A person deposited Rs. 80,000 in bank 'P' for 2 years at the rate of 10% annual compound interest. But after one year bank has changed the policy and decided to pay semi-annual compound interest at the same rate. What is the percentage difference between compound interests of the first year and second year? Give reason with calculation:​

compound interest in year 2 is 12.75% than compound interest in year 1. This is because semi annual compounding yield a higher compound interest

Step-by-step explanation:

compound interest = future value - present value

The formula for calculating future value:

FV = P (1 + r/m)^nm

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding  

compound value in the first year = 80,000(1.1)^1 = 88,000

compound interest = 88,000 - 80,000 = 8,000

compound interest in the second year = 88,000(1 + 0.01/2)^2 = 97,020

compound interest = 97,020 - 88,000 = 9020

Percentage change = (9020 / 8,000) - 1 = 12.75%

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.