Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by
in grams, is governed by the differential equation,

which is linear. Move the
term to the right side, then multiply both sides by
:


Integrate both sides, then solve for
:


Since the tank starts with 5 g of salt at time
, we have


The time it takes for the tank to hold 20 g of salt is
such that

The area of a rectangle is equal L x W
4 cm longer than it is wide L = 4 + <span>W
</span>
L x W = 117 we replace L here
(4 + <span>W ) x W = 117
</span>
4W + W ^2 = 117
<span>4W + W ^2 -117 = 0
</span>W ^2 +4 W -117 = 0
W² + 4W - 117 = 0
<span>
THEN u want to use the </span>use the quadratic formula
OR Factoring gives us
(W + 13)(W - 9) = 0
W = -13 or 9
But it can't be negative, so
W = 9 and L= 9+4 = 13
Answer:
A = $18,326.00
(assuming simple interest)
Step-by-step explanation:
Assuming simple interest, the following formula applies:
final amount = (principal amount) x [1 + (annual rate)(time elapsed) ]
or
A = P (1 + rt)
in our case,
P = $7,700
r = 5.75% = 0.0575
t = 24 years
hence,
A = 7700 [ 1 + (0.0575)(24)]
A = 7700 ( 1 + 1.38)
A = 7700 x 2.38
A = $18,326.00
I believe this is the complete problem.
<span>Anton bought a picnic cooler. His total bill, with tax, was $7.95. He paid 6 percent sales tax. How much did he pay for the cooler alone without the tax?
The cost of an item is 100% of its price. What number goes in place of ? in the addition problem?
</span>
The answer is the below:
<span>He paid $7.473 without tax because $7.95 x 96% or (0.96) =$7.473</span>