The average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.
The given parameters;
- s(t) = -9t² + 103t + 403
- time interval (4.499, 4.5), and (4.5, 4.501)
The average velocity of the bottle rocket over the intervals is calculated as follows;
when the interval = [<em>4.499, 4.5</em>]
when the interval = [<em>4.5, 4.501</em>]
The instantaneous velocity of the bottle rocket at time t=4.5;
Thus, the average velocity of the bottle rocket are two given time intervals is 30 m/s and 20 m/s respectively, while the instantaneous velocity at 4.5 seconds is 22 m/s.
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The present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
<u>Given the following data:</u>
- Investment opportunity (youth) = $12,000
- Investment opportunity (old age) = $15,000
To calculate the most James bennett can consume in his youth:
First of all, we would determine the future value of James bennett from his investment and inheritance as follows:
FV = $18000
Mathematically, the most James bennett can consume in his youth is given by this formula:
Substituting the given parameters into the formula, we have;
PV = $15,254.24
Therefore, the present value (PV) of $15,254.24 is the most James bennett can consume in his youth.
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The answer is the first one
<span>Laurence Peter believes that in a bureaucracy, employees often are promoted beyond their level of competence. He was a Canadian educator and was known for formulating the Peter Principle which states, "P</span><span>eople are promoted into positions they are not qualified to perform."</span>
