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slega [8]
2 years ago
9

You have just won the lottery and will receive $570,000 in one year. you will receive payments for 23 years, which will increase

4 percent per year. the appropriate discount rate is 10 percent.
Mathematics
1 answer:
Vikki [24]2 years ago
7 0
DANG $13,210,130 i would love to be this guy

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If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?
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In case you're not already aware, the expression \frac{f(x+h)-f(x)}h is called the "difference quotient" and represents the average rate of change of a function f over an interval [x,x+h].

For the function f(x)=x^2+3x+4, by substituting x+h we get

f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2

Then the difference quotient is

\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h

=\dfrac{(2x+3)h+h^2}h=2x+3+h

where the last equality holds as long as h\neq0.

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