Answer:
Orlando and Nancy will be at an elevation of -110 when they are at the same elevation.
Step-by-step explanation:
We can set up an equation to find the time it takes for Orlando and Nancy to be at the same elevation
We will use the variable T to represent the time in minutes
Orlando's elevation : -60 + 8t
Nancy's elevation : -35 + 12t
We will solve for t to see at what time the elevations were equal
-60 + 8t = -35 + 12t
-60 + 35 = 12t - 8t
-25 = 4t
4t = -25
t = -6.25
This means that both will be at the same elevation 6.25 minutes before Orlando goes down
To find the elevation they will be at that time, we will plug -6.25 into either expression.
-60 + 8t = -60 + 8(-6.25) = -110
Orlando and Nancy will be at an elevation of -110 when they are at the same elevation.
Can someone help
me?
Answer:
To find the real and imaginary parts of the complex number 26 = a + bi, we can use the fact that:
a + bi = 26
Taking the complex conjugate of both sides, we get:
a - bi = 26
Adding the two equations, we get:
2a = 52
Solving for a, we get:
a = 26
Substituting this value into one of the equations, we get:
26 + bi = 26
Therefore, b = 0.
Therefore, the real part of 26 is a = 26, and the imaginary part is b = 0.
greatest common factor of 4x+3x^2
what is the value of 6(2b-4) when b =3
Answer: 12
Step-by-step explanation:
Use BODMAS, so first solve the inside of the bracket:
2*3= 6
6-4= 2
Now we can multiply that by the number outside the bracket. Why?
Because a number outside a bracket means to multiply that number by everything in the bracket. So:
6 * 2 = 12
Answer: 12
Step-by-step explanation:
2 x 3 = 6
6 - 4 = 2
6 x 2 = 12
jay eats 2/3 of a pizza but if dan eats 4 times that amount how much did dan eat
Answer:
Dan eat 2 2/3 of a pizza
Step-by-step explanation:
the answer is above
Let
x-----> amount of pizza Jay ate
y-----> amount of pizza Dan ate
we know that
----> equation A
-----> equation B
substitute equation A in the equation B and solve for y
Convert to mixed number
danielle wants to build a sandbox that has a perimeter of 46 feet. The length is 15ft. What is the width of their sand box?
Answer:
8 feet.
Step-by-step explanation:
Let's denote the width of the sandbox as "w".
We know that the perimeter of a rectangle is given by the formula:
Perimeter = 2(length + width)
So, we can plug in the given values:
46 = 2(15 + w)
Now, we can solve for "w":
46 = 30 + 2w
Subtracting 30 from both sides:
16 = 2w
Dividing by 2:
w = 8
Therefore, the width of the sandbox is 8 feet.
3. Factor puzzle. *Be sure to show work!
SHARED FACTORS
Each side of the square shares a factor with each of its neighboring sides.
Determine the missing values that make this statement true.
The missing values that make this statement true are as
x² + 9x + 14, x² - 3x - 10
x² - 2x - 15, x² + 10x + 21
What is the quadratic equation?
A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. The term "quadratic" comes from the Latin word "quadratus," which means "square."
First, let Xa, Xb, Xc, Xd = each factor
Xd = each factor which shows In the graph
Then, we can know that
Xa, Xb are the roots of x² + ___x + 14
Xb, Xd are the roots of x²= 3x - __
Xc, Xd are the roots of x² - __x - 15
Xa, Xc are the roots of x² + 10x + __
Xa * Xb = 14 Xd = 15/10 +Xa
Xb+ Xd = 3 14/Xa + 15/10 +Xa = 3
Xc* Xd = - 15 140 + 29Xa/Xa(10+Xa)
Xa + Xc = -10x 140 + 29Xa = 30Xₐ + 3Xₐ²
Xb = 14/Xa 3Xₐ² + Xₐ² - 140 = 0
14/Xa + Xd = 3 Xa1 = -7 Xa2 = 20/3
Xd = -15/-3 Xb1 = -2 Xb2 = 21/10
Xc = -10 -X1 Xc1 = -3 Xc2 = -30/3
Xc1 = -3 Xc2 = -30/3
Xd1 = 5 Xd2=9/10
There are two kinds of answers.
1) x² + 9x + 1x Xa1 + Xb1 = -9
x² - 3x + 10 Xb1 * Xd1 = -10
x² - 2x - 15 Xc1 + Xd1 = 2
x² + 10x + 21 Xa1 * Xc1 = 21
2)
x² - (263/30)x + 14 Xa2 * Xb2 = 263/30
x² - 3x - (-189/100) Xb2 * Xd2 = 189/100
x² - (413/30)x - 15 Xc2 + Xd2 = 413/30
x² + 10x + (1000/9) Xa2 * Xc2 = 1000/9
Hence, the missing values that make this statement true are as
x² + 9x + 14, x² - 3x - 10
x² - 2x - 15, x² + 10x + 21
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Please answer
A soft drink company calls 500 people at random and asks, “Isn’t it true that our product is better than our rival’s product?” and 75% of the people respond, “Yes.” Is this an example of bias? Explain.
In linear equation, “Yes.” This is the example of bias.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
The question asked by the soft drink company is leading and suggestive in nature as it implies that their product is better than their rival's product. This can influence the respondent's answer and lead to biased results. Additionally, the sample size of 500 people may not be representative of the entire population, and the respondents may not be randomly selected.
Therefore, the results of this survey may not accurately reflect the true opinions of the population regarding the superiority of the soft drink company's product over its rival's product. To obtain more accurate and reliable results, the question should be more neutral and the sample should be randomly selected and representative of the population.
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Stoaches are fictional creatures that feed on funistrada.
According to Wikipedia, adult stoach weights are normally distributed, with a mean of 308 g and a standard deviation of 58 g.
You weigh a random sample of 54 stoaches, and find a sample mean weight of 313.8 g.
Assume Wikipedia is correct about the standard deviation. What is the p
-value for a two-sided hypothesis test that Wikipedia is also right about the mean weight? (Give your answer to 4 decimal places.)
Answer:
Step-by-step explanation:
Here's a step-by-step explanation of how to calculate the p-value for the hypothesis test:
Step 1: State the null and alternative hypotheses
The null hypothesis is that the true population mean weight of stoaches is 308 g, and the alternative hypothesis is that the true population mean weight is not 308 g.
H0: µ = 308 g (null hypothesis)
Ha: µ ≠ 308 g (alternative hypothesis)
Step 2: Determine the test statistic
We can use a t-test to determine the test statistic for this hypothesis test. The test statistic is given by:
t = (sample mean - hypothesized mean) / (standard error of the mean)
where the sample mean is 313.8 g, the hypothesized mean is 308 g, and the standard error of the mean is calculated as:
standard error of the mean = standard deviation / sqrt(sample size)
Substituting the given values, we get:
t = (313.8 - 308) / (58 / sqrt(54))
t = 1.547
Step 3: Determine the p-value
To determine the p-value, we need to find the probability of obtaining a test statistic as extreme or more extreme than our observed t-value, assuming the null hypothesis is true. Since we have a two-sided alternative hypothesis, we need to find the area in both tails of the t-distribution that is more extreme than our observed t-value.
Using a t-distribution table or calculator with 53 degrees of freedom (since we have a sample size of 54), we find that the probability of obtaining a t-value of 1.547 or greater is 0.0722 in the right tail, and the probability of obtaining a t-value of -1.547 or less is also 0.0722 in the left tail. Therefore, the p-value for the two-sided test is the sum of these two probabilities:
p-value = 0.0722 + 0.0722
p-value = 0.1444
Step 4: Compare the p-value to the significance level
The significance level is typically set to 0.05 for hypothesis tests. Since our calculated p-value (0.1444) is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means that we do not have sufficient evidence to suggest that the true population mean weight of stoaches is different from 308 g.
In summary, the p-value for the two-sided hypothesis test is 0.1444, and since this value is greater than the significance level of 0.05, we do not reject the null hypothesis.
