Answer:
lies between 163.245 and 199.975
Step-by-step explanation:
Given
2 digit = 4#
Required
The range of
Let
--- the smallest possible value of #
So:
Let
--- the largest possible value of #
So:
<em>Hence, </em><em> lies between 163.245 and 199.975</em>
Answer:
$19,747.96
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below:
<em>A = total</em>
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 5.5% into a decimal:
5.5% -> -> 0.055
Next, plug in the values into the equation:
After 5 years, you will have $19,747.96
Answer:
V = 34,13*π cubic units
Step-by-step explanation: See Annex
We find the common points of the two curves, solving the system of equations:
y² = 2*x x = 2*y ⇒ y = x/2
(x/2)² = 2*x
x²/4 = 2*x
x = 2*4 x = 8 and y = 8/2 y = 4
Then point P ( 8 ; 4 )
The other point Q is Q ( 0; 0)
From these two points, we get the integration limits for dy ( 0 , 4 )are the integration limits.
Now with the help of geogebra we have: In the annex segment ABCD is dy then
V = π *∫₀⁴ (R² - r² ) *dy = π *∫₀⁴ (2*y)² - (y²/2)² dy = π * ∫₀⁴ [(4y²) - y⁴/4 ] dy
V = π * [(4/3)y³ - (1/20)y⁵] |₀⁴
V = π * [ (4/3)*4³ - 0 - 1/20)*1024 + 0 )
V = π * [256/3 - 51,20]
V = 34,13*π cubic units
