Step-by-step explanation:
=> 2r + 7 = 16
=> 2r = 16 - 7
=> r = 9/2
=> r = 4.5
9514 1404 393
Answer:
a. 0.81
b. v = 28000(0.81^n)
c. 2757.36
Step-by-step explanation:
a. The growth factor is 1 more than the growth rate. Here, the growth rate is -19% (per year), so the growth factor, the multiplier, is ...
1 -0.19 = 0.81
__
b. The equation sets value equal to the original value multiplied by the growth factor to the power of the number of years:
value = (original value) × (growth factor)^n
v = 28000(0.81^n)
__
c. For n=11, this is ...
v = 28000(0.81^11) ≈ 2757.36
The value of the truck after 11 years is about $2757.
Answer:
Step-by-step explanation:
6x-6+35 = 3x+29
6x - 3x = 29-29
3x = 0
x=0
Answer:
x = 6, y =3
Step-by-step explanation:
4x-7y=3
x-7y=-15
Multiply the first equation by -1
-4x+7y=-3
Then add this to the second equation to eliminate y
-4x+7y=-3
x-7y=-15
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-3x +0y = -18
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
Now find y
x -7y = -15
6 -7y = -15
Subtract 6 from each side
6-7y-6 = -15-6
-7y = -21
Divide by -7
-7y/-7 = -21/-7
y =3
Given:
- the perimeter of a rectangular field is 84 yards
- the ratio of the length to the width is 2:1
To find:
- the length
- the width
- the area
Answer:
Let's assume that the length is 2x and the width is 1x.
We know that the formula to find the perimeter of a rectangle is as follows:
Perimeter = 2 × (Length + Width)
Substituting the values that we have, into the formula above,
84 = 2 × (2x + 1x)
84 = 2 × 3x
84/2 = 3x
42 = 3x
x = 42/3
x = 14
Since we know the value of 'x', let's use it to find the length and the width.
Length = 2x = 2 × 14 = 28
Width = 1x = 1 × 14 = 14
Since we now know the length and the width, let's find the area of the rectangle.
The formula to find the area of a rectangle:
Area = Length × Width
Substituting the values we have into the formula,
Area = 28 × 14
Area = 392
Therefore, the area of the rectangle is 392 square yards.
Hope it helps. :)
