Question

Occupancy rate is defined as the number of units occupied divided by the number of total units. Was the occupancy rate in a certain apartment complex greater than 45% on June 30?(1) On January 1st, the occupancy rate was 75%.(2) At the end of each month from February to June, the occupancy rate was 80% of the figure at the end of the preceding month.

Answer 1

Math

Step-by-step explanation:

Answer 2

At this declining rate we end up with a cappacity lower than 45% at the end of june.

Step-by-step explanation:

From the given statements we know that occupancy rate is decreasing at 20% each and start at 75% on January

January 75%

February 75 x 0.8

March 75% x 0.8 x 0.8 = 0.75 x 0.8^2

...

we notice each month will my January capacity multiplied by and additional 0.8 thus the rate for June will be equal to:

June 75% x 0.8^5 = 0.75 x 0.32768 = 0.24576

We should check for 45% --> 0.45

This is lower than capacity at June