Split up the interval [0, 3] into 3 equally spaced subintervals of length 
. So we have the partition
[0, 1] U [1, 2] U [2, 3]
The left endpoint of the 
-th subinterval is
where 
.
Then the area is given by the definite integral and approximated by the left-hand Riemann sum
Answer: Positive Quadratic
Step-by-step explanation: A positive quadratic will have a minimum value, whereas a negative quadratic will have a maximum value
Answer: See explanation.
Step-by-step explanation:
Let's assume that you have a System of two equations. You can solve this System using the Substitution Method.
In order to use that method to solve the System of equations, you can follow the steps shown below:
Step 1: You must choose one of the equations of the system and solve for one of the variables. Let's call this new equation "Equation A"
Step 2: Then you must substitute"Equation A" into the other equation.
Step 3: Now you must solve for the other variable in order to find its value.
Step 4: Finally, you need to substitute the value of the variable obtained in the previous step, into the "Equation A" and then evaluate in order to find the value of the other varibale.
(Note: You can also substitute the value of the variable calculated in Step 3 into any original equation and solve for the other variable to find its value).
Compound interest formula = a=P(1+r/n)^nt
P= lump sum to deposit (solving for)
A= amount accumulated over the entire time (20000)
n= number of times interest is compounded annually (1)
r= rate of interest (0.82)
T= total number of years (15)
20000=P(1+0.082/1)^1*15
20000=P(1.082)^15
20000=P(3.26143638)
20000/3.26143638=P
P=$6132.2674
Answer:
Tyler should buy 2 goldfishes for his fish tank,
Step-by-step explanation:
First let's find the volume of the sphere, using the following equation:
The radius is half the diameter, so the radius is 14/2 = 7 inches
Now, finding the volume, we have:
Now, we know that we need to have 1 goldfish for every 693 in3 of water, so to find the number of goldfishes, we just need to divide the volume of the sphere by 693 (and round down the result if needed):
Tyler should buy 2 goldfishes for his fish tank,
