Answer:
25% increase
Step-by-step explanation:
length is 24 inches after the increase and width is 33 inches (i did length as up and down and width as side to side, that's how I always do it but I might be wrong let me know and I can fix it)
the area before it gets increased it 600
after the increase its 792
and 600 is 75.75% of 792
so it would be 25.25% increase
sorry this was so long hope this helps
Speed of the plane: 250 mph
Speed of the wind: 50 mph
Explanation:
Let p = the speed of the plane
and w = the speed of the wind
It takes the plane 3 hours to go 600 miles when against the headwind and 2 hours to go 600 miles with the headwind. So we set up a system of equations.
600
m
i
3
h
r
=
p
−
w
600
m
i
2
h
r
=
p
+
w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation. I'll solve for x in the first equation:
200mph = p - w
Add w to both sides:
p = 200mph + w
Now we can substitute the x that we found in the first equation into the second equation so we can solve for w:
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
Divide by 2:
50mph = w
So the speed of the wind is 50mph.
Now plug the value we just found back in to either equation to find the speed of the plane, I'll plug it into the first equation:
200mph = p - 50mph
Add 50mph on both sides:
250mph = p
So the speed of the plane in still air is 250mph.
Answer:
"She invested $2500 in 5% account and $5500 in 8% account"
Step-by-step explanation:
Let the amount invested in 5% account be "x"
So, the amount invested in 8% account would be "8000 - x"
Interest amount is the percentage multiplied by amount invested. So
Interest of 5% account = 5% of x = 0.05x
Interest of 8% account = 8 % of 8000 - x = 0.08(8000 - x)
Total interest is the sum of these 2 expressions that EQUATES to 565 (given). Let's solve for x:

and thus,
"8000 - x" = 8000 - 2500 = 5500
Hence,
She invested $2500 in 5% account and $5500 in 8% account
Answer:
568
Step-by-step explanation:
because we multiply the 64 with the number that will be in the number