3x - 4y = -4
3x - 3x - 4y = -4 - 3x
-4y = -4 - 3x
<u>-4y</u> = <u>-3x - 4</u>
-4 -4
y = 0.75x + 1
<u>D:{8, 4, 0, -4, -8}</u><u> </u>
<u>D{8}</u>
y = 0.75x + 1
y = 0.75(8) + 1
y = 6 + 1
y = 7
(x, y) = (8, 7)
D{8}, R{7}
<u>D{4}</u>
y = 0.75x + 1
y = 0.75(4) + 1
y = 3 + 1
y = 4
(x, y) = (4, 4)
D{4}, R{4}
<u>D{0}</u>
y = 0.75x + 1
y = 0.75(0) + 1
y= 0 + 1
y = 1
(x, y) = (0, 1)
D{0}, R{1}
<u>D{-4}</u>
y = 0.75x + 1
y = 0.75(-4) + 1
y = -3 + 1
y = -2
(x, y) = (-4, -2)
D{-4}, R{-2}
<u>D{-8}</u>
y = 0.75x + 1
y = 0.75(-8) + 1
y = -6 + 1
y = -5
(x, y) = (-8, -5)
D{-8}, R{-5}
D{8, 4, 0, -4, -8}
R{7, 4, 1, -2, -5}
{(8, 7), (4, 4), (0, 1), (-4, -2), (-8, -5)}
Answer:
315881.53
Step-by-step explanation:
We first need to figure out how long it takes for the money to triple
let x= number of years it takes for the money to tirple
Now plug that value into the continously compounding formula
Which rounds to
315881.53
The dog house consists of two geometric objects, triangular prism and rectangular prism.
First, find the surface area of triangular prism
The triangular prism consists of
base of triangle (b) = 3 ft
height of triangle (h) = 2.5 ft
height of prism or length of rectangle (l) = 4 ft
side of triangle or width of rectangle (w) = 2.5 ft
Now, calculate the area
area of tp = area of two triangle + area of 2 rectangle
area of tp = (2 × 1/2 × b × h) + (2 × l × w)
area of tp = (2 × 1/2 × 3 × 2) + (2 × 4 × 2.5)
area of tp = 6 + 20
area of tp = 26 ft²
Second, find the surface area of rectangular prism
The rectangular prisms consists of
length (l) = 3 ft
width (w) = 4 ft
height (h) = 2 ft
Now, calculate the area
area of rp = area of back and front rectangle + area of left and right rectangle
area of rp = (2 × l × h) + (2 × w × h)
area of rp = (2 × 3 × 2) + (2 × 4 × 2)
area of rp = 12 + 16
area of rp = 28 ft²
Third, add both of the area
area = area of tp + area of rp
area = 26 + 28
area = 54 ft²
The area of the dog house is 54 ft²
You could write 42/20 for #60.
2p+3>2p-6
-3 -3
2p > 2p -8
0p >-8
C. No solution
