# How much money invested at 5% compounded continuously for 3 years will result in \$820?

## What are the 7 Laws of logarithms?

Rules of Logarithms

• Rule 1: Product Rule. …
• Rule 2: Quotient Rule. …
• Rule 3: Rule of Power. …
• Rule 4: Rule Zero. …
• Rule 5: Identity Rule. …
• Rule 6: Exponent Rule Log (Base Logarithm for Power Rule) …
• Rule 7: Exponent of the Log Rule (Basis for a Logarithmic Power Rule)

What are the rules of logarithm?

### What are the laws of logarithms give one example each?

Laws of logarithms These laws can be applied on any basis, but when calculating, the same basis is used. Example: log 2 5 log 2 4 = log 2 (5 × 4) = log 2 20. log 10 6 log 10 3 = log 10 (6 x 3) = log 10 18.

#### What is logarithm example?

logarithm, the exponent or the power for which you must base to give a particular number. Expressed mathematically, x is the logarithm of n with base b if bx = n, in which case we write x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 for base 2, or 3 = log2 8.

### How many types of logarithms are there?

There are two types of logarithms: Common logarithm: These are known as the base logarithm 10. It is represented as log10. Natural logarithm: These are known as the base e logarithm.

#### What is the most common logarithm?

The most frequently used basis for logarithms is e. E logarithmic bases are important in calculus and some scientific applications; called natural logarithms.

#### What are the three types of logarithm?

In a complex analysis I came across three types of logarithms namely ln, log and Log.

## What is the value of log6 1?

The basis of logarithm 6 of 1 is 0.

What is the log6 1 36 solution? Examples of Algebra The basis of logarithm 6 of 136 is âˆ’2.

### What is the value of log6 6?

The basis of logarithm 6 of 6 is 1.

#### What is the value of log 4 base 3?

So, for example, (log 4 base 3) can be calculated using (ln 4) / (ln 3) (about 1.262). To check this, calculate only 3 ^ 1.262 and see that it is 4.

### What is the value of log8 1?

The basis of logarithm 8 of 1 is 0.

#### What is the value of log 5 base 1?

The basis of the logarithm 5 of 1 is 0.

#### What is the value of log 3 base 1?

The base logarithm 3 of 1 is 0.

### What log6 1?

Examples of Algebra The basis of the logarithm 6 of 1 is 0.

#### What log5 1?

The basis of the logarithm 5 of 1 is 0.

#### What log4 1?

The basis of the logarithm 4 of 1 is 0.

## How long will it take for an investment of 1000 to double?

A = P (1 + r / 100) ^ n, where A = amount, P = Principal r = Interest rate in% per period and n = Number of periods. It would take 277.60 months or 23.13 years for the Principal to double.

How long will it take for a 1000 investment to double in value if you earn 5% compound per week? Remember above we found that \$ 1000 compounded at 5% once a year gives us \$ 1050 and weekly compounded at 5% gives us \$ 1051. Can you see the error? That is 13.87 years.

### How long does it take \$1000 to double in value if you have a 6% return?

For example, if the interest rate you earn is 6%, it will take 12 years (72 divided by 6) for your money to double. If you want your money to double every 8 years, you need to earn an interest rate of 9% (72 divided by 8).

#### How long does it take to double \$1000 at 12%?

The more conservatively invested your money is, the longer it will take to double your money, and the more aggressively invested, the shorter the time it will take. If you earn an average of 12%, this rule calculates that your money will double in 72/12 = six years.

#### How long does it take \$1000 to double in value if you have a 3% return?

If your money is in a savings account that earns 3% a year, it will take 24 years to double your money (72/3 = 24).

### How long will it take \$1000 to double if it is invested at an annual interest rate of 5.5% compounded continuously?

151.57 months = 12.63 years.

#### How long will it take for an investment of 1000 to double?

A = P (1 r / 100) ^ n, where A = amount, P = Principal r = Interest rate in% per period and n = Number of periods. It would take 277.60 months or 23.13 years for the Principal to double.

#### How long it will take for an investment of 1000 dollars to double in value if the interest rate is 8 percent per year compounded continuously?

The result is the approximate number of years it will take for your money to double. For example, if an investment scheme promises a compound annual rate of return of 8%, it will take about nine years (72/8 = 9) to double the money invested.

### How long would it take for PHP 1000.00 to double in value if the interest rate is 5 %?

To calculate the number of years it takes to double your investment, divide by 72 the interest rate. In our case, the interest rate is 5% so the time required to double € 1000 will be 14.4 years.

#### How long will it take for an investment of 1000 to double?

A = P (1 r / 100) ^ n, where A = amount, P = Principal r = Interest rate in% per period and n = Number of periods. It would take 277.60 months or 23.13 years for the Principal to double.

#### How long will it take for \$10000 to double at 8% compounded interest?

For example, if an investment scheme promises a compound annual rate of return of 8%, it will take about nine years (72/8 = 9) to double the money invested.

## How long will it take money to if it is invested at compounded?

The rule says that to find the number of years it takes to double your money at a given interest rate, you only divide the interest rate by 72. For example, if you want to know how much it will take to double your money by eight percent. interest, divide 8 by 72 and get 9 years.

