Exact Area = 98pi
Approximate Area = 307.8760800518 (use calculator stored version of pi)
Approximate Area = 307.72 (using pi = 3.14)
Units are in square millimeters
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Explanation:
In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is
A = pi*r^2 = pi*14^2 = 196pi
Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately
If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72
Answer:
He should pay $2,790.7.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years.
After t years, the total amount of money is:

In this question:
Rate of 10%, so I = 0.1.
9 months, so 
How much should he pay for a note that will be worth $3,000 in 9 months?
We have to find P for which T = 3000. So



Then





He should pay $2,790.7.
Answer:
i dont know angles
Step-by-step explanation:
1. I suppose the ODE is supposed to be

Solving for
gives

which is undefined when
. The interval of validity depends on what your initial value is. In this case, it's
, so the largest interval on which a solution can exist is
.
2. Separating the variables gives

Integrate both sides. On the left, we have

where we substituted
- or
- and
- or
.

On the right, we have


So




I'll leave the solution in this form for now to make solving for
easier. Given that
, we get



and so our solution is
