∑ from 1 to infinity of 12(3/5)^(i - 1)
Since the common ratio is less than 1, the series is convegent. [i.e. 3/5 < 1]
Sum to infinity of a geometric series is given by a/(1 - r); where a is the first term, and r is the common ratio.
Sum = 12/(1 - 3/5) = 12/(2/5) = 30.
First distribute the invisible 1 to the numbers in the parenthesis.
3x + 2 - 4x
Combine like terms.
-x + 2
Answer:
(900 ÷ 4) x 10 -200 = 2050 And this will equal last Summer's earnings
Step-by-step explanation:
So we know that 900$ is equal to 40% and that we can simplify this
900 ÷ 4 = 225
40% ÷ 4 = 10%
Therefore:
225 = 10% and
2250 = 100% of earnings
A. The internet told me again
Answer:
The new dimensions are 6 ft and 4 ft.
Step-by-step explanation:
Let x = side of original square.
The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are
x + 3 and x + 1
The area of the rectangle is length × width.
area = (x + 3)(x + 1)
area = x² + 4x + 3
The area is 24 ft².
x² + 4x + 3 = 24
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0
x + 7 = 0 or x - 3 = 0
x = -7 or x = 3
x + 3 = 3 + 3 = 6
x + 1 = 3 + 1 = 4
The new dimensions are 6 ft and 4 ft.
