The number of years value isn't given, we could use an hypothetical value, which can be substituted for the correct number of years given in your exercise in other to find the exact answer.
Using a t value of 10 years
Answer:
651558
Step-by-step explanation:
Given that:
Initial population, P0= 400,000
Growth rate, r = 5%
Using the relation :
P(t) = P0 * (1 + r)^t
t = number of years = 10
P(10) = 400000 * (1 + 0.05)^10
P(10) = 400000 * (1.05)^10
P(10) = 400000 * 1.628894626777
P(10) = 651557.8507
= 651558 nearest whole number.
Recall that, the t value used is hypothetical and should be replaces with te exact value given in your question.
Answer:
Option 3 - f(x)= 4x,
Step-by-step explanation:
To find : Which two functions are inverses of each other?
Solution :
Two functions are inverse if
Now, we find one by one
1) f(x)= x, g(x) = -x
Not true.
2) f(x)= 2x,
Not true.
3) f(x)= 4x,
i.e. is true.
So, These two functions are inverse of each other.
4) f(x)= -8x,
Not true.
Therefore, Option 3 is correct.
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I
The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II
Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4
Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2
From the above calculations:
x = -3/2
y = 4
Answer:
11/3 = 3 2/3 ≈ 3.66667
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs:
3x = (1/2)((9x +25) -36)
6x = 9x -11
11 = 3x . . . . . . . add 11-6x
11/3 = x
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The attached figure is drawn to scale.