Mason teaches ice skating. He earns
1 answer:
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Answer:
The equation is found to be:
y(20) = 1241.34
Step-by-step explanation:
The given data is:
x: 3 7 11 14 17
y: 83 142 301 450 722
Now, we find sum summation values, relevant to the formula of exponential regression model, using calculator:
∑ ln y = 27.77305, ∑x ln y = 308.1494, ∑x = 52, ∑ x² = 664
and, n = no. of data points = 5
Now, we use formulae of exponential regression model to find out values of constant:
b = (n∑x lny - ∑x ∑ln y)/[n∑x² - (∑x)²]
b = [(5)(308.1494) - (52)(27.77305)]/[(5)(664) - (52)²]
b = 0.16
Now, for a;
a = (∑ln y - b∑x)/n
Therefore,
a = [(27.77305) - (0.16)(52)]/5
a = 3.9
For, α:
α = e^a = e^3.9
α = 50.6
So, the final equation of exponential regression model is given as:
Now, we find value of y for x = 20:
y(20) = (50.6) e^(0.16*20)
<u>y(20) = 1241.34</u>
So there is a deduction of 6.2% of the first $113,000.00 and 1.45% of all annual earnings for medicare taxes.
Randy earns a monthly gross salary of $3,600.00. So Randy makes:
dollars annually.
Now,
Randy's this month's Social Security tax withholding will be given by 6.2% of his gross monthly salary that is $3,200.00.
So, month's Social Security tax withholding is $223.20.
Now this month's Medicare tax withholding is given by 1.45% of his monthly gross salary.
That is:
So, month's Medicare tax withholding is $52.20.
Answer:
Distance from point (0,1,1) to the given line is zero.
Step-by-step explanation:
Given parametric equations of line,
x=2t, y=5-2t, z=1+t
To find distance from (0,1,1), we have to eliminate t from above equations so that,
whose direction ratioes are (l,m,n)=(3,2,-2) and distance fro point (a,b,c)=(0,1,1) is given by,
Distance between point (0,1,1) and (1) is zero. That is point 90,1,1) is lies on the line (1).