The volume of the rectangular prism can be found with the formula
v= length × width × height
V = 10×10×30 = 3000
the volume of the triangular prism can be found with
v = 1/2(base×width×height)
v=1/2×30×9×10 = 1/2×2700
v = 1350
Now add the two volumes together for the total volume...
3000+1350 = 4,350 in^3
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Answer:
5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)
Step-by-step explanation:
5x^10 − 80x^2
The greatest common factor is 5x^2
5x^2 ( x^8 - 16)
Rewriting the parentheses
5x^2 ( x^4 ^2 - 4^2)
We notice the difference of squares (a^2 -b^2) = (a-b)(a+b)
5x^2 ( x^4 -4)(x^4+4)
Again rewriting the first parentheses
5x^2 ( x^2 ^2 -2^2)(x^4+4)
5x^2 ( x^2 -2)(x^2 +2)(x^4+4)
The last term can be rewritten as(x^2+2x+2)(x^2-2x+2)
5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)
Answer: yt
Step-by-step explanation:
If he starts paying after four years, the worth of the loans by then is b. $31,616.16
<h3>What is a Loan?</h3>
This refers to the amount collected from a lender to be repaid after a given time, usually with added interest.
Hence, we can see that:
The effective monthly interest rate is:
i = 0.053/12 = 0.0044
The effective annual interest rate is:
i = (1 + 0.0044)^12 -1 = 0.0543
The present worth of all the loans is:
P = 6125 + 6125 (1 + 0.0543)^-1 + 6125 (1 + 0.0543)^-2 + 6125(1 + 0.0543)^-3
P = $22,671.40
If he pays them prompty, then the total lifetime cost would be
P = 22671.40 (1 + 0.0543)^4 = $31,616.16
Read more about loans here:
brainly.com/question/2363571
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