Answer:
1.) 12000
2.) 6750
3.) 2.41
Step-by-step explanation:
Given the Equation :
f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t
When, car was purchased, t = 0
t = 0
f(0) = 12000(3/4)^0
= 12000 * 1
= 12000
2.)
f(2) ; this mean the worth of the car after 2 years :
f(2)=12,000(3/4)^t.
12000(3/4)^2
12000 * 0.5625
= 6750
When car will be worth 6000
f(t) = 6000
f(t)=12,000(3/4)^t.
6000 = 12,000(3/4)^t
6000 / 12000 = (3/4)^t
1/2 = (3/4)^t
Take the log of both sides :
Log(0.5) = log(0.75)^t
log(0.5) = tlog(0.75)
- 0.301029 = - 0.124938t
t = - 0.301029 / - 0.124938
t = 2.4094
t = 2.41 years
Answer:
C aka the third one
Step-by-step explanation:
6x+4/5=8
subtract 6x from both sides
4/5=8-6x
multiply both sides by 5 to get rid of the fraction
4=40-30x
divide both sides by 2
2=20-15x
add 15x to both sides
15x+2=20
subtract 2 from both sides
15x=18
divide both sides by 15
x=1.2
A. 12j and 42j
C. 17j³ + 18j³
This is because the variables and their powers are the same in these terms
So, Both lines are perpendicular
Step-by-step explanation:
We need to identify if lines:
Line 1: (8,12)(7,-5)
Line 2: (-9,3)(8,2)
are parallel, perpendicular, or neither?
- Lines are parallel if they have same slopes i.e slope 1= slope2
- Lines are perpendicular if their slopes are negative inverses of each other i.e slope 1= -1/slope 2
The formula used to find slope is:
Finding Slope of Line 1:
The points are: Line 1: (8,12)(7,-5)
Putting values in the formula:
So, Slope of line 1 is 17
Finding Slope of Line 2:
The points are: Line 2: (-9,3)(8,2)
Putting values in the formula:
So, Slope of line 2 is 
Since
So, Both lines are perpendicular
Keywords: Slope of Lines
Learn more about Slope of lines at:
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