X+2y = 9 ---------eq.1
x-y =6 ----------- eq.2
x = 9 -2y (from eq. 1)
Now substitute the value of x in the second eq.2
9-2y-y =6
-3y = -3
y =1
So,
x +2 (1)= 9
x= 7
Answer:
25.85 years
Step-by-step explanation:
Use the formula for continuous compounding amount:
A = Pe^(r*t), where r is the interest rate as a decimal fraction, P is the initial amount, and t is the time in years.
Here we have:
A = $200e^(0.0425*t) = 3($200) (this is triple the original amount)
Solve this for t. Divide both sides by $200 and then use natural logs:
1e^(0.0425*t) = 3
Then 0.0425*t = ln 3 = 1.0986
Dividing both sides by 0.0425 will isolate t:
1.0986
t = --------------- = 25.85 years
0.0425
An angle of 90 degrees to a given line, plane or surface
Vertical angles are always equal. The vertical angles are the ones opposite each other. Therefore x would equal 40.