Triangle ABC is rotated 180 degrees counterclockwise around vertex c. find the coordinates of B. B is (4,4) C is (3,1)
The image of the point B after the rotation by 180 degrees about point C is (0, 0)
How to determine the image of the point B after the rotationGiven that
B = (4, 4)
C = (3, 1)
The rotation rule is given as
Rotation by 180 degrees counterclockwise around vertex C
The rule of 180 degrees counterclockwise about the origin is
(x,y) = (-x,-y)
If the center of rotation is (a, b), then we have
(x,y) = (-(x - a) + b, -(y - b) + a)
So, we have
B' = (-(4 - 3) + 1, -(4 - 1) + 3)
Evaluate
B' = (0, 0)
Hence, the image of the point is (0, 0)
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A soft drink company calls 500 people at random and asks, “Isn’t it true that our product is better than our rival’s product?” and 75% of the people respond, “Yes.” Is this an example of bias? Explain.
Yes, this is an example of bias, specifically, response bias.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.
Here,
Response bias occurs when the answers given by respondents in a survey do not accurately reflect their true opinions or beliefs. In this case, the question asked by the soft drink company is leading and suggestive, and it suggests that the company's product is superior to its rival's product. By framing the question in this way, the soft drink company is more likely to receive a positive response from respondents, even if they do not actually believe that the company's product is better than its rival's product.
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Can someone help me please?
Answer: yes, no, yes, no
Step-by-step explanation:
HELP! PLEASE PLEASE !!!!!!!!!!!!
Hi!
Okay, lets make this quick for you :)
1 Inch = 16 feet
2.25 (=1/4 as a decimal) x 16 is 36.
3 x 16 is 48.
4 x 16 is 64.
1.75 (= 3/4 as a decimal) x 16 is 28.
Add all of them together!
36 + 48 + 64 + 28 = 176.
So, your answer is 176.
Hope this helps!
~~~PicklePoppers~~~
Answer:
2512 ft^2
Step-by-step explanation:
Consider the whole figure as ABCD.
Law used: Opposite sides are equal.
Soln: For rectangle ABCD,
= L*B
= 4*3 = 12 inches
And,For extended area, BFEL:
L= 7/4B = 5/4Area: L*B = 7/4*5/4 = 35/16
So,Area of given region:
=12-35/16
= 192-35/16 = 157/16 inches.
In Feet,we have:
Given 1in = 16 ft.
1 in^2 = 16*16 ft^t
in ^2 = 256 ft^t
157/16 in^2 = 256*157/16 = 2512 ft^2 (ans)
The product of two positive consecutive integers is 2 less than
twice their sum. Find the integers.
Answer:
The integers are 5 and 7.
Step-by-step explanation:
im 99% sure that is right! hope i helped!
Use graphical methods to solve this linear programming problem.
Maximize z = 3x + 4y
subject to 2x - 3y ≤ 12
x + y ≥ 3
3x + 4y ≥ 24
x ≥ 0
y ≥ 0
What is the maximum value of z? Select the correct choice below, and if necessary, fill in the answer box to complete your choice.
A. The maximum value is ___ (Simplify answer)
B. There is no maximum.
At what point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The maximum value of z occurs only at the point(s) ___
(Type an ordered pair. Use a comma to separate answers as needed.)
B. The maximum value of z occurs at the points ___ and at all points on the line segment connecting them. (Type an ordered pair. Use a comma to separate answers as needed.)
C. There is no maximum value of z.
Answer:
B. There is no maximum value.
C. There is no maximum value of z.
Step-by-step explanation:
To solve this linear programming problem using graphical methods, start by graphing the feasible region determined by the given constraints:
2x - 3y ≤ 12x + y ≥ 33x + 4y ≥ 24x ≥ 0y ≥ 0We can graph each of these inequalities by first plotting the corresponding boundary line, and then shading in the appropriate region.
Rearrange the first three inequalities to isolate y:
[tex]\boxed{\begin{aligned}2x - 3y & \leq 12\\2x - 12 & \leq 3y \\3y &\geq 2x - 12\\y& \geq \dfrac{2}{3}x-4\end{aligned}}[/tex] [tex]\boxed{\begin{aligned}x + y & \geq 3\\y & \geq -x+3\\ \phantom{w}\\\phantom{\dfrac12}\end{aligned}}[/tex] [tex]\boxed{\begin{aligned}3x + 4y & \geq 24\\4y & \geq -3x + 24\\y & \geq -\dfrac{3}{4}x + 6\\\phantom{w}\end{aligned}}[/tex]
Graph the inequalities.
