Answer: 8.5 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form) =18/100 = 0.18
t= years
A = population after t years
Replacing with the values given:
192,000 = 47,000 (1+ 0.18)^t
Solving for t:
192,000/47,000 = 1.18^t
4.08 =1.18^t
ln 4.08 = ln 1.18^t
ln 4.08 =t (ln 1.18)
ln 4.08 / ln 1.18 =t
8.5 years = t
Feel free to ask for more if needed or if you did not understand something.
Answer:
x = -9
Step-by-step explanation:
6 - 2/9x = 8
Subtract 6 from each side
6-6 - 2/9x = 8-6
-2/9 x = 2
Multiply each side by -9/2 to isolate x
-9/2 * -2/9x = 2*-9/2
x = -9
Answer:
Option 1 - 
Step-by-step explanation:
Given : The goals against average (A) for a professional hockey goalie is determined using the formula 
. In the formula, g represents the number of goals scored against the goalie and t represents the time played, in minutes.
To find : Which is an equivalent equation solved for g?
Solution :
Solve the formula in terms of g,
Multiply both side by t,
Divide both side by 60,
Therefore, option 1 is correct.
It seems that you missed the essential details for this question, but anyway, I have found the complete question. So given that angles m<A=32 and m<B=55, let us find first for the measure of angle c. So m<C= <span>180 - 32-55 = 93, so it is 93. Based on these measurements, Triangle ABC is an obtuse triangle. By definition, an obtuse triangle is a triangle in which one of its angles is obtuse or which measures more than 90 degrees. Hope this answer helps.</span><span>
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Answer:
Step-by-step explanation:
Let the numbers be x and y.
<u>The equations are:</u>
<u>Add up the equations to eliminate y and solve for x:</u>
- x - y + 2x + y = 2 + 13
- 3x = 15
- x = 15/3
- x = 5
<u>Now find the value of y:</u>
- y = x - 2
- y = 5 - 2
- y = 3
