Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:
Where <em>k</em> is the constant of variation.
Inverse variation is in the form:
In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:
We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:
Solve for <em>k: </em>
<em />
<em />
<em />
So, our equation becomes:
Then when the length is 0.5 meters, the frequency will be:
Answer:
Option D. 17%
Step-by-step explanation:
we have
This is a exponential function of the form
where
a is the initial value
b is the base
In this problem
a=250,000 people
b=1.17
Remember that
b=1+r
so
1+r=1.17
r=1.17-1=0.17
Convert to percentage
0.17*100=17%
Answer:
Total amount in Joe's savings account T = $448
Step-by-step explanation:
Given;
time t = 3 years
Annual rate r = 4%
Principal P = $400
Simple interest can be expressed as;
I = Prt/100
Substituting the given values;
I =400×4×3/100 = 4800/100
I = $48
Total amount in account T;
T = P + I = $400 + $48 = $448
<span>The normal curve is described by a bell curved graph. The bell curved graph of a normal distribution depends on two factors: the mean and the standard deviation. The mean identifies the position of the center and the standard deviation determines the height and width of the bell.
Therefore, the factor that the width of the peak of the normal curve depends on is the standard deviation.</span>
