I guess the original expression is 125 = 5^x
If you apply logarithms to both sides, you get:
log (125) = x * log (5) <----------- logaritmic equation
=> x = log (125) / log(5)
Given that 125 is 5^3
you can simplify to
x = log (5^3) / log(5) = 3 log (5) / log (5) = 3 * 1 = 3
There you have the expression as a logarithmic equation and the solution of the equation.
Answer:
60
Step-by-step explanation:
You dont have enough infor, but if its 120 degrees, A total degree of a triangle is 180, so 180-120 equals 60
Answer:
The standard error of the mean is 10.11 points
Step-by-step explanation:
Standard error of mean = t×sd/√n
sd = 115 points, n = 500, degree of freedom = n-1 = 500-1 = 499, assuming a 95% confidence level, t-value corresponding to 499 degrees of freedom and 95% confidence level is 1.96501
Standard error of mean = 1.96501×115/√500 = 10.11 points (to the nearest 100th)
Answer:
65
Step-by-step explanation:
70 - 60 = 10
10 / 2 = 5
Thus 65
Answer:
D) $11,499.63
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 4% into a decimal:
4% -> 
-> 0.04
Since the interest is compounded 6 times a year, we will use 6 for n. Lets plug in the values now:
Your answer is D) $11,499.63
