<span>Part A
</span>Chorus:
Expontential growth = b*a^x
b = 15
a = 1.12 (a= r+1), r = 12%
Which gives a function of f(x) = 15*1.12^x
Band
Linear growth = ax+b
a = 2
b = 30
Which gives a function of g(x)=2x+30
<span>Part B:
</span>f(9) = 15*1.12^9 = 41.59
g(9) = 2*9+30 = 48
<span>Part C:
</span>This is probably problem solving, where you're allowed to use calculators and other softwares.
Therefore you can use different softwares, and make f(x) = g(x).
I did this, and got it to 10.95427141
[email protected]
<span> Ambitious </span>
Answer:
B -1/2
Step-by-step explanation:
4x+8y = 11
We need to get the equation in the slope intercept form
y = mx+b where m is the slope and b is the y intercept
Subtract 4x from each side
4x-4x+8y = -4x+11
8y = -4x+11
Divide by 8
8y/8 = -4x/8 +11/8
y = -1/2x +11/8
The slope is -1/2 and the y intercept is 11/8
The answer is c, y=2. if you look at the graph you can see that where x=-2 the line intersects the y axis at +2.
Answer:
-5/2
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
m = (-2 - 8)/(6 - 2) = -10/4 = -5/2
so y = mx + b
y = -5/2x + b
Using (2,8)
8 = -5/2(2) + b
8 = -5 + b
b = 13
then y = -5/2x + 13
Answer:
x = 50
Step-by-step explanation:
Since this is a right triangle we can use special triangles
The angle next to the x is 60 degrees since it is a 30 60 90 triangle
The side opposite the 30 degree angle is the shorter side
The hypotenuse - 2 * shorter leg
100 = 2 * x
x = 50