In terms of significant figures, when doing division and/or multiplication, the answer should reflect the number in the problem
1 answer:
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Answer:
The equation of the displacement as a function of time
is :
Step-by-step explanation:
Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple or
terms.
Thus,
is the general form of displacement of a SHM.
where,
- <em>
is the displacement with respect to the mean position at any time
</em>
- <em>
is amplitude </em>
- <em>
is the natural frequency of oscillation (
)</em>
- <em>
is the phase angle which indicates the initial position of the object in SHM (
)</em>
given,
- Time period (
) =
- The natural frequency (
∴
=
∴
the equation :
<em>⇒ </em> ------1
since when
,
<em>⇒ ------2</em>
where n is an integer ;
<u>⇒since the bouy immediately moves in the negative direction , must be negative or c must be an odd multiple of
.</u>
<em>⇒ ------3</em>
where k is also an integer ;
the least value of ;
thus ,
the equation is :
<em></em>
Answer:
18 years
Step-by-step explanation:
The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by
Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03
We can rearrange the above equation to:
Taking logs on both sides
This gives
In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075
1 + r/n = 1+0.0075 = 1.0075
4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72
t = 72/4 = 18 years