Assume that you take out a $2000 loan for 49 months at 4.5% APR. How much total interest will you have paid at the end of the 49 months? (Round your answer to the nearest cent.)
Answers
To calculate the total interest paid on a loan, we need to use the formula:
Total interest = Total amount paid - Principal
where Total amount paid = Monthly payment x Number of months and Principal is the amount of the loan.
First, let's calculate the monthly payment using the formula for a fixed-payment loan:
Monthly payment = [Principal x Rate x (1 + Rate)^N] / [(1 + Rate)^N - 1]
where Rate is the monthly interest rate (4.5% APR divided by 12), and N is the total number of payments (49 months).
Rate = 4.5% / 12 = 0.375%
N = 49
Monthly payment = [2000 x 0.00375 x (1 + 0.00375)^49] / [(1 + 0.00375)^49 - 1] = $45.99 (rounded to the nearest cent)
Now, we can calculate the total amount paid over the life of the loan:
Total amount paid = Monthly payment x Number of months = $45.99 x 49 = $2,253.51
Finally, we can calculate the total interest paid:
Total interest = Total amount paid - Principal = $2,253.51 - $2,000 = $253.51
Therefore, the total interest paid at the end of the 49 months is $253.51 (rounded to the nearest cent).
Related Questions
please help me answer this question thank you
Answers
Answer:
A
Step-by-step explanation:
Cole used 46 feet of fencing to create a pen. she used to fence around the perimeter of the pen. the length is 3 times one more than its width. she needs the total area of the pen is 200 square feetI have to describe the variables and constants including units
Answers
Let L be the length and W be the width. In this case we only need to assign to each name a letter.
simplify 13¹/3+2¹/3-10/2
Answers
The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.
Given
13¹/3+2¹/3-10/2
Required simplified it =?
First, we have simplified both constants separately
13¹/3 = (3 * 13 + 1) / 3 = 40/3
2¹/3 = (3 * 2 + 1) / 3 = 7/3
now the expression become = 40/3 + 7/3 - 10/2
now taking LCM of 3 and 2 which is 6.
= 80/6 + 14/6 - 30/6
now we have to simplify this fraction by dividing by 2 = 64/6
Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.
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Let C be the positively oriented square with vertices (0,0), (3,0), (3,3), (0,3). Use Green's Theorem to evaluate the line integral
∫C 8y^2 x dx + 6x^2 y dy
Answers
Let D denote the region whose boundary is C. By Green's theorem,
\(\displaystyle \int_C 8y^2x\,\mathrm dx + 6x^2y\,\mathrm dy = \iint_D \frac{\partial(6x^2y)}{\partial x} - \frac{\partial(8y^2x)}{\partial y} \,\mathrm dx\,\mathrm dy \\\\ = \int_0^3 \int_0^3 (12xy-16yx)\,\mathrm dx\,\mathrm dy \\\\ = -4 \int_0^3 \int_0^3 xy\,\mathrm dx\,\mathrm dy = \boxed{-81}\)
25. Find the length of x. Round to the nearest
tenth.
100 ft
32°
Answers
Answer:
the answer should be 64ft for x
Evaluate each function.
g(n) = 3n + 3; Find g(-3)
Answers
Answer:
g(-3) = - 6Step-by-step explanation:
g(n) = 3n + 3
To find g(-3) , substitute the value of n that's - 3 into g(n). That is for every n in g(n) replace it with - 3
We have
g(-3) = 3(-3) + 3
= - 9 + 3
We have the final answer as
g(-3) = - 6Hope this helps you
WILL MARK BRAINLEIST!!!!!
A student is buliding a parallelogram shaped deck with a base of (4x + 3) feet and a height of (3x - 2) feet. Which polynominal represents the area of her deck in square feet
Answers
4x+3=4x+3, feet=fe^2t, 3x−2=3x−2, feet=fe^2t
Step-by-step explanation:
Find the slope between the points (1,4) and (-4,-6).
Answers
Answer:
The answer should be -3/2 I believe
Step-by-step explanation:
Formula I used: (x1-y1)/(x2-y2) = x/y (fraction) then simplify if possible
ex: (1 - 4)/(-4 - -6) = -3/2, cannot simplify so that is your answer
Can you Simplify
5a - a
Answers
Answer:
4a is the answer.
