Current location - Training Enrollment Network - Mathematics courses - Find a big math geek, such as: f = p * (1+I) to the nth power, where p is 100 and i is 2%. Find out the detailed calculation. What does 1 mean here and 1 mean mathematically?
Find a big math geek, such as: f = p * (1+I) to the nth power, where p is 100 and i is 2%. Find out the detailed calculation. What does 1 mean here and 1 mean mathematically?
This is a formula for calculating the present value of compound interest in economics.

F is the final value, P is the principal (or initial value and present value), 1 is the principal base as 1, I is the interest rate (or the average growth rate-sometimes called the average growth rate), and n is the number of hours per unit, such as year and month.

Algorithm: f = p (1+i) n f = p times (1+I) nQuestion: f =100× (1+2%) nIs your n a year or a month? What month is it now? Is 2% annual interest rate or monthly interest rate? Suppose it is the annual interest rate. Within five years, f =100× (1+2%) 5 =100×1.1041=1065438.

If 2% is monthly interest and n= 1 year is 12 months, then f =100× (1+2%)12 =100×/kloc-.

If f, p and i are known, then:

Step 1, shift, multiply, change, except: (1+I) n = f/p.

Step 2, open the n-th power 1+I = n √ (f/p) f/p to open the n-th root, which is a positive number.

Step 3, I = n √ (f/p)- 1