Assuming that the room is rectangle and carpet is rectangle
area=legnth times width
legnth=longer than width
12 is longer than 8
12ft=legnth
8ft=width
now convert to yards
1 yard=3 feet
1 foot=1/3 yard
12 ft times 1/3=4yards
8 ft times 1/3=8/3yards
multiply
area=4 tiimes 8/3
area=32/3
area=10 and 2/3 square yards
Answer:
-3 1/3
Step-by-step explanation:
The quadratic
... y = ax² +bx +c
has its extreme value at
... x = -b/(2a)
Since a = 3 is positive, we know the parabola opens upward and the extreme value is a minimum. (We also know that from the problem statement asking us to find the minimum value.) The value of x at the minimum is -(-4)/(2·3) = 2/3.
To find the minimum value, we need to evaluate the function for x=2/3.
The most straightforward way to do this is to substitue 2/3 for x.
... y = 3(2/3)² -4(2/3) -2 = 3(4/9) -8/3 -2
... y = (4 -8 -6)/3 = -10/3
... y = -3 1/3
_____
<em>Confirmation</em>
You can also use a graphing calculator to show you the minimum.
Answer:
<u>Equation: V = C * (1 - r)^t</u>
<u>Answer: $ 8,066.37</u>
Step-by-step explanation:
Let's recall that depreciation on a car can be determined by the formula:
V = C * (1 - r)^t , where:
V is the value of the car after t years,
C is the original cost
r is the rate of depreciation
t is the number of years of utilization of the car
Therefore, we have:
V = C * (1-r)^t
V = 15,500 * (1 - 0.07)⁹
V = 8,066.37 (rounding to the next cent)
<span>a1= (which is the first term.)
to find the 2nd term you plug in 2 for (an) in the formula given to you. =-4(2-1)^2 *remember an represents the term u are looking for *
now you start to solve it
-4(2-1)^2
-4 (1)^2
.
-4^2
= 16
so your first two terms are 2 and 16 .</span>
