2. 1.25
4. 1.75
3. 1.2555
1. 1.2
Ones: All digits in the ones are the same
Tenths: 7 is greater than two.
Area of a triangle=1/2(base x height)
Area=72, Base=8, Height=2x-3
Plug it in.
72=1/2(8 x (2x-3))
72=1/2(16x-24)
72=8x-12
84=8x
x=10.5
First thing the formula is slightly mistated.
it should be
A=P(1+r/n)nt (you had rt fo the exponent and it should be nt
now lets solve this thing
you want A = 2P (double your money
2P = P(1+r/n)nt
we can divide through by P adn put in the values we know
2 = (1+.085/2)2t
2 = (1.0425)2t
and now we can take the log of both sides to make it easy to solve our equation
log(2) = 2tlog(1.0425)
.301 = 2t (.018)
divide both sides by .018
16.653 = 2t
t = 8.327 (number of years to double your money at this rate
check it
(1.0425)16.653 =2
The original equation:
Integral of csc(5x)
Use a u sub:
u = 5x
du = 5dx
Simplify the du:
Apply to the equation:
Integral csc(u)
du
Simplify:
Integral
du
Factor out the constant:
Integral
du
Use a second Substitution:
v = tan(
)
du =
dv
Applying to the equation:
Simplify:
Integrate:
Insert back in your v and u:
v = tan(
)
u = 5x
This gives us the final equation (don't forget your constant):
(Thank you for making me write it out, I made a mistake on the original answer.)