How much is the monthly amortization on an automobile loan of ₱ 900,000 to be amortized over a 5-year period at a rate 9.5% compounded monthly?

Answers

Answer 1

The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68

How to find the amortization ?

The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.

First, find the period in months:

= 5 x 12 months a year

= 60 months

The interest in months :

= 9 . 5 % / 12 months per year

= 9.5 / 12 %

The monthly amortization is:

= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)

= 900, 000 / 47.614827336156

= ₱ 18, 901.68

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Related Questions

Ayuda porfa doy corona

Answers

3/4 > 1/5
6/9 > 2/5
6/7 > 3/10
2/11 < 4/9

Answer:

3/4 > 1/5

6/9 > 2/5

6/7 > 3/10

2/11 < 4/9

Step-by-step explanation:

Manera facil de comparar fracciones:.

3/4    1/5

Multiplica el denominador (numero abajo) de cada fraccion por el numerador de la otra fraccion y escribe el producto arriba del numerador.

El numero mas grande esta arriba de la fraccion mas grande.

5 x 3 = 15 arriba  de 3/5

4 x 1 = 4 arriba de 1/5

Como 15 > 4, 3/4 > 1/5

30      18

6/9    2/5

6/9 > 2/5

 60     21

6/7    3/10

6/7 > 3/10

18       44

2/11   4/9

2/11 < 4/9

What is the greatest common factor for 27 and 51

Answers

Answer:

27:-3×9

51:-3×17

In 27 and 51 the common one is 3 and hence it is the greatest common factor.✓✓

if you want smallest or lowest common factor then you have to take the common 3 as one and multiply like this:-3×9×17=459 is the Lowest common factor.

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Solve for x and show your steps. Is the solution extraneous? Check your work to show how you extraneous or not.
1 1x + 5 = 7

Answers

For the given issue, x has a value of 4. The offered solution is the solution extraneous .

What does the mathematical concept of superfluous mean?

When we solve equations, we often obtain values that aren't actually the answer to the equation.

What makes an equation unnecessary?

A root of a transformed equation that isn't a root of the previous iteration because it was left out of the original equation's domain is known as a extraneous solution.

According to the given information:

√(11x + 5) = 7

(11x + 5) = 7²

11x + 5 = 49

11x = 49 - 5

11x = 44

x = 4

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Pls help me I beg u I need help with the red ones

Answers

Answer:

  see below

Step-by-step explanation:

You want the ingredient quantities for several different multiples of the basic recipe.

Table Values

To fill the table, consider what the column heading is as a multiple of the recipe for 12 people. Use that multiplier for the rest of the numbers in the column.

  [tex]\begin{array}{ccccc}\text{12 people}&\times2&\times3&\times\dfrac{1}{3}&\times\dfrac{1}{2\vphantom{g_g}}\\\cline{1-5}1\text{ cup}&2&3&\dfrac{1\vphantom{b^b}}{3\vphantom{g_g}}&\dfrac{1}{2}\\3\text{ cups}&6&9&1&1\dfrac{1}{2}\\2\text{ cups}&4&6&\dfrac{2}{3\vphantom{_g}}&1\\\dfrac{1}{2}\text{ cup}&1&1\dfrac{1}{2}&\dfrac{1}{6}&\dfrac{1\vphantom{^b}}{4\vphantom{_g}}\\1\dfrac{\vphantom{^b}1}{3}&2\dfrac{2}{3}&4&\dfrac{4}{9}&\dfrac{2}{3}\end{array}[/tex]

A 969 acre wildlife preserve has 19 cheetahs. About how many acres does each cheetah have to itself, if each cheetah roams the same number of acres?

Answers

By taking a quotient, we will see that each cheetah has around 51 acres for itself.

About how many acres does each cheetah have to itself?

If we assume that the cheetahs are evenly distributed along the whole area, then the number of acres that each cheetah has to itself is equal to the quotient between the total area, and the total number of cheetahs.

There are 969 acres and 19 cheetahs, then the quotient is:

969/19 = 51

That is the number of acres that each cheetah has for itself.

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What is the vertex for the function g(x)?

Answers

Answer:

look below!

Step-by-step explanation:

To get the vertex for an equation your best bet is to convert the form into vertex form,which is y=a(x−h)+k . In vertex form (h,k) is the vertex

The vertex of the function is (h,k) yer jus

The recipe Troy is using calls for 1 cup of cocoa. Troy added another
cup. What was the percent of change?

Answers

The percent of change can be calculated by taking the difference between the new value and the original value, divided by the original value, and then multiplying by 100 to express the result as a percentage.

In this case, the original value is 1 cup of cocoa and the new value is 2 cups of cocoa (since Troy added another cup). The difference between the two values is 1 cup.

So the percent of change would be:

(1 / 1) * 100 = 100%.

