Floyd is an aspiring music artist. he has a record deal that pays him a base rate of $200 a month and an additional $12 for each album sold. last month, he earned a total of $644. -write an equation to represent the situation. let a represent the number of albums he sells.-solve your equation to find how many albums he sold.
show your work
a = 37
We can formulate the equation:
f(a) = 12a + 200 // Let a be the number of albums sold and f(a) be the amount of money made.
We know that The total made $644 so we have the equation:
644 = 12a + 200
444 = 12a
444/12 = a
a = 37
i.e, cos(x) =(-1/2)
i.e, cos(x)= - cos (π/3)
i.e, cos(x)= cos(π-π/3) [since, cos(π-x) = -cosX]
or, cos(x)= -cos(π/3)
i.e, cos(x)=cos(π+π/3). [since, cos (π+x)= -cosx]
Alright so being presented with this equation the first thing we want to do is subtract 1 from both sides of .
Now we want to simplify it to .
Now go ahead and divide both sides by 2.
Make sure you simplify again to get .
Now you need your sin/cos periodicity table. When you look at the charts. Look for the general solutions of . After looking at the chart you will find .
Which we can then finalize at .
Hope this helps!
54 km / hours
we need to convert seconds to hours
60 seconds = 1 minutes
60 minutes = 1hour
15 m 60 second 60 minutes
* * = 54000 meters/ hour
second 1 minute 1 hour
now we need to convert meters to km
1000 m = 1 km
54000 m 1 km
* = 54 km / hours