I'm not completely sure, but this should be exponential growth.
If so, the equation for exponential growth is: y = a(1 + r)^t
If I substitute them with the information you gave me, then is would look like this:
y = 281.4(1 + 0.02)^t
**t = is the number of years after 2000 (based on your question)**

Finished!

3 0

2 years ago

Solve these equations. Show solutions on a number line.<br><br> |x+8|=x+8<br><br>

statuscvo [17]

Answer:

-8 < x < inf

[-8 , inf )

Step-by-step explanation:

set up a +/- |x + 8| = x + 8

the setup a number line and use test points

3 0

3 years ago

\[f(x)=\sqrt{x ^4-16x ^{2}}\]

marusya05 [52]

$f ( x ) = \sqrt{ x^{4} -16 x^{2} }$
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) = $\frac{1}{2 \sqrt{x ^{4}-16 x^{2} } } * ( x^{4}-16 x^{2} )` =$
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34

4 0

2 years ago