100cm<span>3
</span>Volume<span> of a </span>cuboid<span> = (length × width × height)
</span>4x5=20x5=100
Answer:
B
Step-by-step explanation:
Answer: he will have $12720 after 15 years
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $8000
r = 3.1% = 3.1/100 = 0.031
n = 12 because it was compounded 12 times in a year.
t = 15 years
Therefore,
A = 8000(1 + 0.031/12)^12 × 15
A = 8000(1 + 0.00258)^180
A = 8000(1.00258)^180
A = $12720
Answer:
512 inches ^2
Step-by-step explanation:
The surface area is found by
SA = 2(lw+wh+hl) where l is the length h is the height and w is the width
SA = 2( 8*8 + 8*12 + 12 * 8)
= 2(64+ 96+96)
= 2 ( 256)
= 512 inches ^2
Answer:
The answer to your question is (f°g)(x) = -5856x⁶ - 25529x⁴ -52710x² - 36220
Step-by-step explanation:
Data
f(x) = -12x³ + 19x² - 5
g(x) = 7x² + 15
find (f°g)(x)
Process
1.- Substitute g(x) in all the x of f(x)
(f°g)(x) = -12(7x² + 15)³ + 19(7x² + 15)² - 5
-Expand
(f°g)(x) = -12[4913x⁶ + 2205x⁴ + 4725x² + 3375] + 19(49x⁴ + 210x² + 225) - 5
-Simplify
(f°g)(x) = -58956x⁶ - 26460x⁴ - 56700x² - 40500 + 931x⁴ + 3990x² + 4275 -
5
-Result
(f°g)(x) = -5856x⁶ - 25529x⁴ -52710x² - 36220