A car loan worth 800,000 pesos is to be settled by making equal monthly payments at 7% interest compounded monthly for 5 years. How much is the monthly payment? How much is the outstanding balance after 2 years?
Answers
The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.
To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:
P = (r * PV) / (1 - (1 + r)^(-n))
Where:
P is the monthly payment
r is the monthly interest rate
PV is the loan amount (present value)
n is the total number of payments
In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.
Substituting these values into the formula, we have:
P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))
Calculating this expression, we find that P ≈ 16,216.38 pesos.
So, the monthly payment for the car loan is approximately 16,216.38 pesos.
To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:
Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r
Where:
PV is the loan amount (present value)
r is the monthly interest rate
n is the number of payments made
Substituting the given values into the formula, we have:
Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)
Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.
So, the outstanding balance after 2 years is approximately 650,577.85 pesos.
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Related Questions
what is the slope of the line that contains points x,y (-4,-3) (1,-2) (6,-1) (11,0)
Answers
Answer:
1/5 or 0.2
Step-by-step explanation:
(-3- -2) / (-4- 1)
-1/-5
Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with rodell’s method for collecting his data?.
Answers
The problem with Rodell's method for collecting data is that it may result in a biased sample.
Determine the rodell's method?Rodell is only polling the students on his football and basketball teams, which means the sample he collects is not representative of the entire student population at his school.
The favorite gaming app among the students on his teams may not be the same as the favorite gaming app among the broader student population.
To obtain a more accurate representation of the students' preferences, Rodell should aim for a random sample that includes students from various groups within the school, such as different grade levels or extracurricular activities.
This would help to minimize bias and ensure that the results reflect the overall preferences of the student body.
By solely relying on the football and basketball teams, Rodell's method limits the diversity of the sample, potentially leading to skewed results and an inaccurate conclusion about the favorite gaming app among all students at the school.
Therefore, Rodell's data collection method is flawed because it could lead to a biased sample, as it only includes students from his football and basketball teams.
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Which equation could represent a linear combination of the system?
Answers
The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the linear combination to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2/3x + 5/2y = 15
4x + 15y = 12
Multiply the first equation by 6, to eliminate the fractions.
6 * (2/3x + 5/2y = 15)
This gives
4x + 15y = 90
Subtract the equation 4x + 15y = 90 from 4x + 15y = 12
4x - 4x + 15y - 15y = 12 - 90
Evaluate the difference
0 + 0 = -78
Evaluate the sum
0 = -78
The above equation is the same equation as option (b) 0 = 26
This is so because they both represent that the system of equations have no solution
Hence, the equation that could represent a linear combination of the system is 0 = 26
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Complete question
The system of equations below has no solution.
2/3x + 5/2y = 15
4x + 15y = 12
Which equation could represent a linear combination of the system?
PLS HELP! Which statement is true about the given function?
Answers
The statement which is true about the given graph is that f(x)<0 in the interval (-∞,3) which is option 3.
Given Graph of a function
We have to choose a statement which is correct about the function whose graph is given.
The graph of a function tells us about the domain and range of the function. The values on y axis are the codomain of the function and the values on x axis are the values of domain.
When we see the graph we can find that x=-∞ to x=3 the values are negative means when we put the values of x less than 0 we will get negative number. For example if we put the value of x=-1, we will get -20 which is a negative number.
Hence the third statement is true for the given graph which is that it has values less than zero in the interval (-∞,3).
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IM SO CONFUSED! HELP AND EXPLAINNNNNN
Answers
Answer:
326.56 sq in
Step-by-step explanation:
SA=2*3.14*4^2+2*3.14*4*9
SA= 100.48+ 226.08
SA= 326.56
Plug numbers in equation and then solve equation. R=4 and h=9.
list a few factors of 24?
Answers
Answer:
1,2,3,4,6,8,12,24
Step-by-step explanation:
a circle has a radius of 17in. find the radian measure of the central angle 0 that intercepts an arc of length 12in .
Answers
To find the radian measure of a central angle that intercepts an arc of length 12 inches in a circle with a radius of 17 inches.
In a circle, the relationship between the central angle (θ) and the arc length (s) is given by the formula s = rθ, where r is the radius of the circle. In this case, the radius (r) is 17 inches, and the arc length (s) is 12 inches.
To find the radian measure of the central angle (θ), we rearrange the formula as follows:
s = rθ (Divide both sides by r)
θ = s/r
Substituting the given values:
θ = 12/17
Therefore, the radian measure of the central angle that intercepts an arc of length 12 inches in a circle with a radius of 17 inches is approximately 0.7059 radians.
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What is the slope of this graph?
