Agraduate school plans to increase its enrollment capacity by developing its facilities and the programs it offers. their enrollment capacity this year was 120 graduate students. beginning next year, the school plans to triple this number every year, with a target enrollment capacity of 3,240 students. which equation represents this situation, and after how many years, t, will the graduate school be able to achieve its target enrollment capacity? a. 120(3)t = 3,240; t = 3 b. 120 + (3)t = 3,240; t = 7 c. (120 · 3)t = 3,240; t = 2 d. 120(1.3)t = 3,240; t = 27

A. 120(3)t = 3,240; t = 3

Step-by-step explanation:

We are given that enrollment capacity for first year = 120

The school plans to triple the capacity every year.

Assuming t to be the number of years, the capacity for every t year will be .

This is expressed by the equation

Substituting t =3 in the above equation to get:

3240

So the equation is true when t = 3.

Therefore, the correct answer option is A. 120(3)t = 3,240; t = 3.

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

put in or use mine

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus