Square ABCD is translated 9 units to the right, followed by a translation 6 units down
1 answer:
You might be interested in
The formula for depreciation is:
Where x = Initial value,
y= Amount after depreciation.
r= Rate of depreciation,
t = time (in years)
According to given problem,
x = 1040, y= 944 and t = 12 months =1 year.
So, first step is to plug in these values in the above formula, So,
944 = 1040 (1 -r)
Divide each sides by 1040.
0.907692308 =1 - r
0.907692308 - 1 = -r Subtract 1 from each sides.
-0.092307692 = -r
So, r = 0.09 or 9%.
Now plug in 0.09 in the above equation to get the depreciation equation. So,
So,
b) To find the value of the bike after 5 months,
plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.
So,
y = 1040 * 0.961465659
y = 999.9242852
y = 1000 (Rounded to nearest integer).
Hence, the value of the bike after 5 months is $1000.
9514 1404 393
Answer:
13.8654599313 and -0.8654599313
Step-by-step explanation:
If one of the numbers is x, then the other is 13-x, and their product is ...
x(13 -x) = -12
x^2 -13x = 12 . . . . multiply by -1 and simplify
x^2 -13x +6.5^2 = 12 +6.5^2 . . . . complete the square
(x -6.5)^2 = 54.25
x -6.5 = √54.25
x = 6.5 +√54.25 ≈ 13.8654599313
and the other number is ...
13 -x = 13 -13.8654599313 = -0.8654599313
The two numbers are 13.8654599313 and -0.8654599313.
