Answer:
3.5%
Step-by-step explanation:
Interest = 10100 - 8000 or 2100
I = Prt
2100 = 8000(9/12)r
2100 = 600r
2100/600 = r
3.5 = r
The general equation with quadratic equation is “ax^2 + bx + c = 0”. Therefore, this equation can be standardized to “x^2 - 7x - 8 = 0”
U = ( -8 , -8)
v = (-1 , 2 )
<span>the magnitude of vector projection of u onto v =
</span><span>dot product of u and v over the magnitude of v = (u . v )/ ll v ll
</span>
<span>ll v ll = √(-1² + 2²) = √5
</span>
u . v = ( -8 , -8) . ( -1 , 2) = -8*-1+2*-8 = -8
∴ <span>(u . v )/ ll v ll = -8/√5</span>
∴ the vector projection of u onto v = [(u . v )/ ll v ll] * [<span>v/ ll v ll]
</span>
<span> = [-8/√5] * (-1,2)/√5 = ( 8/5 , -16/5 )
</span>
The other orthogonal component = u - ( 8/5 , -16/5 )
= (-8 , -8 ) - <span> ( 8/5 , -16/5 ) = (-48/5 , -24/5 )
</span>
So, u <span>as a sum of two orthogonal vectors will be
</span>
u = ( 8/5 , -16/5 ) + <span>(-48/5 , -24/5 )</span>
Answer:
Option D. A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left
Step-by-step explanation:
we have
Divide the compound inequality into two inequalities
-----> inequality A
Multiply by -1 both sides
Divide by 5 both sides
The solution of inequality A is the interval ----> (-∞,10]
All real numbers less than or equal to 10
-----> inequality B
Multiply by -1 both sides
Divide by 5 both sides
Rewrite
The solution of the inequality B is the interval ----> (4,∞)
All real numbers greater than 4
The solution of the compound inequality is
(-∞,10] ∩ (4,∞)= (4,10]
All real numbers greater than 4 and less than or equal to 10
A number line with an open circle on 4 with shading to the right and a closed circle on 10 with shading to the left
Answer:
15 m
Step-by-step explanation:
First split the shape into a square and a triangle, then find the area of the square by multipliyng the sides to get.
Next find the length of the traignel by subtracting 3 from 9 to get for then find the area of the triangle by multiplying 4 by 3 to get 12 then divide by 2 to get the area which is 6.
Finally add the 9 to the 6 to get 15
3 * 3 = 9
9 - 3 = 4
4 * 3 = 12/2 = 6
6+9=15
