Answer:
The principal is $2400
Step-by-step explanation:
Given




Required
The principal amount
The principal amount is the amount invested.
From the question, we understand that $24000 was invested.
Hence, the principal is $24000
If the square pyramid has side length 9 inches and volume of 270 inches cube then by putting the values within the formula of volume height are going to be 10 inches.
Given Length and volume of a square pyramid are 9 inches and 270 inches cube. Square pyramid is the pyramid having square base. It is a right square pyramid.
We know that the amount of square pyramid is 1/3 *
Put the values in formula to induce the values oh h.
Volume=1/3*
270=1/3* 81*h
h=(270*3)/81
h=810/81
h=10
Hence the peak of the square pyramid having length 9 inches and volume of 270 inches cube is 10 inches.
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Y= -6(negative six). 12 is smaller than 18 and 12+6 is 18 so you make it negitive
Answer:
B. The student incorrectly calculated the scale factor to be –2
Step-by-step explanation:
Given that :
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).
The student determined y to be -2
If a figure dilated with a center of (0, 0) and scale factor k, then
(x , y) → (kx , ky)
(4, -6) → (12, y)


k = 3
Thus; the scale factor is 3
Now; the y-coordinate can now be calculated as;
ky = (3 × -6)
ky = -18
Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.