Answer:
(a) 4.152698
(b) 3.215557
Step-by-step explanation:
(a)
n=4, so :
Each subinterval has length :
Therefore the subintervals consist of:
![[1,5], [5,9], [9,13]](https://tex.z-dn.net/?f=%5B1%2C5%5D%2C%20%5B5%2C9%5D%2C%20%5B9%2C13%5D)
Now, the midpoints of these subintervals are:
Hence:
(b)
n=4, so :
Each subinterval has length :
Therefore the subintervals consist of:
[1,5], [5,9], [9,13]
The endpoints of the subintervals consist of:
5,9
Hence:
Answer:
$14.39
Step-by-step explanation:
The formula for continuous compounding of interest is:
A = Pe^(rt), were P is the initial dollar amount, A is the final amount, r is the interest rate as a decimal fraction, and t is the time in years.
Here we have $2109 = $500e^(10r) and need to solve for r.
To do this, take the natural log of both sides, obtaining:
ln 2109 = ln 500+ 10r.
Then 10r = ln 2109 - ln 500, and
ln 2109 - ln 500
r = --------------------------------------------
10
= .1439
The interest rate was 14.39%.
You would add up the length of all sides to get the area.
Answer:
infinite solutions
Step-by-step explanation:
-9(x+3) +12 = -3(2x+5)-3x
Distribute
-9x-27 +12 = -6x-15-3x
Combine like terms
-9x -15 = -9x-15
Add 9x to each side
-9x-15+9x = -9x-15+9x
-15 = -15
This is a true statement so it is true for all x
Answer:
F=ma where m=mass and a=acceleration
F=7kgx2.5m/s^2
F=17.5N
