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Compound Interest Calculator: Do you think winning lottery is the secret for becoming rich? No, it’s not the case Compound Interest and Patience can make you rich with time. Use our simple Compound Interest Calculator and know how much money you can grow over time.

Compound Interest Calculator has got more features like you can change the compounding intervals. By doing so, you can expect the interest earnings and compare which one can yield you more benefits. It’s simple to use and gives you Interest Value effortlessly. All you have to do is give the inputs such as Principle, Interest Rate and Time Duration, and the duration for which interest is compounded.

Get to know the procedure on how to use the Compound Interest Calculator, Basic Formula, Solved Examples, etc. You will understand the concept much better as you will get a detailed explanation.

How to find Compound Interest?

You can find the compound interest using the direct formula. Determine how much money you can have using the Compound Interest. We have given a simple formula by which you can understand the concept of compound interest much easier.

Formula to find Compound Interest is as follows

A = P(1 + r/n)nt

• A = Accrued Amount (principal + interest)
• P = Principal Amount
• I = Interest Amount
• R = Annual Nominal Interest Rate in percent
• r = Annual Nominal Interest Rate as a decimal i.e. r = R/100
• t = Time Involved in years
• n = number of compounding periods per unit t; at the END of each period

If you aren’t sure about the concept of Compound Interest check on the worked-out examples explaining everything in detail.

Example

Calculate compound interest on a principle of Rs. 10,000/-  using the compound interest formula. Rate of Interest is 3% and the principle is compounded for every year and for a time duration of 2 years?

Solution:

As per the formula of Compound Interest A = P(1 + r/n)^nt

Given P = 10,000

R = 3%

r = R/100

= 3/100

= 0.03

n= 1 year

t = 2 years

Substituting all the given values in the formula of Compund Interest we obtain the equation as such

A = 10000(1 + 0.03/1)¹⁽²⁾

= 10000(1.03)²

= 617.57

Compound Interest for the given principle 10, 000 and rate of interest of 3 %, compounded for every year and a time duration of 2 yrs is Rs. 617.57/-

How to use Compound Interest Calculator?

Go through the simple and basic guidelines on how to use the Compound Interest Calculator. Following these instructions, you can arrive at the solution i.e. compound interest effortlessly on submitting the inputs.

• Initially, provide the required inputs it asks for in the input provision such as Principle, Annual Interest Rate and Time Duration, Compounding Interval.
• You can choose the inputs from the dropdown on certain factors like Time Duration on a monthly or yearly basis, etc.
• Once, you choose the relevant inputs tap on the submit button.
• You will get the Output i.e. Compound Interest Value in no time along with step by step explanation.

FAQs on Compound Interest

1. What is meant by Compound Interest?

Compound interest (or compounding interest) is interest calculated on the initial principal, which also includes all of the accumulated interest from previous periods on a deposit or loan.

2.  How do you Calculate the Compound Interest?

You can calculate the Compound Interest easily by making use of our Compound Interest Calculator.

3. What is the formula for Compound Interest?

Formula for Compound Interest is given by A = P(1 + r/n)^nt

4. Where can I get solved examples on Compound Interest?

You can find solved examples on Compound Interest on our page.

Interest Calculator: Interest is the compensation paid by the borrower to the lender for the use of money as a percent, or an amount. Usually, Interest is Calculated on the Principle Amount. There are two different methods of accumulating Interest i.e. is Simple Interest, Compound Interest.

To help you out we have given an Online Tool to determine the interest payments and final balances on fixed principle amounts. Make use of the Interest Calculator to compute the total amount of funds after maturity. Continue reading the article to know in detail about the procedure on how to use Interest Calculator, Formula, Solved Examples.

What is Simple Interest?

Simple Interest is a quick and easy method of calculating the interest charged on a loan. You can obtain the Simple Interest by multiplying the Principle, Interest Rate and days elapse between payments.

Formula to determine Simple Interest

Formula to determine the simple interest is given below and the overall gain accumulated via the investment is as

SI = PTR/100

or

SI = PTr

R=Rate of Interest(In decimals)

r=Rate of Interest(In percent)

SI	Total Simple Interest Payable
r	Interest Rate is the Percentage at which Interest accrued over time
T	Time is the length of the period in years
P	Principle is the sum of money on which Interest is earned

If you are having any doubts about Formula explained you can look out some examples on Interest and understand how the principle, rate of interest, and time period are used in this SI Formula.

Example 1

Calculate the yearly simple interest payable for the principle sum 10000 Rs. borrowed at 6% of the interest rate for the time period of 1 year.

Solution:

Simple Interest Payable can be calculated using the formula SI = PTr

Given Principle = 10000

Time Period = 1 Year

Rate of Interest = 6%

Substitute all the values given in the basic interest formula i.e. SI = PTr

= 10000(1)(6)/100

=  600

Interest for the borrowed principle 10,000 at the rate of 6% for 1 Year is 600.

Example 2

Calculate the simple interest amount of the principle amount of Rs. 5,000, annual interest rate of 6%, and time of 18 months.

