Amount in the bank account = 1000(1 + 0.05)^5 = $1,276.28
Answer:
The desired point is thus (-1/2, -5).
Step-by-step explanation:
The x-component of this directed line segment is 2 - (-8), or 10, and the y-component is -7 - (1), or -8. This segment is in Quadrant II, since the x-component is positive and the y-component is negative.
The point of interest is (3/4) of the way in the positive x-direction from x = -8. We can express this symbolically as -8 + (3/4)(10), or -8 + 7.5, or -1/2.
The point of interest is 3/4 of the way in the negative y direction from 1, or:
1 + (3/4)(-8), or 1 - 6, or -5.
The desired point is thus (-1/2, -5).
E/(c^2) = mc^2/(c^2)
m = E/(c^2)
Answer:
288 small fish.
Step-by-step explanation:
The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:
a = l * w * h
l = 6
w = 4
h = 4
Replacing
a = 6 * 4 * 4
a = 96 cubic feet
they tell us that per cubic foot there is room for 3 small fish, therefore:
96 * 3 = 288
Which means that there are 288 small fish.
Answer:
12a + 24 = 6(2a + 4) is the equivalent expressions
Step-by-step explanation:
Given the terms ; 4, 12a, 6, 2a, and 24
There are two terms with unknown = 12a and 2a
but 12a = 2a x 6 .........(1)
from the last term = 24 = 6 x 4 ...........(2)
add both equation 1 and 2 = 12a + 24
12a + 24 = 6(2a + 4) is the equivalent expressions .
to VERIFY; Use a = 2
substitute into the expression ; LHS = RHS
= 12(2) + 24 = 24 + 24 = 48 (LHS)
FOR RHS = 6(2a+4) = 6(2x2 + 4)
= 6(4+4) = 48
Hence LHS = RHS
