The amount of money that usain bolt would have after two years is $3,307.5.
<h3>Future value</h3>
Using this formula
Future value=Principal×(1+Growth rate)^Time
Where:
Principal=$3,000
Growth rate=5%
Time=2 years
Let plug in the formula
Future value=$3,000×(1+0.05)²
Future value=$3,000×(1.05)²
Future value=$3,000×1.1025
Future value=$3,307.5
Inconclusion the amount of money that usain bolt would have after two years is $3,307.5.
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The wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
Given the data in the question;
- Frequency of sound wave a;

- Wavelength of sound wave a;

Speed of sound wave; 
- Frequency of sound wave b;

Wavelength of sound wave b; 
<h3>Wavelength</h3>
Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.
It is expressed as;

Where v is velocity and f is frequency.
First, we calculate the velocity of the sound wave in air from sound wave a.

Now, we determine the wavelength of sound wave b using the velocity of sound wave in air calculated above.

Therefore, the wavelength of the sound wave if the frequency is increased to the given value is 0.44m.
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For this we will use kinematic equations.
We need the time of flight to compute the range.
With the given information, the most useful formula is:
Δy=v0yt−g2t2
Because our equation is taking only vertical motion into account,
v0y=30sin(45)
Because we are looking for the range of the object,
Δy=0
This leaves us with only one unknown: t
0=30sin(45)t−g2t2
g2t2=30sin(45)t
g2t=30sin(45)
t=60gsin(45)
For horizontal distance, the formula we need is:
Δx=v0xt
Because we are taking into account the horizontal range,
v0x=30cos(45)
In substituting our derived values into the equation we can see that:
Δx=30cos(45)∗60gsin(45)
Range=30cos(45)∗60gsin(45)
Answer: the population has a mean of less than 30
Explanation:
In interval estimation, the t distribution is applicable only when a. the population has a mean of less than 30. the sample standard deviation (s) is given instead of the population standard deviation