Answer:
Step-by-step explanation:
It is due because you multiply the powers
5*4=20 4*5 =20
the result in both cases is 3 to the 20th power
Answer:
Expression D has the least value
Answer: $54.00
<u>Step-by-step explanation:</u>
I = Prt
I is interest earned: <u> unknown </u>
P is the principal (amount you invested): <u> 50 </u>
r is the rate: 9% = <u> 0.09 </u>
t is the length of time: <u> 12 </u>
I = 50(0.09)(12)
= 50(1.08)
= 54.00
9514 1404 393
Answer:
160 cm³
Step-by-step explanation:
The ratio of the linear dimensions is the square root of the ratio of areas:
scale factor B/A= √(64/144) = 8/12 = 2/3
The ratio of volumes is the cube of the scale factor:
(volume B)/(volume A) = (2/3)³ = 8/27
Then the volume of pyramid B is ...
volume B = (volume A) × (volume B)/(volume A)
= (540 cm³) × (8/27) = 160 cm³ . . . . volume of pyramid B
_____
Equivalently, the ratio of volumes is the 3/2 power of the ratio of areas.
Vb = Va(64/144)^(3/2) = (540 cm³)(4/9)^(3/2) = (540)(8/27) cm³ = 160 cm³
<span>numerical expression</span>