Solution: 

Simple interest(I) = P x T x R/100

Given Principle = 5,000

Time T = 18 months

to convert into years divide it by 12 i.e. T = 18/12 = 1.5 Yrs

Rate of Interest = 6%

R=6, r=6/100 =0.06

Substitute all of them in the formula i.e. I = PTr

= 5000(1.5)(0.06)

= 450

Therefore,The simple interest accumulated on a principal of 5000 at a rate of 0.06 % per year for 1.5 years is 450.

How to use Interest Calculator?

If you are having trouble with using Interest Calculator you can use the simple and easy procedure listed below. Follow the instructions carefully to understand how to use Interest Calculator. They are along the lines

• The first and foremost step is to provide the input values of Principle, Time, Rate of Interest.
• You can choose from the input time whether it is year or month.
• Choose the Rate of Interest either in decimals or Percent.
• After choosing the input values you can click on the Submit Button.
• Thereafter, you will get the concerned output i.e. Interest Value in a fraction of seconds along with a step by step explanation.

FAQs on Interest Calculator

1.  How to determine the Simple Interest easily?

You can determine the Simple Interest easily by making use of the Interest Calculator. All you need to do is enter the input values like Principle, Rate of Interest, Time, and click on the Submit Button to get interest.

2. What is the formula to calculate Simple Interest?

Formula to Calculate Simple Interest is given by SI = PTR/100 or PTr

3. Do interest rates on principle amount changes over time in SI?

No, unlike compound interest on principle amount stays stagnant.

4. What can I determine using Interest Calculator?

You can use Interest Calculator to know the Interest for a Principle Amount when given the other inputs like Time Period, Rate of Interest, etc.

What is X Percent of Y Calculator: Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. The percentage calculator, formula, example calculation (show work along with steps), real-world problems with solutions are very helpful for grade school students (K-12 education), and also for common people to learn how to find the percent of some numbers.

The percentage topic is very useful in real-life, for example, to solve problems based on discounts, markup and many more like these. Go through the further sections and get the complete details about what is X% of Y calculator and how to use and how it works in detailed steps. Make use of our free online percentage calculator tool and compute any type of your percent problems easier and faster.

What is X% of Y?

A percentage is a fraction expressed as a part of one hundred, instead of any other denominator. The word “percent”, originally “per centum”, means “by the hundred”. However, the percent is a ratio that compares a number to a hundred. We can also write these fractions in decimals. The symbol to represent the percentage is  % and it is placed after the number. For example, 50% represents 50/100, or 0.5. The result is obtained by multiplying a quantity by a percent.

Formula for X percent of Y

The formula that is given to calculate the x% of y is as follows

X% of Y = (X/100) * Y

where Y is the base.

How to Calculate X Percent of Y?

To determine X percent of a real number Y,

• First, change the percent to a fraction or decimal i.e, 1/100 or 0.01, and then multiply it by Y value.
• Here, the word ‘of’ means multiply.
• Now, convert this statement into an equation using the percentage formula: P% * X = Y.
• Else, Use the formula for X% of Y = (X/100) * Y
• Thereafter, apply the given inputs in X and Y and calculate the X percent of Y.
• Later, you will get the final output value for X% of Y.

To provide better knowledge on how to calculate x percent of y, we have taken an example and solved it in detailed steps in order to understand the concept and work behind every Math calculation. So, look at the real-world problems as an example from here and understand how to calculate the X percent of Y easily without any support.

Solved Real-world Examples to find X% of Y

Example 1: 

America has a sales tax of 19.6 percent. If we purchased a car for $25,000, how much would we pay for the car if we bought it in the USA?

Solution:

Percentage solution with steps:

Step 1: Our output value is 25000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 25000=100%.

Step 4: Similarly, x=19.6%.

Step 5: This results in a pair of simple equations:

1. 25000=100%
2. x=19.6%

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right-hand side) of both
equations have the same unit (%); we have

⇒ 25000o/x = 100%/19.6%

Step 7: Again, the reciprocal of both sides gives

⇒ x/25000 = 19.6/100

⇒ x = 4900

Therefore, 19.6% of 25,000 is 4900.

Example 2: 

There are 30 children in a class. If 20% of the children are absent, how many children are present?

Solution:

First, we need to calculate what is 20% of 30.

For that, take the formula of X percent of Y = X/ 100 * Y

Now, substitute the values in the percentage formula,

= 20 percent * 30

= (20/100) * 30

= (20*30) / 100

= 600 / 100 = 6

Therefore 20% of 30 children is 6.

Now, to determine how many children are present, do 30 – 6 = 24

Hence, children present in a class are 24. 

How to use the Percentage Calculator?

If you are looking for the steps on how the percentage calculator works and determine the X percent of Y then here are the detailed steps for you. If you follow these simple steps then you will understand completely about how to use percentage calculator and make your real-world percentage calculations in less time.

• Percentage Calculator is a free online algebra tool that needs two numbers X and Y as input values to find the X% of Y.
• So, enter values for the X percent and the base Y in the input field. Remember that X value should be a positive real number and Y value should be a real number or parameter.
• After entering the values, you need to press the ‘Calculate’ button to make the computation.
• Later, it generates the output for X% of Y in a fraction of seconds.