This means that the quantity of cocoa increased by 100% by adding 1 cup cocoa.

is a measure of behaviors by producers and consumers in response to changes in price.

Answers

Answer: The statement you've provided describes the economic concept of elasticity. Elasticity is a measure of how responsive the quantity demanded or supplied of a good or service is to a change in its price. It measures the responsiveness of the consumers' and producers' behaviors to changes in price, in other words, how sensitive the consumers or producers are to changes in the good or service prices.

There are different types of elasticity, such as price elasticity of demand and price elasticity of supply. Price elasticity of demand measures how much the quantity demanded of a good changes in response to a change in its price. If a good has a high price elasticity of demand, then a small change in its price will result in a large change in the quantity demanded of the good. On the other hand, price elasticity of supply measures how much the quantity supplied of a good changes in response to a change in its price. A good with a high price elasticity of supply will see a large increase in the quantity supplied in response to a small price increase.

Elasticity is a very important concept in economics because it helps to understand how consumers and producers will react to changes in prices and how it would affect the overall economy.

Step-by-step explanation:

Three people are sitting on a bus. Julian is seated 4 meters directly behind Elena and 3 meters directly left of Isabella. How far is Elena from Isabella?

Answers

Answer:

sq root of 21=7

Step-by-step explanation:

we need to use Pythagoras theorem

so distance(isa-jul)^2 +distance(ele-jul)^2= distance(isa-ele)^2

now just do the square root and there you go.

. Describe the transformation that changes AABC to AA'B'C'.​

Answers

Analysing the given figures of the triangles ABC and A'B'C' , the required transformation for changing the traingle ABC to A'B'C' is the translation.

How can a translation transformation be represented in a 2D space?

In a two-dimensional space, a translation transformation can be represented by a matrix of the form [1 0 Tx], [0 1 Ty], where Tx and Ty are the horizontal and vertical translation values, respectively. The matrix shows the movement of an object in the x and y directions, with Tx representing the horizontal shift and Ty representing the vertical shift.

What are the effects of a translation transformation on an object?

A translation transformation moves an object from one position to another without changing its size or orientation. The shape and size of the object remain the same, but its position changes. The object is moved along a specific direction by a certain distance, and the position of the object within a coordinate system is changed. The effect of a translation can be visualized as sliding an object along a surface, while keeping its orientation and size unchanged.

As we can see from the given graph that the traingle ABC has moved straight downward without any changes in the orientation and the size of the traingle while being transformed to traingle A'B'C', Hence the transformation is translation transformation.

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Parallel, intersecting, and perpendicular

Answers

The conditions of the line to be intersecting, parallel, and coincident are explained below.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The types of lines are as follows:

If the slope of the lines is different, then the lines are intersecting lines.If the slope of the lines is the same but the y-intercept of the lines is different, then the lines are parallel lines.If the slope and y-intercept of the lines are the same, then the lines are coincident lines.

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Find the missing angle. Find x.

Answers

20 because opposite angles are equal.

Find the volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant

Answers

The volume of the given solid. Bounded by the cylinder y^2+z^2=4 and the planes x=2y, x=0, z=0 in the first octant is 16/3 unit cute

V = ∫ dV

= ∫0→2 ∫ 0→π/2 ∫ 0→ 2·r·sin(φ) [ r ] dzdφdr

Factorize to have

= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr

= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr

= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr

= ∫0→2 [ 2·r² ] dr

= (2/3)·2³ - (2/3)·0³

Conclusively, this implies that the volume is = 16/3

In conclusion, the volume of the given solid is 16/3. cubic units

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shown below. Which of the triangle congruence theorems could be used to prove the triangles congruent without establishing any additional information? FA 20 20 in 14 m A SSA B SSS CHL D SAS 14 in​

Answers

The right triangles are congruent by HL theorem.

What are congruent triangles?

The triangles having congruent corresponding parts are called congruent triangles.

Given are two right triangles, with equal hypotenuse and one of the bases.

The question is by which theorem do they are congruent,

HL theorem :-

The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Since, we know that, when two right triangles have congruent hypotenuse and one of their legs are also congruent, then both are congruent by HL theorem of congruence.

Here, both the right triangles are following the condition of the HL theorem.

Hence, the correct option is HL.

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n x (5 + 3) = (6 x 5) + (6 x 3) write the missing number.

Answers

Answer:

6 is the missing number

Step-by-step explanation:

Solve what is inside of the parenthesis, then evaluate.

N x (8) = (30) + (18)

8N = 48

Solve for N.

N = 48/8

N = 6

(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0

Answers

Answer:

(2m + 1) * x ^ 2 - (2m + 5) * x + (2m + 1) = 0

2mx^2+x^2-2mx+5x+2m+1=0

3mx^2+5x+1=0

That's as far as you can get simplifying it.