Step-by-step explanation:
5a - a
= 4a
Answer:
It is 4a.
Step-by-step explanation:
=5a-a
=4a
Hope it helps you..
You and your friend each deposit $50 in separate savings accounts. Your account earns 4% simple annual interest. Your friend’s account earns 6% simple annual interest. How long does it take for you to earn $12 in interest? How long does it take for your friend to earn $12 in interest?
I need help! Needs answers quick
Answers
I can earn simple interest $12 in 6 years and My friend can earn simple interest $12 in 4 years.
What is simple interest?
The principal of a loan or the initial deposit into a savings account serves as the foundation for simple interest. Because simple interest doesn't compound, a creditor will only pay interest on the principal sum, and a borrower will never have to pay interest on the interest that has already accrued.
Principle = $50
Rate of Interest I1 = 4%
Interest = $12.
Interest = \(\frac{PNR}{100}\)
=> 12 = \(\frac{50\times 4\times N}{100}\)
=> N = \(\frac{12}{2}= 6\) years.
Rate of Interest I2 = 6%
=> 12 = \(\frac{50\times 6\times N}{100}\)
=> N = \(\frac{12}{3}\) = 4 years.
Hence I can earn $12 in 6 years and My friend can earn $12 in 4 years.
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Suppose f′(6)=5 and g′(6)=7.
Find h′(6) where h(x)=4f(x)+5g(x)+1.
Answers
The value of the derivative of functions h'(6) as requested in the task content is; 55.
What is the value of h'(6)?Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.
Hence, the derivative of h(x) can be evaluated as;
h'(x)=4f'(x)+5g'(x)
On this note, by substitution, it follows that;
h'(6)=4(5)+5(7)
h'(6) = 55.
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Which of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D
Answers
Answer:
Set D
Step-by-step explanation:
There's 2 different y-values for the x value, 2 in Set D
If the radius of the circular base is 3in, and the height of the cylinder is 5 in. What is the volume of the cylinder?
Answers
Volume of the cylinder is given as,
\(\begin{gathered} V=\frac{4}{3}\pi\times R^2\times H \\ =\frac{4}{3}\times\frac{22}{7}\times3^2\times5 \\ =\frac{88\times45}{21} \\ =\frac{3960}{21} \\ =188.57\text{ cube inches } \end{gathered}\)Hence, the volume of cylinder is 188.57 cubic inches.
- A 3-pound bag of whole apples costs $3.75, and a 2-pound bag of peeled apple slices costs $5.74. Miguel buys 12 pounds of peeled apple slices for the marching band and several bags of whole apples for a class field trip. Miguel spends $45.69. How many pounds of whole apples did Miguel buy?
Answers
We know that Miguel buys 12 pounds of peeled apple slices, which cost 5.74 dollars per 2-pound bag. Therefore, the cost of these peeled apple slices is:
12/2 * 5.74 = 34.44 dollars
The total cost of Miguel's purchase is $45.69. Therefore, we can write an equation:
3.75x + 34.44 = 45.69
Simplifying and solving for x, we get:
3.75x = 11.25
x = 3
Therefore, Miguel bought 3 bags of whole apples, each weighing 3 pounds, for a total of 9 pounds of whole apples.
Given:
The cost of a 3-pound bag of whole apples is $3.75.
The cost of a 2-pound bag of peeled apple slices is $5.74.
Miguel bought 12 pounds of peeled apple slices.
The total amount spent by Miguel is $45.69.
We can set up the following equation based on the information provided:
3x + (12/2) * 5.74 = 45.69
Since Miguel bought 12 pounds of peeled apple slices, we add (12/2) * 5.74 to account for the cost of the peeled apple slices.
Simplifying the equation:
3x + 6 * 5.74 = 45.69
3x + 34.44 = 45.69
3x = 45.69 - 34.44
3x = 11.25
x = 11.25 / 3
x ≈ 3.75
Therefore, Miguel bought approximately 3.75 pounds of whole apples.
I hope this helps! :)
Erin has previously recorded all credit card activity manually using the Expense transaction screen and reconciled the account using the Reconciliation Tool. After connecting her credit card in the Banking Center, she doesn’t see any matches for the transactions she previously entered and reconciled.
Answers
Answer:
The steps Erin has to take for the reconciliation of her account and activities is as follows: Select the reconciled transactions, Select Batch actions, and Modify the selected ones.