FAQs on What is X% of Y Calculator?

1. What is meant by Percentage?

In mathematics, a percentage is a number in the fraction of 100. The representation of percentage is “%”, or simply “pct” or “percent”.

2. What is the formula to calculate X percent of Y?

The percentage formula to determine X% of Y = (X/ 100) * Y.

3. What is 16 percent of 180?

We know that X% of Y = (X/ 100) * Y,

Substitute the value into the equation,

Then, (16/100) * 180 = (16*180) / 100 = 2880 / 100 = 28.8.

Therefore, 16 % of 180 is 28.8.

4. How to use what is X percent of Y calculator? 

All you have to do is enter the variable in both X and Y input fields and then press the Calculate button. That’s it! the output for your required inputs will be displayed on our page along with a detailed explanation in a short time.

Prime Factors of 46

Prime factors of 46 are all the prime numbers when multiplied together equals to 46. Prime factors 0f 46 are those that divide 46 exactly without leaving a remainder as per Euclidean Division.

How to find Prime Factors of 46?

The process of finding Prime Factors is called Prime Factorization of 46. In order to get the Prime factors of 46, divide the number 46 with the smallest prime numbers. Continue the process until you end up with 1.

This Prime Factorization process creates a Prime Factor Tree of 46.

46 ÷ 2 = 23
23 ÷ 23 = 1

All the numbers you used to divide above are the Prime Factors of 46. Thus, the Prime Factors of 46 are 2, 23.

FAQs on Prime Factors

1.  What is Prime Factorization Method?

The method of prime factorization is used to “break down” or express a given number as a product of prime numbers.

2. How do you find the prime factors of a number?

Divide the number given with the smallest prime numbers and continue the process until you end up with 1.

3. What are the Prime Factors of 46?

Prime Factors of 46 are 2, 23, and usually expressed as 2*23.

4. What are the Factors of 46?

Factors of 46 are the numbers that can divide 46 and leaves a remainder zero. Factors include 1, 2, 23, 46.

 

Factors of 14 are the integers that you can evenly divide 14.

How to find Factors of 14?

As we know factors of 14 are all the numbers that can exactly divide the number 14 simply divide 14 by all the numbers up to 14 to see the ones that result in zero remainders. Numbers that divide without remainder are factors and in this case below are the factors

14, 7, 2, 1 are the factors and all of them can exactly divide number 14.

Factor Pairs of 14

Factor Pairs are the combination of numbers that when multiplied together equals to 14 and they are as follows

1 × 14 = 14
2 × 7 = 14
7 × 2 = 14
14 × 1 = 14

FAQs on Factors of 14

1.  What are the Factors of 14?

Factors of 14 are the numbers that leave a remainder zero. The ones that can divide 14 exactly i.e. factors are 14, 7, 2, 1.

2. What are Factor Pairs of 14?

Factor Pairs of 14 are

1 × 14 = 14
2 × 7 = 14
7 × 2 = 14
14 × 1 = 14

3. What is meant by Factor Pairs?

Factor Pairs are numbers that when multiplied together will result in a given product.

Factor Tree Calculator is an online tool that displays the factors of a given number. This online handy calculator makes the calculations easy and faster for you. It Displays the fractions in a fraction of seconds.

What is Factor Tree?

Usually, Factors of a number are defined as the numbers which are multiplied together to find the original number. In general Factor Tree is a tool that breaks down numbers into prime numbers. Usually, numbers expressed at the end in a Factor Tree are the prime factors of a given number. For instance, factors of a number 56 are 2*2*2*7.

How to find Factor Tree of a number?

Follow the simple steps prevailing over here to get the Factor Tree and it applies to any nonprime number.

• Firstly, find 2 factors of a number.
• Just have a look at the two factors and determine if at least one of them is not prime.
• If it is not a prime number continue the process further.
• Make sure you do the process until all the numbers are prime.

Once you get the number multiples of prime numbers that is called the Factor Tree.

How to use Factor Tree Calculator?

Step 1: Enter the number in the input field.

Step 2: Click on the button and you will get the factors.

Step 3: Factors will be displayed in the output field.

Let me explain in detail about the Factor Tree by taking some examples so that it would be easy for you to understand the concept. They are as such

Example

Find the Factor Tree of 105?

Solution:

Given number is 105

105
= 3*35
5*7

If we write into multiples it would be 3*35

On splitting 35 further and writing it as multiples of prime numbers it would be 7*5

Altogether expressing the number in terms of prime factors would be 3*5*7.

Factor Tree of 105 is 3*5*7

FAQs on Factor Tree Calculator?

1.  How to find a Factor Tree of numbers?

You can find the Factor Tree of a number easily by simply giving the inputs on our calculator and you will get the output at one go.

2. Where can I get the Factor Tree Concept along with Examples?

You can get all the concepts related to Factor Tree with clear explanation using examples on our page. Get to know the concepts in a much better way using the info on our page.

3. What is meant by Factor Tree of number?

Numbers expressed as the multiplies of prime numbers is called Factor Tree.