For the given exponential function there will be an exponential growth of 7%.
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
we have
![f(x) = 4200(1.07)^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%204200%281.07%29%5Ex)
This is an exponential function of the form
![f(x)=ab^x](https://tex.z-dn.net/?f=f%28x%29%3Dab%5Ex)
where
a - is the initial value
b - is the base
If b > 1 ----> is a exponential growth
0 < b < 1 ----> is a exponential decay
r is the per cent rate
b = 1 + r
In this problem we have
a = 4200
b = 1.07
We can see that 1.07 > 1 -----> is a exponential growth
Find out the per cent rate
b = 1 + r
r = 1.07 - 1
r = 0.07
r = 7 x 100 = 7%
Therefore the given exponential function there will be an exponential growth of 7%.
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Answer:
50
Step-by-step explanation:
30% in decimal form is 0.3
0.3x = 15
divide both sides by 0.3
X = 50
I think it is
I4.23 x 10 ^4
Answer:
f(-2) =8
Step-by-step explanation:
f(x) = 3x^2+x-2
Let x = -2
f(-2) = 3 * (-2)^2 + (-2) -2
= 3(4) -2 -2
=12 -2-2
=10 -2
=8
Well the formula to find slope is m=
![\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20y_%7B2%7D-%20y_%7B1%7D%20%20%7D%7B%20x_%7B2%7D-%20x_%7B1%7D%20%20%7D%20)
or (if that didnt work) y2-y1/x2-x1
so y2 is -9 and y1 is -3 so -9-(-3) is the same as -9+3 or -6
x2 is 8 x1 is -4 so 8-(-4) or 8+4 which is 12
-6/12 is equal -1/2
So the slope would be -1/2