K = ln(ending amt/bgng amount)/6 years
k = ln(99,000,000/94,000,000) / 6 years
k = ln(
<span>
<span>
<span>
1.0531914894
</span>
</span>
</span>
) / 6 years
k =
<span>
<span>
<span>
0.0518250679
</span>
</span>
</span>
/ 6
k =
<span>
<span>
<span>
0.0086375113</span></span></span>
Final population = bgng*e^k*years
Where "e" is the mathematical constant 2.718281828
Final population = 94,000,000*e^<span>0.0086375113*12</span>
Final population = 94,000,000*e^<span><span><span>0.1036501356
</span>
</span>
</span>
Final population = 94,000,000*
<span>
<span>
<span>
1.1092123132
</span>
</span>
</span>
<span><span>
</span>
</span>
Final population =
<span>
<span>
<span>
104,265,957
</span>
</span>
</span>
Answer:
(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...
Step-by-step explanation:
Simplify the following:
(sqrt(14))/(sqrt(18))
Hint: | Simplify radicals.
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
(sqrt(14))/(3 sqrt(2))
Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).
Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):
(sqrt(14) sqrt(2))/(3×2)
Hint: | Multiply 3 and 2 together.
3×2 = 6:
(sqrt(14) sqrt(2))/6
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).
sqrt(14) sqrt(2) = sqrt(14×2):
(sqrt(14×2))/6
Hint: | Multiply 14 and 2 together.
14×2 = 28:
(sqrt(28))/6
Hint: | Simplify radicals.
sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):
(2 sqrt(7))/6
Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.
2/6 = 2/(2×3) = 1/3:
Answer: (sqrt(7))/3
Answer:
x = 5
Step-by-step explanation:
3x - 7 + 4x = 28
Combine like terms
7x -7 = 28
Add 7 to each side
7x - 7 +7 = 28+7
7x = 35
Divide each side by 7
7x/7 = 35/7
x = 5
Answer:
Option C.
Step-by-step explanation:
If a line passes through two points and , then the equation of line is
The line passes through the points (1,0) and (0,-2). So, the equation of line is
It is a solid line and the shaded region lies below the line, so the sign of inequality must be "≤".
First inequality is .
The parabola intersect the x-axis at 0 and 3, so the equation of of parabola is
It is a solid curve and the shaded region lies above the curve, so the sign of inequality must be "≥".
Second inequality is .
Therefore, the correct option is C.