1. - 1/3
2. 1/3
3. -3
4. 3
Answers
find two points then do rise over run
the rise is -3 and the run is 1 which just makes it -3.
Linda can sell 12 magazine subscriptions per week and makes $\$ 4.00$ for each magazine subscription she sells. Obviously this means that Linda will make (12) $(\$ 4.00)=$ $\$ 48.00$ per week from magazine subscriptions. Explain this result mathematically, using mathematical notation and the chain rule.
Answers
The case mentioned above is resolved via multiplication.
Given information,
Linda can sell 12 magazine subscriptions per week and makes 4$ for each magazine subscription she sells. This means that Linda will make 48$ per week from magazine subscriptions.
To show it mathematically,
1 week ⇒ 12 magazines
Each of them costs $4;
⇒ 12 * 4$ = 48$ per week
By using multiplication we solve the above-given case.
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Look at this graph:
y
100
90
80
70
60
50
40
30
20
10
X
0
10
20 30 40 50 60 70 80 90 100
What is the slope?
Answers
Find the x- and y-intercepts of the graph of each ... CCSS REASONING The equation 5x + 10y = 60 ... 20. SOLUTION: The x-intercept is the point at which the y-coordinate is 0, or the line ... charges $50 for admission before 6 p.m. and $20 for ... (90, 70). 100 f (100) = 160 – (100). 60. (100, 60). 130 f (130) = 160 – (130). 30.
Gabriel is making bread, and his recipe calls for 4/6 cups of flour. however, he has only a 1/3 -cup measuring scoop. how many times will gabriel need to use his measuring scoop to make the bread?
Answers
Answer:
twice
Step-by-step explanation:
\(\frac{4/6}{1/3} =\frac{(4)(3)}{(1)(6)} =12/6 = 2\)
Hope this helps
The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Gabriel is making bread, and his recipe calls for 4/6 cups of flour. in any case, he has just a 1/3 cup estimating scoop.
Then the number of times that Gabriel needs to use his measuring scoop to make the bread will be given as,
⇒ (4/6) / (1/3)
⇒ (4/6) x (3/1)
⇒ 4 x 3 / 6
⇒ 12 / 6
⇒ 2 times
The number of times that Gabriel needs to use his measuring scoop to make the bread will be 2 times.
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If g(x)=3(x+3)^2-2, which statement is true?
Answers
Answer: B
Step-by-step explanation:
I suppose that f(x) is the curves drawn in red
Minimum f(x)=-8 (for x=-3)
Minimum g(x) =-2 (for x=-3)
Minimum g(x) > minimum f(x)
Answer B
HGFE is a parallelogram. HE= x^2-x
- 10 and GF= 2 - 4x
Find x
Answers
To find the value of x in the parallelogram HGFE, we can use the properties of parallelograms.
In a parallelogram, opposite sides are equal in length. Therefore, we can set up the following equation:
HE = GF
Using the given information:
x^2 - x = 2 - 4x
Rearranging the equation:
x^2 + 3x - 2 = 0
Now we can solve this quadratic equation for x. Using factoring, the equation can be written as:
(x - 1)(x + 2) = 0
Setting each factor equal to zero:
x - 1 = 0 or x + 2 = 0
Solving for x:
x = 1 or x = -2
Therefore, there are two possible values for x in the parallelogram HGFE: x = 1 or x = -2.
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PLEASE ANSWER FAST
Question 5(Multiple Choice Worth 2 points)
(Identifying Functions LC)
The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.
A mapping diagram with one circle labeled x values containing values negative 3, negative 1, 1, 3, and 5 and another circle labeled y values containing values 0, 2, and 5 and arrows from negative 3 to 0, negative 1 to 2, 1 to 0, 3 to 2, and 5 to 5.
Is the relation a function? Explain.
No, because for each input there is not exactly one output
No, because for each output there is not exactly one input
Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
Answers
The answer is "Yes, because for each input there is exactly one output."
What is function?In mathematics, a function is a relation between two sets in which each element of the first set (called the domain) is associated with exactly one element of the second set (called the range or codomain). The concept of a function is one of the central ideas in mathematics and is used in many areas, including algebra, calculus, geometry, and statistics. A function is typically denoted by a symbol such as f(x) or g(x,y), where the input values (or independent variables) are represented by the variables inside the parentheses, and the output values (or dependent variables) are represented by the expression on the right-hand side of the equation.
Here,
A relation is a set of ordered pairs where the first component of each pair is an input and the second component is the output. A relation is a function if each input has exactly one output.
In this mapping diagram, the circle labeled x values contains the inputs -3, -1, 1, 3, and 5. The circle labeled y values contains the outputs 0, 2, and 5. Each input in the circle labeled x values is connected to exactly one output in the circle labeled y values. Therefore, for each input, there is exactly one output, and the relation is a function.
