<h3>
Answer: y = x+1</h3>
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Explanation:
f(x) = x^3 - 2x + 3
f ' (x) = 3x^2 - 2 ..... apply the power rule
f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point
f ' (1) = 1
If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.
Now apply point slope form to find the equation of the tangent line
y - y1 = m(x - x1)
y - 2 = 1(x - 1)
y - 2 = x - 1
y = x - 1 + 2
y = x + 1 is the equation of the tangent line.
The graph is shown below. I used GeoGebra to make the graph.
Four point two-hundred ninety three
Answer:
$25,193.17
Explanation:
Given:
• Principal Felipe borrowed, P=$8000
,
• Annual Interest Rate, r=16.5%=0.165
,
• Compounding Period, k=12 (Monthly)
,
• Time, t=7 years
We want to determine how much he will owe after 7 years.
In order to carry out this calculation, use the compound interest formula below:
Substitute the values defined above:
Finally, simplify and round to the nearest cent.
After 7 years, Felipe will owe $25,193.17.
Answer:
9
Step-by-step explanation:
A = B + 2
C = B - 3
A x C = 66
A = Andrew
C = Chris
B = Beatrice
Multiply A and c together
(B + 2) x (b - 3)
b^2 - 3b + 2b - 6
b^2 -b - 6 = 66
b^2 - b - 72 = 0
factors of -72b^2 that add up to - b are -9b + 8b
b^2 + 8b -9b - 72
b (b + 8) -9(b + 8)
b = 9 or - 8
b = 9
Answer:
Step-by-step explanation:
k is a positive integer.
Consider an arithmetic sequence:
First, find n:
Now, find the sum of these 2k+1 terms:
