Answer:
Step-by-step explanation:
We are given that
Volume of water in fish pond,V=3000 L
Mass of toxic chemical=5 kg
Rate=200L/min
Removes chemical=50%
We have to find the differential equation for the time.
Let mass of toxic at any time t= m kg
Rate=Rate in-Rate out
Answer:
A, B, D, E
Step-by-step explanation:
X(x-20)=12000
x^2 - 20x = 12000
x^2 - 20x - 12000 = 0
(x - 120)(x + 100) = 0
x = -100, 120
so the width is 120 ft
What is the cost of the bond?
When you see that a bond was purchased "at 92", this means that the bond was purchased for 92% of the face value. Sometimes the bond purchaser will pay more than the face value (purchased a number greater than 100), generally if the interest rate is higher than the market rate.
The cost of one bond, then, is 92% of 1,000, or $920.
Since there are 6 bonds, the total cost is 920 x 6 = $5520
What is the total annual interest?
The annual interest is the interest rate on the bond times the face value (not the cost of the bond).
The interest rate is 6.5%, so the annual interest on one bond is:
6.5% x 1000 = $65
6 bonds: $65 x 6 = $390
When we think of yield, we want to consider the real return on the bond. This is the annual interest earned divided by what the purchaser paid for it.
The purchaser paid $5520 for the bonds, and is earning $390.
390 ÷ 5520 = 7.06%.
Note that we can also calculate the return on one bond, rather than the total cost and interest of 6 bonds, and get the same result.
65 ÷ 920 = 7.06%
Answer:
x = -27
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(5 • (x + 3)) - 4 • (x - 3) = 0
Step 2 :
Equation at the end of step 2 :
5 • (x + 3) - 4 • (x - 3) = 0
Step 3 :
Equation at the end of step 3 :
x + 27 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : x+27 = 0
Subtract 27 from both sides of the equation :
x = -27
One solution was found :
x = -27
Processing ends successfully
plz mark me as brainliest :)
