30+1.95x=7.95x
so, 6x=30
x=5
30 = 80*t
t = 30/80 = 3/8 hr
3/8 hr * 60 min/hr = 180/8 = 22.5 min
Answer:
The monthly growth rate is 3.5%.
Step-by-step explanation:
The exponential growth function is given as follows:

Here,
<em>y</em> = final value
<em>a</em> = initial value
<em>r</em> = growth rate
<em>x</em> = time taken
The provided expression for the monthly growth of membership in the new drama club at a school is:

Comparing this function with the exponential growth function:

Then value of <em>r</em> is 0.035 or 3.5%.
Thus, the monthly growth rate is 3.5%.
<span>To show that Circle 1 and Circle 2 are similar the Translation </span>and Dilation <span> should be applied.
</span><span>Transformation rule (2-(-4),(1,-5) ) =(6,-4)and then dilate it using a scale factor of (6/2=3).
</span>
Transformation rule (6,-4)and then dilate it using a scale factor of (3).
Step-by-step explanation:
the side on the left of 155 is 180-155 which is 25
the one on top of 120 is 180-120 which is 60 so the one on the right of x is 180-(25+60) which is 95
now the value of x is 180-95 which is 85.
in the second one x=180-100 because the angle on the bottom of x is corresponding to the one that's equal to 100, so x=180-100 which is 80
for the first one x=85
the second one x=80