Step-by-step explanation:

2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?​

Answers

Answer:1 roll of ribbon left

Step-by-step explanation:

PLEASE HELP
A fly makes a bee-line from one corner of Mrs. Tomasi's room
to the opposite corner. The room is 30x 32 feet and 9 feet tall.
What angle is the angle of elevation of the flight path if he flies
straight there?

Answers

The angle of elevation of the fly's flight path is approximately 57.74 degrees.

What is hypotenuse?

In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.

What is Pythagorean theorem?

The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.

Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.

Using pythagorean theorem:

$c^2 = a^2 + b^2$

$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$

Now we can use the tangent function:

$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$

Now we can find the angle, theta, by using the inverse tangent function:

$\theta = \tan^{-1}(\frac{32}{30})$

The angle of elevation of the fly's flight path is approximately 57.74 degrees.

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figure A is reduced of figure B.
a). what is the scale factor?
b). if A has area 15cm2. find the area of B.

Answers

Part A

Answer: 3/5

Reason:

Divide the side lengths of B over A to get B/A = 3/5. The order is important. The fraction 3/5 is smaller than 1 to indicate a size reduction. There are no units involved with the scale factor.

=========================================

Part B

Answer: 5.4 square cm

Reason:

The linear scale factor is 3/5. The area scale factor is (3/5)^2 = 9/25. It means if figure A had area 25, then figure B would have area 9.

Let's use that idea to set up the following:

(area of figure B)/(area of figure A) = 9/25

B/A = 9/25

x/15 = 9/25

25x = 15*9

25x = 135

x = 135/25

x = 5.4 represents the area of figure B

Eastern Aviation Equipment pays Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month. Assume Donald's sales were $90,800 for last month. Calculate the following amounts:
1. Amount of Commission:
2. Gross Pay: ​

Answers

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

What is an equation?

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

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sasha needs 3/4 cup of flour to make a batch of muffins and 1 2/3 cups of flour to make loaf of bread. How many cups of flour does sasha need to make both a batch of muffins and a loaf of bread

Answers

Using the addition operation, the number of cups of flour Sasha needs to make both a batch of muffins and a loaf of bread is 2⁵/₁₂ cups.

How is the number or quantity determined?

We can use the addition operation to determine the quantity of flour that Sasha needs.

We add the cups of flour needed for both items to determine the total quantity.

The quantity of flour for making a batch of muffins = 3/4 cups

The quantity of flour for making a loaf of bread = 1²/₃ cups

The total quantity of flour needed for making a batch of muffins and a loaf of bread = 2⁵/₁₂ cups (³/₄ + 1²/₃)

(³/₄ + 1²/₃)

= ³/₄ + ⁵/₃

= (9 + 20)/12

= 29/12

= 2⁵/₁₂

Thus, to make a batch of muffins and a loaf of bread, Sasha needs 2⁵/₁₂ cups of flour.

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A parking lot contains only cars and motor bikes. If there are 18 vehicles and 50 tires in the parking lot, how many cars and bikes are there?

Answers

Answer:

7 cars

11 bikes

Step-by-step explanation:

18 cars would have 72 tires. This is 22 more tires than necessary. If we add a bike, we lose four tires (from the car) and add two (from the bike). This means we lose two tires. 22/2 is 11 so it would be 11 bikes and 7 cars.

11 bikes = 22 tires

7 cars = 28 tires

22+28=50 tires

Layla gives
120 scarves to Shop A to sell
152 scarves to Shop B to sell.
Shop A sold 15% of its 120 scarves.
Shop B sold an eighth of its 152 scarves.

(b) Which shop sells the most scarves?
You must show your working.

Answers

Answer:

Shop B

Step-by-step explanation:

First, find the number of scarves that Shop A sold: 15% of 120 scarves is 15/100 * 120 scarves = 18 scarves.

Then, find the number of scarves that Shop B sold: an eighth of 152 scarves is 152/8 = 152/8 = 19 scarves.

Since 18 scarves is less than 19 scarves, Shop B sold more scarves.

40mph in feet per secend

Answers

Answer:

58.8 feet per second

CONVERTING MPH TO FPS

If you are moving at the rate of 40MPH, how many feet do you travel in a second? At 40 miles per hour, you are traveling 58.8 feet per second. To convert miles per hour to feet per second, multiply the miles per hour figure by 1.47. There are 5280 Feet in a mile and 3600 Seconds in an hour.

3 x (5 + 1) = (3 x 5) + (3x1)
What is the real property

Answers

The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property

How to determine the property

From the question, we have the following parameters that can be used in our computation:

3 x (5 + 1) = (3 x 5) + (3x1)

The distributive property of algebra states that

x * (a + b) = x * a + x * b

This means that

x = 3

a = 5 and b = 1

By comparison, we can conclude that the property is the distributive property

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Use the drawing tools to form the correct answer on the graph.
Plot function g on the graph.