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even if the research hypothesis is true, an experiment may not produce significant results because:
Answers
The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.
One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.
it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.
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a research student is working with a culture of bacteria that doubles in size every 30 minutes. the initial population count was 2525 bacteria. what is the population after 4 hours?
Answers
The population of bacteria after 4 hours will be 10342400.
Define exponential equation.Equations with exponent variables are known as exponential equations. For example, exponential equations are in the form ax=by . Use the equality of exponential functions property to solve exponential equations with the same base. Only if x=y does bx=by apply if b is a positive number other than 1 and other than 1. In the biological sciences, exponential functions are frequently employed to simulate the evolution of a certain quantity over time, such as population number. Experimental data graphs are often created with the quantity on the y-axis and the time on the x-axis.
Given,
The initial population count was 2525 bacteria.
Culture of bacteria that doubles in size every 30 minutes.
The exponential equation accurately captures the scenario.
p = 2525×2^(t/20) t in minutes; p is the number of people.
The population is at its peak after 4 hours (240 minutes).
Population after three hours:
p = 2525×2^(240/20)
p = 2525×2¹²
p = 10342400
The population of bacteria after 4 hours will be 10342400.
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1. Martin makes $7.00 per hour working at Walmart and $10.00 per hour at a restaurant. Next week,
Martin is scheduled to work 6 hours at Walmart. Write an inequality that represents the amount of hours
(h) that Martin needs to work at the restaurant next week to earn at least $142 between his two jobs?
Answers
He makes $42 from Walmart.($7x6hrs) , which means he needs to make $100 at the restaurant. If he works 10 hrs at $10/hr= $100.
So Walmart $42+ $100 at restaurant =$142.
what is -8(4k+2)=112
Answers
Answer:K= -4
Step-by-step explanation:
Problem 2: Solve the matrix equation for "x" and "y" 8 -X 2 13 4 1- [ 3 -9 10 -4y 5 6 [ 0 16
Answers
Solve the operation of the matrix
\(\begin{gathered} 2\begin{bmatrix}{8} & {-x} & {} \\ {5} & {6} & {} \\ & {} & {}\end{bmatrix}{}-\begin{bmatrix}{3} & {-9} & {} \\ {10} & {-4y} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{13} & {4} & {} \\ {0} & {16} & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{16} & {-2x} & {} \\ {10} & {12} & {} \\ {} & & {}\end{bmatrix}-\begin{bmatrix}{3} & {-9} & {} \\ {10} & {-4y} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{13} & {4} & {} \\ {0} & {16} & {} \\ {} & {} & {}\end{bmatrix} \\ \begin{bmatrix}{13} & {-2x+9} & {} \\ {0} & {12+4y} & {} \\ {} & {} & {}\end{bmatrix}=\begin{bmatrix}{13} & {4} & {} \\ {0} & {16} & {} \\ {} & {} & {}\end{bmatrix} \end{gathered}\)From this result we know that
\(\begin{gathered} -2x+9=4 \\ 12+4y=16 \end{gathered}\)Now clear x and y from the equations
\(\begin{gathered} -2x+9=4 \\ -2x=-5 \\ x=-\frac{5}{-2} \\ x=\frac{5}{2} \end{gathered}\)\(\begin{gathered} 12+4y=16 \\ 4y=4 \\ y=\frac{4}{4} \\ y=1 \end{gathered}\)x is 5/2 and y is 1
Pls help asap. annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. she plans to rest when she has completed half of her trip. what part of the trip does annie still have to travel to reach her destination.
Answers
The part of the trip does Annie still have to travel to reach her destination is 24.64.
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. she plans to rest when she has completed half of her trip.
what part of the trip does Annie still have to travel to reach her destination.
We have to determine part of the trip does Annie still have to travel to reach her destination
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour.
She plans to rest when she has completed half of her trip.
2/7 Annie traveled in the first hour = 2/7*60 = 17.1428hours
and 1/8 in one hour,
1/8*60=7.5minutes
What are the total hours to reach the destination?
The distance traveled in the first hour+distance traveled in the second hours=total distance travelled.
Therefore the total distance =7.5+17.14=24.64
The part of the trip does Annie still have to travel to reach her destination is 24.64
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The length of a rectangle is 5 units more than the width. The area of the rectangle is 36 square units. What is the length, in units, of the rectangle?
