Just plug in the 30° into that equation.
<span>A(30°) = 16sin(30°)(cos(30°) + 1) </span>
<span> = 16(1/2)(1 + √3/2) </span>
<span> = Approx 14.9 in² </span>
<span>So A is the answer. </span>
Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form:
x² + 8 x - y + 18 = 0
The population will be about 2972 population in 2020
<h3>Exponential functions </h3>
The standard exponential equation is expressed as;
y = ab^x
where
- a is the intercept
- b is the initial population
- x is the time
Given the following parameters
Substittute the given parameters into the formula
y = 2000(1.02)^x
If x = 20 (from 2000 to 2020)
The population will be expressed as;
y = 2000(1.02)^20
y = 2972 populations
Hence the population will be about 2972 population in 2020
Learn more on exponential functions here; brainly.com/question/12940982
