Answer:
Step-by-step explanation:Worked out on paper shown below
Also I recommended a online app called (it has wierd name but it’s helpful for algebra) mathpapa
Also I do math in pen so the last answer is messed up it’s 4c^2d and then the rest of the parentheses.Sorry for that.
Answer:
Ok. What is the question?
Step-by-step explanation:
I think it would be D hope it helps!!!
Answer:
<em>11 years</em>
Step-by-step explanation:
This is a case of exponential decay.
Let n = number of years; p = population after n years; a = initial population; r = rate of decay
p = a(1 - r)^n
Now we substitute the numbers we know leaving n as the only unknown.
100 = 250(1 - 0.08)^n
100 = 250(0.92)^n
Divide both sides by 250.
0.4 = 0.92^n
Take the log base ten of each side.
log 0.4 = log 0.92^n
Use log rule: log a^n = n * log a
log 0.4 = n * log 0.92
Divide both sides by log 0.92

n = 10.989
Answer: 11 years
-3x + 2y + z = -6
(3)x + 3y + 2z = 5(3) We want to get rid of any variable within 2 equations. The easiest one would be by multiplying both sides of eq#2 by 3 and add it to eq#1.
-3x+2y+z=-6
3x+9y+6z=15
Add them together to get 11y+7z=9
(-4)x+3y+2z=5(-4) Now,multiply the original eq#2 by -4 to cancel out x in the last equation
-4x-12y-8z=-20
4x + 4y + 3z = 13
add them together to get -8y-5z=-7
Now multiply the eq 11y+7z=9 by 5 and the equation -8y-5z=-7 by 7 to cancel out the z variable when we add them together.
Once we multiply them, we get
-56y-35z=-49
55y+35z=45
add them together to get -y=-4 and we know y=4
substitute y into any equation here that has y and any other 1 variable like -8y-5z=-7 and get z=-5
Finally, we know y=4 and z=-5, we can substitue that into any of the original eqs like -3x + 2y + z = -6 and we get x=-3
To check, just substitute these values into any of the equations above