The answer
is 85 gallons
in a day
This question is pretty confusing in the way that i'm not entirely sure what it wants the answer to be, but i'll do my best.
i used the simple interest formula to come up with the equations, and the formula is I = PRT, (I) being interest, (P) being the amount, (R) being the rate of interest, (T) being the time, in months
b = the balance on the customer's account
c = service charge
t = number of months
if b > 1000, then c = b*.008t
if b </= to 1000, then c = b*.012t
if b < 50, then c = t
if b = 0, then c = 0
it looks really confusing but i'm hoping it's lining up with what you're learning and not completely ?????
i created the restrictions with the inequalities based on the given information of what happens when a balance exceeds 1000, is less than 1000, is less than 50, and is 0.
i used the remainder of the given information in the problem to get the equations -- the interest rate for b > 1000 is 0.8%, which is .008, b </= 1000 is .012, and so on. i hope this wasn't too terribly confusing, and let me know if you have any questions about how i came up with the equations!!
72x + 436= -96x + 1108x
72x+436=1012x
436=1012x−72x
436=940x
436/940=x
109/235=x
x=109/235
Hope this helps have a blessed and wonderful day!
So James covers 8 meters in the first second....then he sprints 9 meters per second......
9 seconds after the race....so there are 8 seconds that he is sprinting 9 meters per second.....(8 * 9) = 72 meters....plus the 8 meters for the 1st second = (72 + 8) = 80 meters....
and if it is 100 meter race, and he has ran 80 meters, then that leaves 20 meters from the finish line....answer is D
Answer:
The sum of the two vectors is the vector <-0.5 , 4+3.5
>
Step-by-step explanation:
The horizontal component (x) of a vector whose magnitude is b units and its direction is Ф° is b cos Ф
The vertical component (y) of a vector whose magnitude is b and its direction is Ф is b sin Ф
The vector is <b cos Ф , b sin Ф>
∵ The vector goes 7 units at an angle 
- That means its magnitude is 7 and its direction is
∴ x = 7 cos( )
∴ y = 7 sin( )
∵ cos( ) = 
∵ sin( ) = 
- Substitute them in x and y
∴ x = (7)( )
∴ x = -3.5
∴ y = (7)( )
∴ y = 3.5
∴ The vector is <-3.5 , 3.5>
Now lets add the vectors by adding xs and ys components
∵ <3 , 4> + <-3.5 , 3.5 > = <3 + -3.5 , 4 + 3.5 >
∴ <3 , 4> + <-3.5 , 3.5> = <-0.5 , 4+3.5 >
∴ The sum of the two vectors is the vector <-0.5 , 4+3.5 >
