Answer:
Option B, 187.5 cm³
Step-by-step explanation:
Volume of the triangular prism,
base area × height
= (10×7.5/2)×5
= 187.5 cm³
Answer:
FV= $2,407.53
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,300
Interest rate (i)= 4.5% = 0.045
Number of periods (n)= 14 years
<u>To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:</u>
FV= PV*(1 + i)^n
FV= 1,300*(1.045^14)
FV= $2,407.53
Answer:
x = 13
Step-by-step explanation:
<em>sqrt (x-4) + 5 = 2</em>
<em>The equation is √(x+4) + 5 = 2</em>
√(x-4) = 2 - 5
√(x-4) = -3
x-4 = (-3)²
x-4 = 9
x = 9 + 4
x = 13
Therefore, the second option x = 13 is correct.
!!
Answer: Y=-1/4x
Step-by-step explanation:
A good way to find an equation of a line is to look for the slope. An obvious spot on this line would be when it crosses (0,0), and another one to the right would be when it crosses at (4,-1).
The slope is rise over run, or if we use the two points we found, "rise" would be -1, because it's dropping 1 unit when going from (0,0) to (4,-1), and the "run" would be 4, because it moves to the right 4 from (0,0) to (4,-1).
Putting these two values together we get:
m (slope) = rise / run
m = -1 / 4
Out of all the equations we're given, we can look for the one with a slope of -1/4, which is given to us:
y = (-1/4)x
Answer:
see explanation
Step-by-step explanation:
h(x) + k(x) = x² + 1 + x - 2 = x² + x - 1
(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5
h(x) - k(x) = x² + 1 - (x - 2) = x² + 1 - x + 2 = x² -x + 3
(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9
h(2) = 2² + 1 = 4 + 1 = 5
k(3) = 3 - 2 = 1
3h(2) + 2k(3) = (3 × 5) + (2 × 1) = 15 + 2 = 17
