Answer:
![ln(27c^3)](https://tex.z-dn.net/?f=ln%2827c%5E3%29)
Step-by-step explanation:
Given: ![3ln(3)+3ln(c)](https://tex.z-dn.net/?f=3ln%283%29%2B3ln%28c%29)
If there is a coefficient in front of a
or
, that means it becomes an exponent.
![ln(3^3)+ln(c^3)](https://tex.z-dn.net/?f=ln%283%5E3%29%2Bln%28c%5E3%29)
Simplify the exponent.
![ln(27)+ln(c^3)](https://tex.z-dn.net/?f=ln%2827%29%2Bln%28c%5E3%29)
When there is addition between two logarithms or natural logarithms, it means they multiply together.
![ln(27c^3)](https://tex.z-dn.net/?f=ln%2827c%5E3%29)
In a right rectangle, we have:
![\sin \alpha=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Calpha%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
![\cos \alpha=\frac{\text{adjacent}}{hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%20%5Calpha%3D%5Cfrac%7B%5Ctext%7Badjacent%7D%7D%7Bhypotenuse%7D)
For your exercice, hypotenuse=12
The exercise also inform the angle 60°, then:
![\sin \text{ 60}=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{b}{12}](https://tex.z-dn.net/?f=%5Csin%20%5Ctext%7B%2060%7D%3D%5Cfrac%7B%5Ctext%7Bopposite%7D%7D%7B%5Ctext%7Bhypotenuse%7D%7D%3D%5Cfrac%7Bb%7D%7B12%7D)
Answer:
C) 360,000cm
Step-by-step explanation:
50x 40x 1.8 = 360,000
An exponential decay function is:
f=ir^t, f=final amount, i=initial amount, r=common ratio, t=number of times ratio is applied...We can see the initial value is 17000 so all we really have to find is the common ratio, or "rate" as some call it :P If we look at the second point, when t=1 we can see:
14280=17000r
r=357/425
r=0.84
So in five years the SUV will be worth more than the car by:
17000(0.84^5)-12000(0.89^5)
$408.73 (to the nearest cent)