Solve by substitution 3x+2y=-5, 2x-5y=-16
1 answer:
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Answer:
See attached image
Step-by-step explanation:
This equation for a parabola is given in vertex form, so it is very simple to extract the coordinates of its vertex, by using the opposite of the number that accompanies the variable "x" in the squared expression (opposite of 2) for the vertex's x-value, and the value of the constant (-6) for the vertex's y-value.
The vertex coordinates are therefore: (-2,-6)
The equation of the axis of symmetry of the parabola is a vertical line passing through the vertex. Since all vertical lines have the shape x = constant in our case, in order to pass through (-2,-6) the vertical line is defined by the equation: x = -2.
See image attached to find the vertex drawn as a red point, and the axis of symmetry as an orange vertical line passing through it.
Answer: 8.76%
Step-by-step explanation:
The formula to find the simple interest is given by :-
, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years). (1)
Given : Justin deposited $2,000 into an account 5 years ago.
i.e. P = $2,000 , t= 5 years
He has just withdrawn $2,876. i.e. Future value = $2,876
Interest (I)=$2,876-$2,000=$876 [Subtract Principal value from Future value]
Substitute all the above values of P , t , and I in the formula (1) , we get
In percent ,
Hence, the rate of interest = 8.76%