Step-by-step explanation:
Solution
Since Erin could not detect any matches for the transactions she has entered before and enrolled, she needs to take the following processes to reconcile back all her credit activities which is stated below:
Process 1 :Select the reconciled transactions
Process 2 :Batch Actions
Process 3: Modify Selected
From the process stated above Erin can first of all choose the reconciled transactions, after that she can select the batch actions and lastly modify the ones that was selected with the aim of putting or adding them back in the account reconciliation.
Solve the given initial-value problem.
y''' − 2y'' + y' = 2 − 24ex + 40e5x, y(0) =
1
2
, y'(0) =
5
2
, y''(0) = −
11
2
the values for the first 3 derivatives derivatives of y are 1/2, 5/2, -11/2 respectively
Answers
The given differential equation:
y''' − 2y'' + y' = 2 − 24ex + 40e5x,
y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2
Therefore, the next solution is 13/2
Differential Equation:
In mathematics, a differential equation is an equation relating one or more unknown functions to their derivatives. In applications, functions usually represent physical quantities, derivatives represent rates of change, and differential equations define the relationship between them. These relationships are common.
Now,
Given differential equation is
y''' - 2y'' +y' = 2- 24eˣ +40e⁵ˣ ------------ (1)
Auxiliary equation is m³ - 2m² +2m = 0
Now,
m(m² - 2m +2) = 0
⇒ m(m-1)² = 0
Therefore, m = 0,1,1
Therefore,
\(y_{c} = c_{1}+ c_{2} e^{x} + c_{2}x e^{x}\)
Now, we have to find the particular solution by method of undetermined coefficient.
\(y'_{y} = a + b(x^{2} e^{x} +2xe^{x} ) +5ce^{x}\)
⇒ \(y''_{p} = a + bx^{2} e^{x} +2bxe^{x} +5ce^{x}\)
⇒ \(y''_{p} = b(x^{2} e^{x} +2xe^{x}) + 2b(ex^{x}+ e^{x} +25ce^{x}\)
⇒ \(y'''_{p} = bx^{2} e^{x} +6bxe^{x} +6be^{x} +125ce^{5x}\)
Putting these values in differential equation (1), we get:
y'''(0) = 13/2
Complete Question:
Solve the given initial-value problem. y''' ? 2y'' + y' = 2 ? 24ex + 40e5x, y(0) = 1 2 , y'(0) = 5/ 2 , y''(0) = ? 13/ 2
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Solve the linear system using the elimination method. Type youranswer as an ordered pair in the form (#,#). 6x + 5y = -15-2x – 3y = 17
Answers
1) Solving that linear system using the elimination method, we'll proceed this way.
1.1 Choose one variable to be canceled out firstly. Let's choose the x variable:
6x + 5y = -15
-2x -3y= 17 Multiply this whole equation by 3
6x + 5y = -15
-6x -9y= 51 Add both equations
----------------------
0 -4y =36 Divide both sides by -4
y = -9
2) Now let's plug into any equation, usually the one with smaller numbers y= -9
-2x -3(-9) = 17
-2x +27 = 17 Subtract 17 from both sides
-2x =17-27
-2x = -10 Divide both sides by -2
x= 5
3) So the solution is (5, -9)
-
Which function has the same domain as y = 2 StartRoot x EndRoot
Answers
Answer:
the answer is A y = StartRoot 2 x EndRoot
Step-by-step explanation:
A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive 85% of the time if the person has the virus and 10% of the time if the person does not have the virus. (This 10% result is called a false positive.) Let A be the event "the person is infected" and B be the event "the person tests positive".
Answers
The probability that a person has the virus given that they have tested positive is 3.24%.
The probability that a person does not have the virus given that they test negative is 99.93%.
What is Probability?Here we have following probabilties:
P(A)=1/300, P(A')=1-(1/300)=299/300
P(B|A)=0.80, P(B|A')= 0.08
From the law of total probability is
P(B)=P(B|A)P(A)+P(B|A')P(A')
\(=0.80\cdot \frac{1}{300}+0.08\cdot \frac{299}{300}\\\\=0.0824\)
By the Baye's theorem we have
P(A|B) = \(\frac{P(B|A)P(A)}{P(B)}\\\\=\frac{0.80\cdot \frac{1}{300}}{0.0824}\\\\=0.0324\)
So the probability that a person has the virus given that they have tested positive is 3.24%.
(b)
From the law of total probability is
P(B')=P(B'|A)P(A)+P(B'|A')P(A')
\(=0.20\cdot \frac{1}{300}+0.92\cdot \frac{299}{300}\\\\=0.9176\)
By the Baye's theorem we have
P(A'|B')=\(\frac{P(B'|A')P(A')}{P(B')}\\\\=\frac{0.92\cdot \frac{299}{300}}{0.9176}\\\\=0.9993\)
So the probability that a person does not have the virus given that they test negative is 99.93%.
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Cuantas Escuelas de administración hay ?
Answers
The perimeter of any rectangle in which the length is 4 more than twice the width is P = 6 w + 8 , where w is the width. Which formula can be used to find the width given the perimeter? Multiple choice question. cross out A) w = P − 4 3 cross out B) w = 1 6 P − 8 cross out C) w = − P + 8 6 cross out D) w = P − 8 6
Answers
Answer: option D
Step-by-step explanation:
Given equation:
P = 6 w + 8 [eq1]
l=2w+4 [where l is length]
using eq1 we have:
6w=P-8
w=(P-8)/6
hence option D
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The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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Which decimal is the largest?
A. 0.03
B. 0.3
C. 0.29
D. 0.039
Answers
The answer is B 0.3 because its 3/10 and all of the others is lesss
four times the difference of a number and 1 is 18
Answers
Answer:
17+1=18 i think that is what you mean
Step-by-step explanation:
Geometry Question!! PLEASE HELp
Answers
The difference between the distance travelled by any point on the record and it's label is; 27.57cm.
What is the difference between the distance travelled in each case?According to the task content, it follows from observation that the quantity required is the difference between the circumference in each case and can be evaluated as follows;
Difference = π(17.78 - 9)
Difference = (22/7) × 8.78
Difference = 27.57cm.
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Graph the solution to this inequality on the number line (pls help!)
Answers
Answer: A. x <= -3
Step-by-step explanation:
First, let's begin by simplifying the inequality:
-4x >= 12 ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...
-4x / -4 <= 12 / -4 ← Simplify...
x <= -3
Now, we need to find the right number line representing this inequality.
There should be a solid dot over -3, because the inequality includes the value -3 (x includes values less than and equal to -3).The number line should be pointing to the left, towards values less than -3.The number line that fits these criteria would be A.
In the diagram, m < AFB = 78
Which angle is complementary to
Answers
The angle BFC is the angle that is complementary to AFB
What is a complementary angleWhenever the sum of two angles adds up to 90 degrees, they are defined as complementary angles. Take 30 and 60 degrees, for instance; they are complementary angles.
From the definition we have to find the angle when if added to AFB would give us the sum of 90 degrees
AFC is a 90 degree angles
We have AFC = AFB + BFC
90 = 78 + BFC
BFC = 90 - 78
= 12
Hence the angle BFC is the complementary angle
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Find the product:
-4/7 (- 13/2)
(In fraction form plz <3)
Answers
Answer:
26/7
Step-by-step explanation:
-4(-13) = 52
7(2) = 14
52/14 = 26/7
Find the volume of the following figure
Answers
so it would be 6 x 4 x 2 so the answer is 48
Assuming that heights of professional male tennis players follow a bell-shaped distribution, arrange in ascending order.
I. A height with a z-score of 1
II. A height with a percentile rank of 80 percent
III. A height at the third quartile Q₃
(A) I,II,III
(B) I,III,II
(C) II,I,III,
(D) III,I,II
(E) III,II,I
Answers
A height with a z-score of 1 is the lowest, a height with a percentile rank of 80 percent is in the middle, and a height at the third quartile Q₃ is the highest.
A bell-shaped distribution is also known as a normal distribution. It is a symmetrical distribution where the mean, median, and mode are all equal. The distribution has two tails that extend out from the mean in either direction. A height with a z-score of 1 is the lowest because a z-score of 1 is one standard deviation below the mean. A height with a percentile rank of 80 percent is in the middle because it is the 80th percentile, meaning that 80 percent of the data is lower than it. A height at the third quartile Q₃ is the highest because it is the 75th percentile, meaning that 75 percent of the data is lower than it. In ascending order, the heights arranged are III, II, and I.
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