Answer:
- After 17 years and 3 months
Step-by-step explanation:
<u>Given function:</u>
We are looking for the value of x at f(x) < 2000
<u>Solve the equation:</u>
- 2000 = 18000(0.88)^x
- (0.88)^x = 2000/18000
- (0.88)^x = 0.1111
- log (0.88)^x = log 0.1111
- x = log 0.1111 / log 0.88
- x = 17.18
After 17 years and 3 months the car value drops below $2,000
Answer: Solve this problem using the angle bisector theorem. This theorem states that when given a triangle with an angle bisector (line that cuts one of the angles in half, into two of the same angles), that angle bisector divides the opposite side into two segment proportional to the sides of the triangle
Answer:
-6
Step-by-step explanation:
An integer is a whole number that can either be positive, negative or zero.
Now, we want to write the integer that represents 6 yards behind the winner.
Now, a distance of 6 yards behind the winner means a deficit distance of 6 yards behind the winner. Which in turn means a negative distance which is -6 yards behind the winner.
Thus, the integer is -6
Answer:
width = length = 3 inches
height = 7 inches
Step-by-step explanation:
If x is the width and length of the base, and y is the height, then:
y = x + 4
The volume of the box is:
63 = x²y
The surface area of the box is:
93 = x² + 4xy
Substitute the first equation into the third.
93 = x² + 4x (x + 4)
93 = x² + 4x² + 16x
0 = 5x² + 16x − 93
0 = (x − 3) (5x + 31)
x = 3
y = 7
Use the second equation to check your answer.
63 = (3)²(7)
63 = 63
