Hello! I believe the answer is 27.71.
I hope this helps!
Given the original dimensions of:
2 1/2 ft, 3 ft and 1 1/2
After addition of 1/2 ft on both sides, the new dimensions will be:
3 1/2 ft, 4 ft, and 2 1/2 ft
thus the volume of the the prism will be:
Volume=length*width*height
V=3 1/2×4×2 1/2
V=35 ft³
Answer: 35 ft³
Answer:
regular polygon:
E & C
irregular polygon:
A & B
Not polygon:
D & F
Explanation:
<em>regular</em><em> polygon</em><em>:</em><em> </em>
has equal sides however the number of side and regular shape and it has equal angles between its sides. <em>"</em><em>ex"</em><em> </em><em>(</em><em>equilateral</em><em> </em><em>triangle</em><em>)</em>
as in figure C & E.
<em>Irregular</em><em> </em><em>polygon</em><em>:</em>
the opposite of regular polygon but both has a straight line all over the shape. as in figure B & A.
not a polygon:
it's may be a circle or a part of it.as in figure D & F.
Answer: 9.9 years
Step-by-step explanation:
We have an interest of 7.25%, compounded continuously, we can write this as:
P = A*e^(r*n)
where:
P is the total balance after n years.
A is the initial investment.
r is the ratio of increase, in the case of a continuous compound, this will be:
r = Ln(1 + 7.25%/100%) = Ln(1 + 0.0725) = 0.070
n is the time in years.
Then we want to have our initial investement doubled, this means:
P = 2*A
let's find n for this situation:
P = 2*A = A*e^(0.070*n)
2 = e^(0.070*n)
Now we can apply the Ln() to both sides, remember that:
Ln(e^x) = x
Then:
2 = e^(0.070*n)
Ln(2) = Ln(e^(0.070*n)) = 0.070*n
Ln(2)/0.070 = 9.9
So we need 9.9 years to double the initial investment.
