<span>
0.0392 or 3.92%</span>
The exponential growth formula can find the interest rate.
y - tolat value (P +I) (216)
a - principal (200)
r- rate (unkown)
x - time in years (2 yrs)
Substitute known values
divide both sides by 200
take the square root of both sides
subtract 1 on both sides
r = 0.0392 or 3.92%
Given:
Volume of the cone = π r² h/3
radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r
V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12
<u>Question:</u>
Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0
<u>Answer:</u>
The number of real solutions for the equation is zero
<u>Solution:</u>
For a Quadratic Equation of form : ---- eqn 1
The solution is
Now , the given Quadratic Equation is ---- eqn 2
On comparing Equation (1) and Equation(2), we get
a = 1 , b = 5 and c = 7
In , is called the discriminant of the quadratic equation
Its value determines the nature of roots
Now, here are the rules with discriminants:
1) D > 0; there are 2 real solutions in the equation
2) D = 0; there is 1 real solution in the equation
3) D < 0; there are no real solutions in the equation
Now let solve for given equation
Since -3 is less than 0, this means that there are 0 real solutions in this equation.
The answer is D, i.e. the system was solved via elimination
If you multiply the first equation by 5, the system becomes
If you sum the two equations, you get
And so if you substitute the second equation of system A with this new equation, you'll get system B.
Answer:
The least common factor is 18
Step-by-step explanation:
- what you need to do is subtract 56 - 38 = 18
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