Answer:
19
Step-by-step explanation:
2(8) + 3
16 + 3
19
The answer is 2285.92 in³.
STEP 1: Calculate the volume of the log: V1 = ?
STEP 2: Calculate the volume of the cylinder: V2 = ?
STEP 3: Subtract these two volumes to get <span> the volume of the remaining portion of the log: V = V1 - V2
The volume of a cylinder is:
V = </span>π · r² · h
(π = 3.14, r - radius, h - height)
It is given:
h1 = h2 = h = 28 in (height of the log is the same as the height of the cylinder)
r1 = 7.5 in
r2 = 5.5 in
STEP 1: Calculate the volume of the log: V1 = ?
V1 = π · r1² · h = 3.14 · 7.5² · 28 = 4945.5 in³
STEP 2: Calculate the volume of the cylinder: V2 = ?
V2 = π · r2² · h = 3.14 · 5.5² · 28 = 2659.58 in³
STEP 3: Subtract these two volumes to get the volume of the remaining portion of the log:
V = V1 - V2 = 4945.5 in³ - 2659.58 in³ = 2285.92 in³
First, find the eq'n of the line connecting (7,8) and (9,0). The slope of this line is m = rise / run = (0-8) / (9-7), or m = -8/2, or m = -4. Thus, the equation of this line is y-0 = -4(x-9), or y = -4x + 36.
We must now solve simultaneously the system y = -4x + 36, y = 2x - 10. Let's equate these to one another: -4x + 36 = 2x - 10. Thus, 46=6x, or 3x=23, or
x = 23/3. Subbing this value for x into y = 2x - 10 results in y = 2(23/3) - 30/3, or
y = 16/3. Thus, the solution is (23/3, 16/3). a=23/3 and b=16/3.
We are to compute a+b. This is a+b = 23/3 + 16/3, or 39/3, or 13 (answer).
The answer to this question is 60.
If you would like to know how much profit on each share did he make, you can calculate this using the following steps:
$12,000 / $8 = 1,500 shares
$15,000 / 1,500 shares = $10 per share
x% of $8 is $10
x/100 * 8 = 10 /*100/8
x = 10 * 100 / 8
x = 125%
125% - 100% = 25%
Miguel made 25% ($2) profit on each share.