(t). (Round the values to three decimal places.)
The initial value of N is 14. If t is increased by 6, the effect is to multiply N by 59.
the formula for the exponential function N(t) is N(t) = 14 * 59in power (t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula
How to solve the question?
Let N(t) be the exponential function we are trying to find, where N is the population at time t.
From the given information, we know that when t=0, N(0) = 14, which is the initial value of N.
We also know that when t is increased by 6, N is multiplied by 59. In other words,
N(t+6) = 59N(t)
We can use this relationship to express N(t+6) in terms of N(t) by substituting N(t+6) with 59N(t) in the above equation, giving us:
59N(t) = N(t+6)
Now, we can use this equation to solve for N(t) in terms of N(0) by repeatedly substituting N(t) with 59N(t-6), 59²N(t-12), 59³N(t-18), and so on.
N(t) = 59 in power (t/6) * N(0)
Using the initial value of N(0) = 14, we get:
N(t) = 14 * 59 in power (t/6)
Therefore, the formula for the exponential function N(t) is N(t) = 14 * 59^(t/6), where N is the population at time t and t is the time in hours, days, or any other unit of time as long as it is consistent with the time unit used in the formula
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Find the area of the circle. Round to the nearest square meter.
A. 63 m2
B. 314 m2
C. 897 m2
D. 1,257 m2
Answer:
B. 314 m²
Step-by-step explanation:
Area of circle = π · r²
r = 10 m
π = 3.14
Let's solve
3.14 x 10² = 314 m²
So, the area of the circle is B. 314 m²
Solve 3/8 + n = 7/8
giving away 10 points for this
The bowling average of the players in the Capital Three bowling tournament is 158 with variance of 121. If Dr. Baker bowls an average of 169 during the tournament. Compute the appropriate statistic.
What proportion of bowlers performed better than Dr. Baker?
Approximately 15.87% of the bowlers in the Capital Three bowling tournament performed better than Dr. Baker.
How to find the proportionStandard deviation (σ) = √(variance) = √(121) = 11
Now, we can calculate the z-score for Dr. Baker's average of 169 using the formula:
z = (X - μ) / σ
z = (169 - 158) / 11
z = 11 / 11
z = 1
Dr. Baker's z-score is 1, meaning his performance is one standard deviation above the mean.
The area to the left (or the cumulative probability) is approximately 0.8413
1 - 0.8413 = 0.1587
Approximately 15.87% of the bowlers in the Capital Three bowling tournament performed better than Dr. Baker.
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calculate the side of a square with a perimeter 84cm
Answer:
441cm^2
Step-by-step explanation:
84 divided by 4 is 21
21cm*21cm is 441cm^2
In need of assistance! If possible, I'd appreciate it!
The parametric equations graph as a portion of a parabola. The initial point is (5,0), and the terminal point is (3,4). The vertex of the parabola is (2,9). Arrows are drawn along the parabola to indicate motion right to left.
How to determine parametric equation?Parametric equations are a way of expressing a set of equations that define the coordinates of a point in terms of a third variable (parameter) that varies over a certain range. In the given problem, the parametric equations:
x(t) = 2 - t
y(t) = (t+3)²
To visualize the graph of these equations, we can substitute different values of t and plot the corresponding points (x(t), y(t)) on a coordinate plane. Since t ranges from -4 to 0, we can choose a few values of t such as t=-4, t=-2, and t=0 to get the corresponding points.
When plotted these points, a portion of a parabola that opens upwards. The vertex of the parabola is at the point (3, 4) where x=2-t and y=(t+3)² intersect. The initial point of the graph is when t=-4, which gives the point (6, 1) and the terminal point is when t=0, which gives the point (2, 9). The arrows are drawn along the parabola to indicate the direction of motion, which is from right to left in this case.
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Which table shows a proportional relationship between x and y?
Responses
x 1 2 3 4
y 4 10 12 16x 1 2 3 4 y 4 10 12 16 ,
x 2.5 3 5 6
y 5 6 10 15x 2.5 3 5 6 y 5 6 10 15 ,
x 7 14 28 35
y 1 2 4 5x 7 14 28 35 y 1 2 4 5 ,
x 1 3 4 7
y 2 5 8 14
(PLS HURRY I NEED TO GET THIS DONE)
(65 POINTS FOR THE RIGHT ANSWER)
The proportional relationship between x and y is shown by the table:
x 7 14 28 35
y 1 2 4 5
Explain about the proportional relationship:A connection among two factors that changes proportionally is referred to as a proportional relationship. If y=kx, where k is just the proportionality constant, can be used to represent two quantities, x and y, then they are said to be proportional.
