Answer:
Area = 270π inches squared. Volume = 550π inches cubed
Step-by-step explanation:
Surface Area:
Cylinder Area=2πrh+2πr^2= 180π+50π=230π inches squared.
Cone Area = πr(r+√(h^2+r^2)) = 5π(18) = 90π inches squared.
Total Area = 230π+90π = 320π inches squared.
Total Area - base = 320π-50π = 270π inches squared.
Volume:
Cylinder volume = πr^2h = 450π inches cubed
Cone volume = πr^2(h/3) = 100π inches cubed
Total Volume = 550π inches cubed
P = $3,471.52, the principal
r = 3.1% = 0.031, annual ratr
n = 12, monthly compounding
t = 21 years
Note that n*t = 252.
The value after 21 years is
A = 3471.52*(1 + 0.031/12)²⁵²
= $6,650.91
The interest earned is
6650.91 - 3471.52 = 3179.39
Answer: $3,179.39
Answer:
D
Step-by-step explanation:
Put m+2 in place of 'x'
(m+2)^2 + 1 <======expand
m^2 + 4m + 4 + 1 =
m^2 + 4m + 5
Looks like y = |x| because the slopes of the lines are both 1
You shift it to the right making it |x-2| and you shift it down making y = -2
combine to get <em>y = |x - 2| - 2</em>.
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
