Answer:
$0.21
Step-by-step explanation:
Let x be the amount of money earned per hour before raise and y be amount of money earned per hour after raise.
We have been given that before raise he worked 38 hours and earned $220. We can represent this information as: 
We are also told that the next week, he received a raise. After raise he worked 30 hours and made $180. We can represent this information as: 
.
Let us solve for x and y.
Therefore, before raise Mike earned $5.7894 per hour.
Therefore, after raise Mike earned $6 per hour.
Now let us subtract 5.7894 from 6 to find Mike's raise.
Therefore, amount of Mike's raise to the nearest cent is $0.21.
3 4/5 is the answer also the three is the whole number
Answer: f(x) = 1.5*sin(x*2*pi/0.0038s)
Step-by-step explanation:
A sine function is:
f(x) = A*sin(c*x + f)
Where A is the amplitude, we know that it is 1.5
c is a constant that depends on the frequency.
f is a phase.
As there is no mention of a phase, we can assume f = 0.
Then our function is:
f(x) = 1.5*sin(c*x)
now let's find the value of c.
We know that the frequency is 262hz.
Then the period can be calculated with the equation:
T = 1/f.
T = 1/262 Hz = 0.0038 seconds.
Now, the period of a sin function is 2*pi.
whit pi = 3.14159265358979.....
Then we have that:
sin(0) = sin(c*0.0038s)
sin(0) = sin(2*pi)
then:
c*0.0038s = 2*pi
c = 2*pi/0.0038s
Then the function is:
f(x) = 1.5*sin(x* 2*pi/0.0038s)
Getting rid of the decimal points, we realize that these numbers have a common denominator- 12. Since it takes Me 10 minutes to jog 1.2 miles, then it would take me 40 minutes to jog 4.8 miles
80 percent of 96 is 76.8
96 * 0.8 = 76.8