This implies that the ratio between both always remains the same and that as x increases, y increases, and as x drops, y decreases.The proportional connection equation's graph is a line that passes directly through the origin.From the given options, consider the table:
x 7 14 28 35
y 1 2 4 5
As per proportional relationship.:
y=kx
k = y/x (must be same in all cases)
k = 1/7
k = 14/2 = 1/7
k = 4/28 = 1/7
k = 5/35 = 1/7
As all the k value for the given values of x and y are found equal.
Thus, the proportional relationship between x and y is shown by the table:
x 7 14 28 35
y 1 2 4 5
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What fraction is a multiple of 1/9. 3/9 4/9 9/12 9/10 2/9 or 9/9
To determine which of the given fractions is a multiple of 1/9, we need to check if each fraction can be written as the product of 1/9 and another integer.
What fraction is a multiple of 1/9. 3/9 4/9 9/12 9/10 2/9 or 9/9?3/9 = 1/3, which is not a multiple of 1/9
4/9 cannot be simplified further and is therefore a multiple of 1/9
9/12 can be simplified to 3/4, which is not a multiple of 1/9
9/10 cannot be simplified further and is therefore a multiple of 1/9
2/9 cannot be simplified further and is therefore a multiple of 1/9
9/9 = 1, which is not a multiple of 1/9
Therefore, the fractions that are multiples of 1/9 are 4/9, 9/10, and 2/9.
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Write an equation that you can use to solve for x.
Three lines intersect at the same point. Two of the lines intersect at a 90 degree angle. The third line divides one of the right angles into two adjacent angles. One of the adjacent angles is labeled 63 degrees and the other adjacent angle is labeled x degrees
Answer:
Ok so we know it has to equal=180 right?
90+90=180
180/4
45
1) Find the APR for a $2400, two-year, add-on interest loan, that had a finance charge of $288.
2)) Suppose you have a loan for 4 years, with monthly payments of $185, and an APR of 9.0% (original finance charge of $1426). If you decide to pay it off in 3 years rather than 4 years, find the unearned interest.
3) Find the monthly payment necessary to amortize a $80,000 mortgage at 6% annual interest for 25 years.
1. the APR for this loan is 6%.
2. the unearned interest is $118.83.
3. the monthly payment necessary to amortize the $80,000 mortgage at 6% annual interest for 25 years is $506.69.
How do we calculate?APR = (finance charge / loan amount) / number of years * 100%
In this scenario, the loan amount is $2400 and the finance charge is $288. Since it's a two-year loan, the number of years is 2
APR = (288 / 2400) / 2 * 100%
APR = 0.06 * 100%
APR = 6%
b.
Number of payments = 4 years * 12 months/year = 48
If the loan is paid off in 3 years instead of 4 years, the number of payments made is:
Number of payments made = 3 years * 12 months/year = 36
Substituting these values into the formula, we get:
Unearned interest = (1426 / 48) * (48 - 36)
Unearned interest = $118.83
3.
To find the monthly payment necessary to amortize a mortgage, we need to use the formula:
M = P * (r / (1 - (1 + r)^(-n)))
where M is the monthly payment, P is the principal (loan amount), r is the monthly interest rate, and n is the total number of payments (in months).
In this scenario, the loan amount is $80,000, the annual interest rate is 6%, and the loan term is 25 years. To find the monthly interest rate, we divide the annual interest rate by 12 (since there are 12 months in a year):
Monthly interest rate = 6% / 12 = 0.005
To find the total number of payments, we multiply the number of years by 12:
Number of payments = 25 years * 12 months/year = 300
Substituting these values into the formula, we get:
M = 80000 * (0.005 / (1 - (1 + 0.005)^(-300)))
M ≈ $506.69
Learn more about Monthly interest rate at: https://brainly.com/question/29717759
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PLEASE HELP ASAP!! (Please do this if ur good at Scientific Notation) please tell me which 4 should I put in the box! (Click picture) ‼️‼️
Answer:
1st one is 6.9 X 10^6
2nd one is 2 x 10^5
Step-by-step explanation: