First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:
We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:
Therefore, Clara's house is located at (-2,0)
The answer is $16216987.55 (IMPORTANT: This is the answer assuming that the interest rate is annually. The quesiton says 'continuously' so I was a bit confused)
To solve this problem, you can use the compound interest formula.
Here it is once you plug in the numbers: A = 5,000,000 ( 1 + .04) ^30
Just solve the equation to find the solution.
let
x---------> Aviva’s age
y--------->Kanti’s age
z--------> Lakshmi’s age
we know that
y=x-3-----> equation 1
z=2*y-----> equation 2
substitute equation 1 in equation 2
z=2*(x-3)
so
Aviva’s age------> x
Kanti’s age-------> x-3
Lakshmi’s age----> 2*(x-3)
therefore
the answer is the option
b) 2(x-3)
F(x)=x-6 because -6 is the y value
2 yards = 6 feet
6 feet - 1.5 feet = 4.5 feet
The pipe was 4.5 feet long after being cut.
