Your cousin renews his apartment lease and pays a new monthly rent. His new rent is calculated by applying a discount of $50 to his original rent and then applying a 10% increase to the discounted amount. What was your cousin's original monthly rent when his new rent is 5% greater? Your cousin's original rent was $

Step-by-step explanation:

Let the rent be x

Discounted rent

Increase applied

Final rent:

We know this is equal to x + 5% = 1.05x, comparing now

Step-by-step explanation:

Let original rent be x

Discount of $50

10% increase

His new rent is 5% greater than his original rent

Solve for x

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value