Answers

On solving the provided question, we cans ay that - in given inequality equation to -7 < x < -2; -2 < x < 3

What is inequality?

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

-7 < x < -2

-2 < x < 3

and 3 > x > 8

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Can someone help? I answered it, but I want second opinions.

Answers

Tim worked for a total of 7 and half hours on Monday and earned $56.25 gross pay.

What is gross pay and net pay?

Prior to payroll deductions, earned wages are referred to as gross pay. Employers utilize this amount—$60,000 per year or $25 per hour—when talking to employees about pay. Additionally, the federal and state income tax brackets sometimes refer to gross salary.

The amount of pay that employees get after payroll deductions varies; some may be optional, while others may be required.

Given, On Monday of his time card Tim clocked in at 8:15 am and clocked out at 4:15 pm.

So, The total number of hours she worked is 8 hours, 8:15 to 12:15 is 4 hours, and another four hours.

Also given the time he took for lunch is half an hour.

Therefore, The total hour he worked is 7:30 hours.

He earns $7.5 per hour so his gross pay for Monday is $(7.5×7.5).

= $56.25.

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What is the probability of tossing a coin and getting heads three times in a row?

What is the chance that the next toss will be heads? What is the chance that the next toss will be tails?

Answers

The probability of tossing 3 heads in a row is P = 0.125, and after that, because the events are independent, the probability of getting heads (or tails) still is p = 0.5

How to find the probability?

Assuming that we have a fair coin, we assume that both outcomes have the same probability, so:

P(tails) = 0.5

P(heads) = 0.5

Then the probability of getting heads 3 times in a row, is the product of the probability of getting heads 3 times, this will be:

P(3 heads) = 0.5*0.5*0.5

P(3 heads) = 0.5^3

P(3 heads) =  0.125

Now, after this point, what is the probability of getting heads or tails?

Remember that each toss of the coin is independent of the previous one, so the probability of getting tails still is 0,5, and the same for the probability of getting heads.

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please help!!! HURRY!!

Answers

please help!!! HURRY!!

Part A
A function f(x)=^3√x is transformed into the function g (x) = 2^3√x-4+5. Name and explain in
complete sentences the transformations that occurred to the parent cube root function.
Part B
How is the general shape of a cube root function different from the shape of a square root function? Use
complete sentences in your response.

Answers

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

Here, given that,

we have to say that, How is the general shape of a cube root function different from the shape of a square root function.

Now, we get,

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

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What was Mendel's hypothesis? Read the following excerpt from Demosthenes' speech *The Third Philippic." Then answer the question that follows.It is a strange thing, perhaps, that I am about to say, but it is true. The worst feature in the past is that in which lies our besthope for the future. And what is this? It is that you are in your present plight because you do not do any part of your duty,small or great; for of course, if you were doing all that you should do, and were still in this evil case, you could not even hopefor any improvement. As it is, Philip has conquered your indolence and your indifference; but he has not conquered Athens.You have not been vanquished, you have never even stirred.Which choice best represents the central idea of this excerpt?Athens is too busy preparing to fight to get any governing done.Athenians have no hope for the future.The problems the people of Athens are having can be blamed on their lack of action.Phillip hasn't conquered Athens yet, so don't worry about anything.O What is a haiku dictionary called? How do you find the parent function of a line? Explain the reason why you tested electrical conductivity with a solution containing both methanol and water. The Odyssey - Elpenor, the rituals that Odysseus performs on the island show that the ancient Greeks respected and honoredtheir cows.the dead.the sea.their traditions. Who would southern colonists have seen as the best candidate for serving us as the town's judge? A) a tailor B) a wealthy planter C) a newspaper printer What is the moral of the story the two sisters? Pls help question 9,10 and 11. And can u explain or show how u make the equation ? If f(x) = 2x4 - 3x + 3, then what is the remainder when f(x) is divided by x - 1? Guidelines for maintaining a more stress-free standing position behind the chair would include which of the following Find the radius of a circle that has a sector area of 165.6 cm2 and an angle measure of 129*. Round your answer to the nearest tenth. The nurse is visiting a client who was released from inpatient rehabilitation 6 weeks ago after a 5-month recovery from a motor vehicle accident that left the client immobile. As the nurse enters the home, the client braces hands on the arms of a chair to rise and uses crutches to walk across the room. What is the best response by the nurse How do you plot the point 3? How do you find the value of x in a two step equation? Here is a piece of cake each piece of cake has the same number of candles how old is rongopai What does the right to pursuit of happiness mean? What did Washington think was the triumph of our enemies? What are the elements of ownership? What type of energy is a ball rolling down a ramp?