Answer: his pay for the 4th year is $1453.16
Step-by-step explanation:
The landlord raises the rent 1.25% each year. It means that the rent is increasing in geometric progression.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = $1,400
r = 1 + 1.25/100 = 1.0125
n = 4 years
The 4th term(year), T4 is
T4 = 1400 × 1.0125^(4 - 1)
T4 = 1400 × 1.0125^3
T4 = $1453.16
Factor each
60x^4=2*2*3*5*x*x*x*x
45x^5y^5=3*3*5*x*x*x*x*x*y*y*y*y*y
75x^3y=3*5*5*x*x*x*y
common is 3*5*x*x*x=15x^3
gcf=15x^3
Answer: 4/3
In dividing by fractions, you flip the latter one over. 2/3 * 2=4/3.