How long will it take to double my money if I invest 6% compound a month? The annual percentage yield on 6% compound per month would be 6.168%. The use of 6.168% in the doubling time formula returns the same result of 11.58 years.

### How long will it take for money to double if it is invested at 7% compounded semi annually?

It takes 9.9 years for money to double if it is invested at a continuous interest rate of 7%. t = ln (2) / r where r was 0.07 in that solution.

#### How long will it take money to quadruple if it is invested at 7% compounded daily?

1 Expert answer Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested below the 7% compound interest rate per day.

#### How long will it take money to double if it is invested at 7% compounded daily?

So it would take about 9.9 years. Note that, with daily mixing, you can get a little better than the “72 rule” suggests (72/7 = 10.285714 … years.)

### How long does it take for money to compound?

The Rule of 72 is an easy compound interest calculation to quickly determine how long it will take you to double your money based on the interest rate. Simply divide 72 by the interest rate to determine the outcome. For example, at an interest rate of 2 percent, it would take 36 years to double your money.

#### How do I compound my money?

How compost works. Simple interest – If you start with \$ 100 and earn 5% interest per year for two years without reinvesting the interest you earn, at the end of the two years you get \$ 110 – the \$ 100 you started with, plus \$ 5 in interest for each of the two years you invest your money.

#### What is the Rule of 72 in economics?

Rule 72 is a calculation that estimates the number of years it takes to double your money at a specific rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double.

### How long will it take money to double if it is invested at 10% compounded monthly?

In reality, a 10% investment will take 7.3 years to double (1.107.3 = 2) .The Rule of 72 is reasonably accurate for low rates of return. The table below compares the numbers given by the Rule of 72 and the current Rule a number of years that requires an investment to double.

#### How long will it take to double your money at 10% per year?

ï »¿With 10%, you can double your initial investment every seven years (72 divided by 10). In a less risky investment such as bonds, which had an average return of around 5% to 6% over the same period of time, you can expect to double your money in about 12 years (72 divided by 6 ).

#### How long will it take money to double if it is invested at 9% compounded monthly?

Well, since the interest rate is 9% but compounded monthly, we will divide it by 12, but keep in mind now the answer will be in MONTHS. So, about 92.77 months for the amount to double.

## How long will it take an investment to triple?

The answer to the question is 14.3 years.

What is the rule of 115? Rule 115 is used to determine how long it will take for an investment to triple in value. It follows the same process as the Rule of 72. If an investment earns 7% a year, it will take 115/7 = 16.4 years for the investment to triple in value.

### How long will it take for an investment to triple if it is compounded continuously at 6%?

so for the next year, it will take 18 years for investment to triple, if it is continuously compounded at 6% per year.

#### How long would it take a principal to triple with an interest rate of 8% compounded continuously?

Answer: About 13.5 years to replicate. Note that doubling or tripling the time is independent of the principal. In the previous problem, note that the principal was not given and that the variable P was canceled. Use the continuously compounded interest formula to solve the following.

#### How long does it take for an investment to triple if it is invested at 6% compounded monthly?

It will take about 18 years 10 months.

### How long will it take money to triple if invested at 9?

The answer is 19 years old.

#### How long will it take money to triple itself if invested at 5% simple interest?

The sum of money triples itself. âˆ´ The number of years by which a sum will triple itself by 5% p.a is 40 years.

#### How long will it take you to triple your money if you invest it at a rate of 6% compounded annually?

It will take about 18 years 10 months.

### How many whole years will it take to double a \$100 investment and turn it into \$200 if the interest rate is compounded annually and you earn 6% per year?

Rule of 72 Simply divide the number 72 by the annual rate of return to determine how many years it will take to double. For example, \$ 100 with a fixed rate of return of 8% will take about nine (72/8) years to grow to \$ 200.

#### How many years will it take for an investment to double in value if it earns 5% compounded annually?

Alternatively, you can calculate the interest rate you need to double your investment over a period of time. For example, if you wanted to double your investment in 5 years, divide 72 by 5 to learn that you need to earn 14.4% interest per year on your investment for 5 years: 14.4 × 5 = 72.

#### How many years will it take for an investment to double if the interest rate is 8% per year compounded annually?

For example, if an investment scheme promises a compound annual rate of return of 8%, it will take about nine years (72/8 = 9) to double the money invested.

## How long will it take money to triple itself if invested at 5% simple interest?

The sum of money triples itself. âˆ´ The number of years by which a sum will triple itself by 5% p.a is 40 years.

How long will it take for money to triple if they are invested with 5% compounds per day 6% compounds continuously? It will take about 18 years 10 months.

### How long will it take any sum to triple itself at 5% simple interest rate?

Detailed Solution. Granted: The sum of money triples itself. âˆ´ The number of years by which a sum will triple itself by 5% p.a is 40 years.

#### How long in years will it take a sum of money to triple if it earns 6% simple interest?

6% of the principal amount is accumulated each year. To triple the principle you need to earn 200% interest. 200% divided by 6% per year = 33 1/3 years. It takes 33 years and 4 months for the money to triple.

#### In what time will money Triple itself if the rate of simple interest is 10%?

Thus, 11.53 years.