If the inequality sign is ≥, draw a solid line and shade above the line.If the inequality sign is ≤, draw a solid line and shade below the line.The feasible region is the region that is shaded by all of the inequalities.
Please see the attached graph.
A bounded feasible region may be enclosed in a circle and will have both a maximum value and a minimum value for the objective function.
If a feasible region is unbounded, and the coefficients on the objective function are all positive, then an unbounded feasible region will have a minimum but no maximum, since there is no limit on how big it can get.
Therefore, as the feasible region for the given constraints is unbounded, and the coefficients of the objective function z = 3x + 4y are all positive, there is no maximum value.
In ΔVWX, v = 33 inches, w = 57 inches and ∠X=147°. Find ∠W, to the nearest degree.
log x / 3 + log y / 3 + logz / 3
how do you condense
Using the product rule of logarithms, we can condense the expression as follows:
log(x/3 * y/3 * z/3)
= log((xyz) / 27)
So, the condensed form of the given expression is log((xyz) / 27).
The circumference of the circle is 20 pi inches. What is the arc length of the shaded sector? Express the answer in terms of Pi. A circle. The shaded sector has an angle measure of 45 degrees. Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction. 2.5 pi inches 5 pi inches 7.9 pi inches 10 pi inches
The provided remark indicates that option (A) is accurate for 2.5 inches.
What length of time is an example?The measurement or size of something to end to end is referred to as its length. To put it another way, it is the bigger of the upper two or three dimensions of a geometric form or object. For instance, the length and width of a parallelogram define its measurements.
Using the given equation:
Arc Length / 20π = 45/360
Cross multiply:
Arc length × 360 = 20π x 45
Arc length x 360 = 900π
Divide both sides by 360:
Arc length = 900π / 360
Arc Length = 2.5 π inches.
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Which set of ordered pairs is made up of points on the graph of the function below?
y=-2x+8
A. (10,-1), (8,0), (1,6), (2,4)
B. (-1,10), (0,8), (1,6), (2,4)
C. (10,-1), (8,0), (6,1), (4,2)
D. (-1,10), (8,0), (1,6), (4,2)
Answer:0
Step-by-step explanation: just like you did on my question and stole the points :) xx
Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 183.69 square inches.
If the diameter of the tub is 6 inches, what is its height? Use π = 3.14.
A 2.25 inches
B 4.5 inches
C 6.75 inches
D 12.75 inches
Answer:
6.75 inches.
Step-by-step explanation:
[tex]183.69 = 2*3.14*3^2 + 2*3.14*3*h[/tex]
[tex]= 56.52 + 18.84h[/tex]
[tex]183.69 - 56.52 = 18.84h[/tex]
[tex]127.17 = 18.84h[/tex]
[tex]=\frac{127.17}{18.84}[/tex]
[tex]=6.75[/tex]
Find the value of the following:
tan (sin-¹ // )
[?}√[
Give your answer in lowest terms.
Rationalize the denominator If necessary.
Enter the number that belongs in the green box.
Enter
The value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
What are expressions?Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are words with an addition operator between them. Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.
The given expression is tan(arcsin (2/7)).
The value of arcsin(2/7) = 16.60
Now substitute the value:
tan(16.60) = 0.29
Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
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The trigonometric expression tan(arcsin (2/7)) has a value of 0.29.
What are trigonometric expressions?
Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator.
The addition, subtraction, multiplication, and division operations are the four distinct categories of arithmetic operators.
For instance, the expression x + y is an expression where x and y are words with an addition operator between them.
Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables and numerical expressions, which solely contain numbers.
The given expression is tan(arcsin (2/7)).
The value of arcsin(2/7) = 16.60
Now substitute the value:
tan(16.60) = 0.29
Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.
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The points (-5, r) and (1, -16) lie on a line with slope -4. Find the missing coordinate r.
The missing coordinate of line is r = 8.
Define straight lineA straight line is a geometrical object that extends infinitely in both directions and has no curvature or bending. It is a one-dimensional object that is defined by two points on the line, called its endpoints, or by its slope and a point on the line.
the slope formula to find the slope of the line given two points:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Plugging in the coordinates we have:
-4 = (-16 - r) / (1 - (-5))
Simplifying:
-4 = (-16 - r) / 6
Multiplying both sides by 6:
-24 = -16 - r
Adding 16 to both sides:
-8 = -r
Dividing both sides by -1:
r = 8
Therefore, the missing coordinate is r = 8.
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On New Year's Eve, the probability of a person having a car accident is 0.09. The probability of a person driving while intoxicated is 0.32 and probability of a person having a car accident while intoxicated is 0.15. What is the probability of a person driving while intoxicated or having a car accident?
Round to 2 decimal places
Answer:
Step-by-step explanation:
To calculate the probability of a person driving while intoxicated or having a car accident, we need to use the formula for the union of events:
P(A or B) = P(A) + P(B) - P(A and B)
where A and B are the events of driving while intoxicated and having a car accident, respectively.
Using the probabilities given in the problem, we can calculate:
P(intoxicated) = 0.32
P(accident) = 0.09
P(accident | intoxicated) = 0.15
To find P(intoxicated or accident), we first need to find P(intoxicated and accident). We can use the formula for the conditional probability as follows:
P(intoxicated and accident) = P(accident | intoxicated) x P(intoxicated)
P(intoxicated and accident) = 0.15 x 0.32 = 0.048
Now we can use the formula for the union of events:
P(intoxicated or accident) = P(intoxicated) + P(accident) - P(intoxicated and accident)
P(intoxicated or accident) = 0.32 + 0.09 - 0.048
P(intoxicated or accident) = 0.362
Therefore, the probability of a person driving while intoxicated or having a car accident is 0.362, or approximately 36.2%.
5/6 plus negative 4/9 minus negative 2
Answer:
Step-by-step explanation:
5/9 + (-4/9) - (-2)
5/9 - 4/9 + 2
[tex]5-4+18/9[/tex]
19/9 or 2.1, 2 1/9
Majesty Video Production Inc. wants the mean length of its advertisements to be 35 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 14 ads produced by Majesty.
a. The shape οf the distributiοn οf the sample mean time is nοrmal.
b. The standard error is 0.5345.
What is the standard deviatiοn?Standard deviatiοn is: It is a measure οf hοw spread οut numbers are. It is the square rοοt οf the Variance, and the Variance is the average οf the squared differences frοm the Mean.
Given that:
μ =35
σ = 2
n = 14
a. The shape of the distribution of the sample mean time is normal.
b. To calculate the standard error of the mean time, we would apply this formula,
Standard error :
[tex]$ \rm SE = \frac{ \sigma}{\sqrt{(n)} }[/tex]
[tex]$ \rm SE = \frac{ 2}{\sqrt{(14)} }[/tex]
SE = 0.5345
Thus, the standard error is 0.5345.
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Complete question:
Majesty Videο Prοductiοn Inc. wants the mean length οf its advertisements tο be 30 secοnds. Assume the distributiοn οf ad length fοllοws the nοrmal distributiοn with a pοpulatiοn standard deviatiοn οf 2 secοnds. Suppοse we select a sample οf 16 ads prοduced by Majesty.
a. What can we say abοut the shape οf the distributiοn οf the sample mean time?
b. What is the standard error of the mean time?
A contractor buys 18 yd of nylon carpet and 20 yd of wool carpet for $1922. A second purchase, at the same prices, includes 18 yd of nylon carpet and 27 yd of wool carpet for $2286. Find the cost per yard of the wool
carpet.
Therefore, the cost per yard of wool carpet is $52.
Which equation would you use as an example?When two expressions are joined by the equal sign, a mathematical statement is referred to as an equation. 3x - 5 = 16 is an illustration of an equation.
Let x be the cost per yard of nylon carpet, and let y be the cost per yard of wool carpet.
