Raymond pays $1,000 per month in rent, and he is expecting a rent increase. His landlord agreed to a gradual increase according to the following plan:
January, 0% increase
February, 5% increase
March, 10% increase from January
April, 15% increase from January
May, 20% increase from January
June, 25% increase from January.
Let matrix A be the matrix of 6 months of rent before the increase.
A = [1000 1000 1000 1000 1000 1000]
Let matrix B be the percent increase matrix with percent entries written as equivalent decimals.
Explain how AB will yield the total rent paid from January to June. What is that total?