Answer:
The one that is 0,-3 and 3,0
Step-by-step explanation:
Answer:
Slope = -2.000/2.000 = -1.000
x-intercept = 3/1 = 3.00000
y-intercept = 3/1 = 3.00000
Hello!
You can use the Pythagorean Theorem
C is the hypotenuse which is the line across the diameter
a and b are the other sides
You have to find the bottom side of the triangle
9 - 6 = 3
Put in the values you know
Square the numbers
Add
take the square root of both sides
The answer is
Hope this helps!
Answer:
A, or 16 gallons
Step-by-step explanation:
First, you have to analyze what the function means. It tells you that x is the number of minutes in the shower, so now we have y=3(minutes in shower). Logically, 3 has to be gallons per minute so that the equation makes sense, since you're multiplying 3 by minutes in the shower. It also uses the same phrasing in the beginning of the problem when it says "A standard shower head in Jen's house dispenses 5 gallons of water per minute." Now, it's 3 gallons of water per minute (x). That means y has to be overall gallons. So, now the equations is overall gallons=3 gallons per minute. If she uses the shower for 8 minutes we can plug in for x. So now the equation is overall gallons=3 gallons times 8 minutes, or overall gallons=24 gallons. With the new shower head, 24 gallons is used. Now to find for the old shower head. 5 gallons per minute times 8 minutes = 40 gallons. Now we subtract to find out how many gallons Jen saves each day. 40-24=16. She saves 16 gallons.
9514 1404 393
Answer:
- 10,247.38 from continuous compounding
- 10,228.50 from semiannual compounding
- continuous compounding earns more
Step-by-step explanation:
The formula for the account balance from continuously compounded interest at annual rate r for t years is ...
A = Pe^(rt) . . . . P = principal invested
A = 8820e^(0.05·3) ≈ 10,247.38 . . . continuous compounding
__
The formula for the account balance from interest compounded semiannually at annual rate r for t years is ...
A = P(1 +r/2)^(2t)
A = 8820(1 +.05/2)^(2·3) ≈ 10,228.50 . . . semiannual compounding
Continuous compounding earns more.
