Answer: $6,861.44
Step-by-step explanation:
Car was bought 3 years ago for $12,000.
Value decreases by 17% every year.
Current value is:
= 12,000 * (1 - 17%)³
= $6,861.44
Simplify. Distribute 2 to all terms within the parenthesis
2(m -3) = 2m - 6
Simplify. Combine like terms
2m - 6 + 7 < 21
2m + 1 < 21
Isolate the m. Subtract 1 from both sides
2m + 1 (-1) < 21 (-1)
2m < 20
Isolate the m. Divide 2 from both sides
2m/2 < 20/2
m < 20/2
m < 10
m < 10 is your answer
hope this helps
Answer:
2.2 metres squared
Step-by-step explanation:
We need to find the area of this trapezoid.
The area of a trapezoid is denoted by:
, where
and
are the parallel bases and h is the height
Here, we already know the lengths of the two bases; they are 0.9 metres and 2.3 metres. However, we need to find the length of the height.
Notice that one of the angles is marked 45 degrees. Let's draw a perpendicular line from top endpoint of the segment labelled 0.9 to the side labelled 2.3. We now have a 45-45-90 triangle with hypotenuse 2.0 metres. As one of such a triangle's properties, we can divide 2.0 by √2 to get the length of both legs:
2.0 ÷ √2 = √2 ≈ 1.414 ≈ 1.4
Thus, the height is h = 1.4 metres. Now plug all these values we know into the equation to find the area:


The answer is thus 2.2 metres squared.
<em>~ an aesthetics lover</em>