Answer:
k=9
Step-by-step explanation:
First find r=22/20=1.1
The sum of the first k terms formula is a1•(1-r^k)/(1-r)
a1=20 and the sum is 271.59
Now plug in these values in the formula and find k.
271.59=20(1-1.1^k)/(1-1.1)
When you simplify this equation, you will get k=ln(2.358)/ln(1.1)
k=9
Answer:
length = 17 ft and width = 12 ft
Step-by-step explanation:
The rug is rectangular .
Let
width = a
length = a + 5
Area of the rug = a × (a + 5) = a² + 5a
The rug is always placed 2 ft from the wall. The illustration describes a rectangle place into another. The space between the rug and the wall is 100 ft².
The living room
length = a + 5 + 2 + 2= a + 9
width = a + 2 + 2 = a + 4
area = (a + 9)(a + 4) = a² + 4a + 9a + 36 = a² + 13a + 36
a² + 13a + 36 - (a² + 5a) = 100
a² + 13a + 36 - a² - 5a = 100
8a + 36 = 100
8a = 100 - 36
8a = 64
a = 64/8
a = 8
Dimension of the living room
length = a + 9
length = 8 + 9 = 17 ft
width = a + 4
width = 8 + 4 = 12 ft
length = 17 ft and width = 12 ft
Answer:
50 feet long
87.5 feet wide
350 feet high
Step-by-step explanation:
8 inches : 250 feet
1 inch : 250/8 feet
250/8 = 31.25
Length: 31.25 × 1.6 = 50 feet
Width: 31.25 × 2.8 = 87.5 feet
Height: 31.25 × 11.2 = 350 feet
The formula for point slope is:
y-y1=m(x-x1)
m is your slope: 3; plug in 4 for y1 and 2 for x1
y - 4=3(x-2)
Answer:
110
Step-by-step explanation:
