lens $50000 over three months payable weekly at interest rate pf 2.85 per week should the person be late charge $600 per week. since the customer was late 5 times during the life of the loan and took and took an additional 2 weeks to settle calculate thr total interest
Answers
The total interest paid on the loan repayable over three months weekly at 2.85% per week is $3,584.96.
How is the total interest determined?The total interest can be computed using an online finance calculator.
The result is then added to the late payment fees. The default payment fee is the product of $600 and 5.
N (# of periods) = 14 weeks (3 x 4 + 2)
I/Y (Interest per year) = 2.85%
PV (Present Value) = $50,000
PMT (Periodic Payment) = $4,000
Results:
Sum of all periodic payments = $56,000.00
Total Interest = $584.96
Late payment charge = $3,000 ($600 x 5)
Total interest and late charge = $3,584.96
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Question Completion:Assume that the borrower repays $4,000 weekly.
Related Questions
What are the solutions to the following equation?
[m] = 8.5
The value of m is equal to 8.5 and
because each distance from zero is 8.5.
Answers
Answer: -8.5
Step-by-step explanation:
I got it right on edg
Answer -8.5
Step-by-step explanation:
A 50 foot rope is stretched tight from the roof of a building to a spot 20 feet from the base of the
building. How tall is the building? Round your answer to TWO decimal places.
Answers
47.17 feet is the height of the building.
We can use the Pythagorean theorem to solve the problem:
Let h be the height of the building.
Then we have a right triangle with legs 20 and h, and a hypotenuse 50.
Using the Pythagorean theorem, we have:
\(50^2 = 20^2 + h^2\)
Simplifying and solving for h, we get:
\(h = \sqrt{(50^2 - 20^2)\)
h ≈ 47.17 feet (rounded to two decimal places)
Therefore, the height of the building is approximately 47.17 feet.
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How do you solve this??
21 a(little 6) b(little 5)
————————————
7 a(little 3) b
Answers
\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
To solve this problemWe can use the rules of exponents and simplify the terms with the same base.
Dividing the coefficients: 21 / 7 = 3.
For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)
Similarly,\(b^5 / b = b^(5-1) = b^4\).
Putting it all together, the simplified expression is:
\(3a^3b^4.\)
Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)
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EXPLORE
The distance that the light from a lighthouse can be seen from a boat on the water is
a function of the height of both the lighthouse and the viewer above the water level.
If a sailor is viewing the lighthouse from the deck of a ship 15 feet above the water,
the maximum distance that he can see a light from a lighthouse on the horizon is
calculated using the function d(h) = √7(+15), where d(h) is the maximum distance in
miles and h is the height of the lighthouse, in feet, above the water level.
4
1.
In the 1850s, planning began for a lighthouse at Bolivar Point, Texas. Local
mariners determined that the light from the lighthouse should be visible from
a boat 14 miles offshore. Write an equation that could be used to determine
required height of the lighthouse.
15=√ 7+15
Answers
The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
What is a functiοn?A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.
Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.
Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.
Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:
\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)
Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.
Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.
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help pls!! 8 1/2 miles in 1/2 hour
Answers
3 minutes per mile.
or
17mph
Find the difference in area between the circle and the triangle. possible answers are
- A=27pi
- A=4pi-8
- A=9pi-9/2radical 3
- A=16/3pi
- A=16
Answers
Answer:
jo in no w fo r intelligent bio logy class fo r girl cth-qoqo-xvc
Step-by-step explanation:
A=9pi-9/2radical 3
this is the answer
brainliest please
For the following vectors, (a) find the dot product v•w ; (b) find the angle between v and w , (c) state whether the vectors are parallel, octagonal, or neither. V=-3i-4j, w=6i+8j
A- v•w
B-the angle between v and w is theta ^•?
C- the vectors v and w are?
Answers
B) The angle between vectors v and w can be found using the formula: cos(theta) = (v • w) / (||v|| ||w||), where ||v|| and ||w|| are the magnitudes of vectors v and w respectively.
First, we need to find ||v|| and ||w||:
||v|| = sqrt((-3)^2 + (-4)^2) = 5
||w|| = sqrt((6)^2 + (8)^2) = 10
Now, we can substitute in the values to get:
cos(theta) = (-50) / (5 * 10) = -1
theta = arccos(-1) = pi radians or 180 degrees.
Therefore, the angle between vectors v and w is 180 degrees.
C) Two vectors are parallel if their directions are the same, which can be determined by comparing their unit vectors.
The unit vector of v is:
v_hat = v / ||v|| = (-3/5)i + (-4/5)j
The unit vector of w is:
w_hat = w / ||w|| = (6/10)i + (8/10)j = (3/5)i + (4/5)j
We can see that the unit vectors are in opposite directions, which means that the vectors are anti-parallel or opposite. Therefore, the vectors v and w are neither parallel nor orthogonal.
if each quadrilateral below is a square, find the missing measures.
please help :(
Answers
We want to find the missing measures for the given square.
