Answer: Simple interest= Principal× rate× time/ 100
Amount= Simple interest + Principal
Step-by-step explanation:
Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:
![\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]](https://tex.z-dn.net/?f=%5Cleft%5B0%2C%5Cdfrac2n%5Cright%5D%2C%5Cleft%5B%5Cdfrac2n%2C%5Cdfrac4n%5Cright%5D%2C%5Cleft%5B%5Cdfrac4n%2C%5Cdfrac6n%5Cright%5D%2C%5Cldots%2C%5Cleft%5B%5Cdfrac%7B2%28n-1%29%7Dn%2C2%5Cright%5D)
Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

where
. Each interval has length
.
At these sampling points, the function takes on values of

We approximate the integral with the Riemann sum:

Recall that

so that the sum reduces to

Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:

Just to check:

Answer: y + 2 =
( x - 4 )
Step-by-step explanation:
The equation of a line in point - slope form is given as ;
y -
= m (x -
)
= 4
= -2
m = 
Substitute the values into the equation , we have
y - (-2) =
( x - 4 )
y + 2 =
( x - 4 )
Which could be written as :
y + 2 = y + 2 =
x + 2
Answer: 5'4".
Step-by-step explanation: Simply divide 64 by 12, resulting in 5.333. 4÷12 is .333, meaning the remaining inches is 4.
The answer is B.
14 + 15x
14 + 15(5)
14 + 75
89