From the information given in the problem, we can set up two equations based on the two purchases:
18x + 20y = 1922 (equation 1)
18x + 27y = 2286 (equation 2)
We want to find the cost per yard of wool carpet, y. We can solve for y by subtracting equation 1 from equation 2:
7y = 364
y = 52
Therefore, the cost per yard of wool carpet is $52.
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Let T : R³ → R³ be the linear transformation determined by the matrix:
Therefore , the solution of the given problem of matrix comes out to be V = (4/3)π(1³) = (4/3)π.
Describe matrix.A matrix is a collection of integers set up in a rectangular array with rows and columns. The elements or components of the matrix are the integers. Numerous areas of mathematics as well as the fields of economics, physics, statistics, and architecture all make extensive use of matrix algebra.
Here,
(a)
Let (x1, x2, x3) be any point in the set {(x1, x2, x3) e IR³ | x1²/a² + x2²/b² + x3²/c² ≤ 1}, on the other hand. Next, we have
(x1²/a²) + (x2²/b²) + (x3²/c²) ≤ 1
When we multiply both parts by 3, we obtain:
a²x1² + b²x2² + c²x3² ≤ 3
The condition for T(S) is satisfied by (x1, x2, x3), indicating that (x1, x2, x3) is in T.(S).
T(S) is the collection ({(x1, x2, x3) e IR³ | x1²/a² + x2²/b² + x3²/c² ≤ 1}.a result.
(b) The following formula determines the volume of the spheroid with semiaxes of lengths(1/√(a))(1/√(b)) and (1/√(c))
=>V = (4/3)π (1/√(a))(1/√(b))(1/√(c))
If we replace a = b = c = 1, we get:
=> V = (4/3)π (1)(1)(1) = (4/3)π
The following algorithm determines the unit ball's volume in IR3:
=> V = (4/3)π(1³) = (4/3)π
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Which fraction is not written in simplest form?
A. 35/84
B. 27/40
C. 18/65
D. 24/83
35/84
It can be simplified to 5/12 by dividing by 7.
Talitha will sell her bicycle shop to you for R250 000, with seller financing at a 6% nominal annual rate. The terms of the loan will require you to make 12 equal end-of-month payments per year for four years, and then make an additional final (balloon) payment of R50 000 at the end of the last month. What will your equal monthly payments be?
Answer:
Step-by-step explanation:
To calculate the equal monthly payments under this loan, we can use the formula for the present value of an annuity due, since the payments are due at the end of each period. The present value of the equal monthly payments can then be set equal to the loan amount of R250,000, and we can solve for the payment amount.
First, we need to calculate the present value factor for an annuity due with 12 payments per year over a four-year period, using a nominal annual rate of 6%.
PVIFA(due) = (1 - (1 + r/n)^(-nt))/((r/n)(1 + r/n))
Where:
r = nominal annual rate = 6%
n = number of compounding periods per year = 12
t = number of years = 4
PVIFA(due) = (1 - (1 + 0.06/12)^(-12*4))/((0.06/12)(1 + 0.06/12)) = 43.232
Next, we can use the formula for the present value of an annuity due to calculate the equal monthly payments:
PMT = PV / PVIFA(due)
Where:
PV = present value of the loan = R250,000
PMT = 250000 / 43.232 = R5,785.97
Therefore, your equal monthly payments will be R5,785.97. At the end of the four-year period, you will also need to make a final balloon payment of R50,000 to fully pay off the loan.
100 POINTS + BRAINLIEST!!
Answer:
(2x)(4x)= 8x^22x + 4x = 6x(x+1)+ 2x = 3x + 1(x+1)(2x) = 2x^2 + 2x3x + (2x) = 5x(3x)(2x) = 6x^2
Step-by-step explanation:
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PLEASE HELP!!! (IMAGE ATTATCHED) (40PTS)
ALEKS INITIAL KNOWLEDGE CHECK
In rhombus yxyz below, wy24cm and xv7cm .
Find the area of the rhombus.
Be sure to include the correct unit in your answer.
Answer:
168 cm^2
Step-by-step explanation:
This rhombus is made up of two triangles. To find triangle area, base x height/2 (but bc there are two triangles we don’t need to divide by 2). To do this, 14 x 12 to get 168cm^2