Answer:
x = -1
Step-by-step explanation:
3(x+2)=−5−2(x−3) multiply 3 and -2 with inside the parenthesis
3x + 6 = -5 -2x + 6 now add the like terms
3x + 2x = 1 - 6
5x = -5 simplify both sides
x = -1
Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Answer:
The functions with the property f(–x) =f(x) are called even functions because they symmetric about the y-axis and The functions with the property f(–x) = -f(x) are called odd because these function are symmetric about the origin .
Step-by-step explanation:
The functions with the property f(–x) =f(x) are called even functions because they symmetric about the y-axis . In other words these functions usually take a form x^2 ,x^4 ,x^6 ,x^8 etc . However ,there are other functions that behave like that too, such as cos(x).An even exponent does not always make an even function, for example (x+1)^2 is not an even function .
The functions with the property f(–x) = -f(x) are called odd because these function are symmetric about the origin . In other words they are called odd because of the functions like x, x^3 ,x^5 ,x^7, etc .but there are other functions that behave like that, too, such sin(x) .but an odd exponent does not always make an odd function, for example x3+1 is not an odd function.
Answer:
The lower limit of 95% confidence interval is 99002.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $100,000
Sample mean, 
= $111,000
Sample size, n = 36
Alpha, α = 0.05
Population standard deviation, σ = $36,730
First, we design the null and the alternate hypothesis
We have to find the lower limit of the 95% confidence interval.
95% Confidence interval:
Putting the values, we get,
The lower limit of 95% confidence interval is 99002.
Answer:
Step-by-step explanation:
(-8, 3) (4, 1)
(1-3)/(4+8)= -2/12 = -1/6
