How do you calculate the percentage increase in value per year of something $350 to $800 in 7 years?

How do you calculate the percentage increase in value per year of something $350 to $800 in 7 years?How do you calculate the percentage increase in value per year of something $350 to $800 in 7 years?
apolitical and hayharbor avoided the compounding issue, and ws's formula is for an annuity where you ADD another 350 each year. subwoofer has it right but gives you an old fashioned lesson in logarithms. but it takes only 2 steps of algebra to get a calculator-ready equation.



350*r^7=800

r^7=800/350

r=(800/350)^(1/7)



and even a $12 calculator, say a TI-30, will give you



r=1.125353197; which makes the annual percent of increase 12.54%
Be sure you realize that the increase is not $800, but $450. The formula for percent of increase is

p/100=(amount of increase)/(original amount)



So p/100 = 450/350 = 128 4/7%



Divide this by 7 to get the percentage increase per year, assuming it was not compounded.How do you calculate the percentage increase in value per year of something $350 to $800 in 7 years?
the first year= 350*P

the second year=(350*p)*p

total= 350(p+p^2+p^3+...+p^7)=800

i.e. Sum of P^n, n from 1 to 7 = 800/350

and this will yeild a polynomial of 7 degree .To sove the equation u will need numercal methods.
If you have access to MS Excel, write the following formula in the cell



=rate(6,,-350,800)



The answer is 13%. Its rate(number of years,blank,%26lt;- sign%26gt; start number, end number). This result is a compound rate.How do you calculate the percentage increase in value per year of something $350 to $800 in 7 years?
The simplest way to answer the question as you worded it is to take the ratio of 800/350 = increase in value over 7 yrs. Multiply this result by 100 to convert to percent. This is the percent increase in value. Divide this by 7 and you have the increase per year. This works for an increase that is not compounded (like rise in value of stock or house) but not for something like savings account where the interest is compounded.
Let X = the percent increase expressed as a decimal, say 1.10 for a 10% increase in a year.

350(X**7) = 800 (where ** indicates the power X is raised to)

X**7 = 800/350 = 2.285714

Take logarithm of both sides of equation.

Using base 10 (common logs)

Log[X**7] = Log[2.285714]

7[LogX] = 0.359022

LogX = 0.359022/7 = 0.0512888

Then take anti-log (ie, X = 10**0.0512888)

X = 1.12535

Or the percent increase in value is about 12.54% per year.

You can check it by 350 * 1.1254 = 393.89

Then 402.5 * 1.1254 = 443.2838

Keep repeating it until you have multiplied by 1.1254 for 7 times and result is 800.23.

Use whatever degree of precision you desire.

A "convenient" way to check your method is to say the increase per year is 10% and do it for 3 years. Then the value is 133.1. Try that one which is easy to work out.
u go 800-350=450 then u divide 450 by 7 because there is 7 years 450 divided by 7 = 64.29 then you find wat percent of 350 is 64.29 the answer is somewhere between 18% and 19% ... I think