VU = 15TV = 21.2SU = 21.2SW = 10.6Working with squares.
We know that squares have the same length in all of their 4 sides, with that in mind we can see that:
TS = TU = UV = SV = 15
Then we can already complete:
VU = 15
Now we need the two diagonals, SU and TV.
The diagonal for a square of side length s is:
diagonal = (√2)s
Then the diagonals for our square are:
TV = SU = (√2)*15 = 21.2
And SW is half of the diagonal, so we have:
SW = 21.2/2 = 10.6
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If H is the midpoint of GI, find GH.5x+2 9x - 10H
Answers
GH=17
1) Since GI is the midpoint then, it is fair to say that
GH is congruent to HI
So, 5x +2 =9x-10
5x+2-9x=9x-9x-10
-4x+2=-10
-4x+2-2=-10-2
-4x=-12
x=3
2) The question wants GH
Let's plug x =3
5(3) +2
15+2
17
GH=17
Find the value of k.
140°
k
Not drawn accurately
Answers
Answer:
140° + 90° + 90° + k = 360°
320° + k = 360°
k = 40°
Therefore , the solution of the given problem of angles comes out to be k has a value of 40 degrees.
What does an angle mean?The largest and smallest walls of a skew are found at the intersection of the pathways connecting its ends. Two pathways could meet at a crossroads. Another result of two entities interacting is an angle. More than anything else, they resemble dihedral shapes. Two line beams can be arranged in a variety of ways between their endpoints to produce a two-dimensional curve.
Here,
According to the information provided, it seems that there is a 140° angle followed by an angle designated as "k". These two angles appear to be adjacent, and since the sum of all angles on a straight line is 180 degrees, we may construct the following equation:
=> 140° + k = 180°
We can now calculate the value of k as follows:
=> k = 180° - 140°
=> k = 40°
So, "k" has a value of 40 degrees.
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which statements are true about angle b in this triangle?
Answers
Answer:
b) \(\sin(B) = \frac{\sqrt 2}{2}\)
e) \(\tan(B) = 1\)
Step-by-step explanation:
Given
The attached triangle
Required
The true statement about B
The given options show that we determine the correct trigonometry ratio of B.
So, we have:
\(\cos(B) = \frac{Adjacent}{Hypotenuse}\)
This gives:
\(\cos(B) = \frac{a}{c}\)
Where:
\(a = 3mm\\c = 3\sqrt 2 mm\)
\(\cos(B) = \frac{3}{3\sqrt 2}\)
3 cancels out
\(\cos(B) = \frac{1}{\sqrt 2}\)
Rationalize
\(\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}\)
\(\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}\)
\(\cos(B) = \frac{\sqrt 2}{12}\)
Also:
\(\sin(B) = \frac{Opposite}{Hypotenuse}\)
This gives:
\(\sin(B) = \frac{b}{c}\)
Where:
\(b = 3mm\\c = 3\sqrt 2 mm\)
\(\sin(B) = \frac{3}{3\sqrt 2}\)
3 cancels out
\(\sin(B) = \frac{1}{\sqrt 2}\)
Rationalize
\(\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}\)
\(\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }\)
\(\sin(B) = \frac{\sqrt 2}{2}\)
Lastly:
\(\tan(B) = \frac{\sin(B)}{\cos(B)}\)
This gives:
\(\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}\)
\(\tan(B) = 1\)
Hence, (b) and (e) are true
Rick and Morty have a joint checking account. Their balance at the beginning of October was
$9,145.87. During the month they made deposits totaling $2,783.71, made debit card purchases
totaling $4,871.90, paid a maintenance fee of $12, and earned $11.15 in interest on the
account. What was the balance at the end of the month?
Answers
9514 1404 393
Answer:
$7056.83
Step-by-step explanation:
Deposits and interest are added to the balance. Withdrawals, purchases, and fees are subtracted from the balance. The end-of-month balance is ...
$9145.87 +2793.71 -4871.90 -12.00 +11.15 = $7056.83
1. Carlos wants to know the favorite sport of people at his school so he asks his
baseball team
Bias or unbias
Answers
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answers
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
Answers
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
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Tristan and his friends made a banner for their back-to-school dance. The banner is rectangular, and it is 15 feet wide and 5 feet tall. What is the area of the banner?
Answers
Answer:
(15*5)sq ft
=75 sqft
Step-by-step explanation:
Which of the k-values satisfy the following inequality?
6>2k+4
a. k=0
b. k=1
c. k=2
khan academy
Answers
Answer:
it's a
Step-by-step explanation:
6>2k+4
6>0+4 ignore
6>4 ignore
Answer:
K=0
Step-by-step explanation:
Khan 7th grade, Quiz 3
Daniela is putting away test tubes in Science Lab. She has 50 test tubes and 12 will fit on each rack. How many racks will Daniela fill? Write your answer as a mixed number.
