Answer:
f(u) = 9/5
Step-by-step explanation:
u - 5 = -4(u - 1) Distribute on the right side
u - 5 = -4u + 4
+4u +4u Add 4u to both sides
5u - 5 = 4
+ 5 + 5 Add 5 to both sides
5u = 9 Divide both sides by 5
u = 9/5
Answer:
x = 4
Step-by-step explanation:
Answer:
46euros
Step-by-step explanation:
Formula- I=P*R/100*T
P=principal amount R=rate T=time
Compute the values given in the question to this formula
So, it would be-
I= 500*0.023*4
I= 46euros
And that's all!
Answer:
rate of the plane in still air is 33 miles per hour and the rate of the wind is 11 miles per hour
Step-by-step explanation:
We will make a table of the trip there and back using the formula distance = rate x time
d = r x t
there
back
The distance there and back is 264 miles, so we can split that in half and put each half under d:
d = r x t
there 132
back 132
It tells us that the trip there is with the wind and the trip back is against the wind:
d = r x t
there 132 = (r + w)
back 132 = (r - w)
Finally, the trip there took 3 hours and the trip back took 6:
d = r * t
there 132 = (r + w) * 3
back 132 = (r - w) * 6
There's the table. Using the distance formula we have 2 equations that result from that info:
132 = 3(r + w) and 132 = 6(r - w)
We are looking to solve for both r and w. We have 2 equations with 2 unknowns, so we will solve the first equation for r, sub that value for r into the second equation to solve for w:
132 = 3r + 3w and
132 - 3w = 3r so
44 - w = r. Subbing that into the second equation:
132 = 6(44 - w) - 6w and
132 = 264 - 6w - 6w and
-132 = -12w so
w = 11
Subbing w in to solve for r:
132 = 3r + 3(11) and
132 = 3r + 33 so
99 = 3r and
r = 33
