Answer:
f = 2x + 24/ 3
Step-by-step explanation:
Step 1: Divide both sides by x.
fx/x = 2/3 x^2 + 8x/x
f = 2x + 24/3
So all you need to do is subtract m from both sides.
Then you have your answer
m = 1
I hope this helps
-ayden
Answer:
$1136.60
Step-by-step explanation:
The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.
We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:
f(x)=1800(1 + r)^x
We also know the time intervals is 6 months. So that can be substituted as well:
f(x)=1800(1 + r)^6
They told you that the growth rate is 8.5%, which is 0.085 of 1.
f(x)=1800(1 + 0.085)^6
Add the 2 values in the parentheses and you get 1.085
f(x)=1800(1.085)^6
Now solve.
Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:
1800(1.63146751) = 2936.64152. That rounds to 2936.60
So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.
$2936.60 - $1800 = $1136.60
The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:
We have a two-tailed test, as we are testing if the mean is different of a value.
Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:
|t| = 1.9801.
Hence the decision rule is:
- |t| < 1.9801 -> do not reject the null hypothesis.
- |t| > 1.9801 -> reject the null hypothesis.
More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630
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y = - 3
the equation of a horizontal line, parallel to the x- axis is y = c where c is the value of the y- coordinate the line passes through
Line passes through ( - 7, - 3) → y- coordinate is - 3
equation of line is y = - 3
