What is the equation of the line that passes through the point (-3,-4) and has a slope of 4?
1 answer:
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<h3>Answer:</h3>
- using y = x, the error is about 0.1812
- using y = (x -π/4 +1)/√2, the error is about 0.02620
The actual value of sin(π/3) is (√3)/2 ≈ 0.86602540.
If the sine function is approximated by y=x (no error at x = 0), then the error at x=π/3 is ...
... x -sin(x) @ x=π/3
... π/3 -(√3)/2 ≈ 0.18117215 ≈ 0.1812
You know right away this is a bad approximation, because the approximate value is π/3 ≈ 1.04719755, a value greater than 1. The range of the sine function is [-1, 1] so there will be no values greater than 1.
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If the sine function is approximated by y=(x+1-π/4)/√2 (no error at x=π/4), then the error at x=π/3 is ...
... (x+1-π/4)/√2 -sin(x) @ x=π/3
... (π/12 +1)/√2 -(√3)/2 ≈ 0.026201500 ≈ 0.02620
Answer:
4%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:
<em>P = initial balance</em>
<em>I = interest</em>
<em>t = time</em>
<em />
Plug the values into the equation:
The last step is to convert 0.04 into a percent:
0.04(100) = 4
The interest rate is 4%.