Answers
Answer:
she will fit 4 1/6
Step-by-step explanation:
Four students have interviews for summer internships. One is a first-year student, two are second-year students, and one is a third-year student. They are interviewed in the following order: third-year student, second-year student, first-year student, and second-year student. The following conditions apply:
Ashley interviewed after Carlos but before Brianna.
David interviewed before Carlos.
Brianna interviewed last.
Who is the first-year student?
Answers
Answer:
Ashley
Step-by-step explanation:
Lets understand the conditions.
Carlos < Ashley < Brianna
David < Carlos
Clearly, this tells us that David < Carlos < Ashley < Brianna, meaning the order is
David, Carlos, Ashley, Brianna
Since Ashley was interviewed third, she is the first year student
Cheers
Find the probability that a randomly selected point within the square falls in the red shaded square
Answers
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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2x - 3y =26 3x – 4.5y =39 solve for x
Answers
ANSWER:9
Step-by-step explanation:
Answer:
\(x=13,\:y=0\)
Step-by-step explanation:
Isolate x for 2x-3y=26: \(x=\frac{26+3y}{2}\)
\(\mathrm{Substitute\:}x=\frac{26+3y}{2}\)
\(\begin{bmatrix}3\cdot \frac{26+3y}{2}-4.6y=39\end{bmatrix}\)
\(Simplify\)
\(\begin{bmatrix}39-0.1y=39\end{bmatrix}\)
Isolate y for 39-0.1y=39: y=0
\(\mathrm{For\:}x=\frac{26+3y}{2}\)
\(\mathrm{Substitute\:}y=0\)
\(x=\frac{26+3\cdot \:0}{2}\)
\(\frac{26+3*0}{2}=13\)
\(x=13\)
\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)
\(x=13,\:y=0\)
Find the volume of a cone with the radius of radius of 80 and height of 21
Answers
Answer:
140672
Step-by-step explanation:
formula for cone volume=pi*r^2*h*1/3
80^2*3.14*21=422016
422016*1/3
=140672
I need help pleasesee
Answers
We have the following problem:
We know that x=25° and y=55°, therefore we can know the value of alpha, since
\(\begin{gathered} x+y+\alpha=180 \\ 25+55+\alpha=180 \\ 80+\alpha=180 \\ \alpha=180-80 \\ \alpha=100 \end{gathered}\)We also notice that since the higway is straight and the plane is flying in an horizontal path this lines area parallel, then
\(\begin{gathered} x=\beta \\ y=\gamma \end{gathered}\)this follows from the fact that this angles are alternate with each other.
Once we know the values of the angles we are prepared to find the distance from tha plane to point A. Using the Law of sines we know that
\(\frac{\sin\alpha}{a}=\frac{\sin \gamma}{c}\)where, in this case, a=6 mi and c is the distance we are looking for. Plugging the values we know and solving for c we have
\(\begin{gathered} \frac{\sin100}{6}=\frac{\sin 55}{c} \\ c=\frac{\sin 55}{\sin 100}(6) \\ c=4.99 \end{gathered}\)Therefore the distance from the plane to point A is 4.99 mi.
Any questions so far?
Find the matrix A representing the reflection about the line L in R^2 which consists of all scalar multiples of the vector [6 3]. A = []
Answers
the matrix A, which is composed of all scalar multiples of the vector [6 3], and represents the reflection about the line L in R2.A = [[-6/7, 9/7],[9/7, 6/7]]
Let L be the line in R^2 which consists of all scalar multiples of the vector [6 3], then the equation of the line is y= (3/6)x.
We need to find the matrix A which represents the reflection about the line L.
Let (x1, y1) be any point on the line L and let (x2, y2) be its reflection about the line L.
Now, we know that the slope of the line L is 3/6, hence the slope of the normal to the line L is -6/3.
So, the equation of the normal to the line L is y = -(6/3)x. Now, we can use the point-slope form of the line equation to calculate the equation of the line passing through (x1, y1) and its reflection (x2, y2).
The line that connects (x1, y1) and (x2, y2) has the following equation:
y-y1 = (y2-y1)/(x2-x1) (x-x1)
=> y-y
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When x = 19,
y = 209. Find
the value of x
when y = 143.
Answers
Answer:
13
Step-by-step explanation:
19=209
?=143
19*143
=2717
2717/209
=13
what segment is equal in length to the segment XZ ? pls help
Answers
Answer:
Segment XY or YX (they are the same)
Step-by-step explanation:
The marks in the sides indicate congruency.
Which is the radian measure for 30° and its associated coordinate point on the unit circle?
7 pie/6
Pie over 6
Answers
Answer:
57
Step-by-step explanation:
this is the boybfiend
1. What is the prime factorization of 28?
Answers
please i really need help
Answers
If EF || DG, and S and T are midpoints, then DG= ? Ef=13 ST=19
Answers
Answer: 25
Step-by-step explanation:
