Answer:
2
Step-by-step explanation:
The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...
S = a1/(1 -r) 1/(1 -1/2) = 2
The sum of the series is 2.
Answer: I belive it’s B. both are taxed at the federal and local level
Step-by-step explanation:
Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
Answer:
Step-by-step explanation:
P x 20/100 x 4=240
1/5 x 4p =240
4/5p x5=240 x 5
4p/4=1200/4
p=300
Answer:
Rate per hour: 100 bagels/hour
In 12 hours: 1200 bagels are made
Step-by-step explanation:
In order to answer this question, start by finding how many bagels can be made in the unit of time: "1 hour." That way it is easy to find how many bagels are made in any amount of hours.
If in 2 hours, 200 bagels are made, then in one hour 100 bagels are made
This means a rate of 100 bagels per hour
Now if in one hour 100 bagels are made, then in 12 hours 12 times 100 bagels will be made. Therefore, in 12 hours a total of: 100 times 12 bagels are made, that is: 1200 bagels in 12 hours.