Answers
Answer:
Step-by-step explanation:
Area = length times width
w = width
length = w + 5
Area = 36
w(w +5) = 36
w² + 5w = 36
w² + 5w - 36 = 0
Factor
(w + 9)(w -4) = 0
solve each root
w + 9 = 0
w + 9 - 9 = 0 - 9
w = -9
w - 4 = 0
w -4 +4 = 0 + 4
w = 4
The two roots to the equation are -9, 4.
-9 is not an answer to the problem, as it makes no sense. But 4 is an actual root.
the length is 5 + 4 = 9
So the length is 9 units.
Sorry for the fact that this is in French but i have exams coming up and i don’t understand this concept. You can translate and explain in English, idc. It’s Annuities
Annuité : Une série d'un nombre donné de versements ou de retraits périodiques.
Annuité de fin de période : Une annuité dont les versements sont effectués à la fin de
chaque période.
M = (R[(1 + i)^n −1])/i
M représente le montant total au moment du dernier versement
R représente la somme versée périodiquement, en dollars
i représente le taux d'intérêt par période de capitalisation, sous forme décimale
n représente le nombre de périodes de capitalisation.
Ex1. À la fin de chaque mois, pendant 3 ans, Patrick dépose 100 $ dans un compte qui
rapporte 6% d'intérêt par année, composé mensuellement.
a) Détermine le solde du compte au bout de 3 ans
b) Quel est le total de l'intérêt accumulé ?
Answers
a) Pour déterminer le solde du compte au bout de 3 ans, nous devons utiliser la formule de l'annuité de fin de période. Il y a un total de 3 ans x 12 mois/an = 36 mois de capitalisation. Le taux d'intérêt par mois est de 6%/12 = 0.005. La somme déposée chaque mois est de 100 $. En utilisant la formule, nous pouvons calculer le solde final:
M = (R[(1 + i)^n −1])/i
M = (100 [(1 + 0.005)^36 −1])/0.005 = $51,664.23
b) Pour calculer le total de l'intérêt accumulé, nous pouvons soustraire le montant total des dépôts (100 $ x 36 mois = $3,600) au solde final du compte.
Intérêt accumulé = Solde final du compte - Montant total des dépôts
Intérêt accumulé = $51,664.23 - $3,600 = $48,064.23
En résumé, le solde final du compte après 3 ans est de 51,664.23 $ et l'intérêt accumulé est de 48,064.23 $.
J'espère que cela aide et a été correctement traduit haha
calculate the slope of the line shown on the graph using any two of the labeled points. Show your work on paper or in the box below.
Answers
Explanation: the slope is three because every point goes up by three (and over to the right one) in order to get to the next point on the graph
Please help will give Brainlyest
Answers
Answer:
2.8
Step-by-step explanation:
0.4x7=2.8
Which set of data represents y as a function of x?
Answers
Answer:
B.
Step-by-step explanation:
All of them failed either the vertical line test or has the same domain (x)
Hope this helps!
Answer:
B. {(5,2), (3,4), (1, 2), (-1, -4)}
Step-by-step explanation:
B is the only one that doesn't have a repeated domain or x value like the other ones
Ava bought a pair of shorts online for $47. She used a coupon code to get a 40% discount. The website also applied a 10% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answers
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft by 7.5 ft by 6 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.
Answers
Answer:
Step-by-step explanation:
V = w h l
V = 7.5 * 7.5 * 6
V = 337.5cubic feet * 0.05
V = 16.875Lbs
V = 17Lbs (Rounded to nearest pound)
Which number is a solution of the inequality x <-4? Use the number line to help answer the question.
++++
-9 8 7 6 5 4 -3 -2 -1 0 1
-5
-3
2.
Answers
Answer:
0 is the answer
Step-by-step explanation:
Answer:
It is 0 i did -3 and got a 0% on the answer so yeah have a good one
In other words its 0
Which of the following is the function for the graph? Choices/graph below.
Answers
set x=0 to get insights.
at x=0 to the functions are
-2(0-2)²+3 = -5
-2(0+2)²-3 = -11
-2(0-2)²+3 = -5
-2(0-2)²-3 = -11
weird, for some reason option 1 and 3 seem to be the same, maybe that's an accident by the author.
maybe a + was intended inside the parentheses, dunno.
option 1 and 3 seem fine, although I think there is an error in the options. they shouldn't be exactly the same
Use elimination to solve for x and y:
- 2x - y = 9
2x - 9y = 1
Answers
Answer:
x=-4, y=-1
Step-by-step explanation:
Given the following system of equations, solve the system using elimination.
\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)
(1) - Add the equations together
\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)
Notice how the x term was eliminated, hence the name for this method is "elimination."
(2) - Take the value we just found for y and plug it into either of the two equations and solve for x
\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)
(3) - Thus, the system is solved. When x=-4, y=-1.