Answer:
320 messages
Step-by-step explanation:
20 messages per dollar,
20 x 16 equals 320
<span>Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal
to the x-coordinate of the vertex. </span>
<span>Note that a quadratic
equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at
h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5. </span>
<span>In order to calculate compounded interest, we use the formula: Final amount = initial amount x (increase rate)^(time periods). We know that the interest rate is 6%, so the factor we multiply by is 1.06. Moreover, the interest is compounded twice per year. This means that there will a total of 2 x 10 = 20 time periods over which the amount is compounded. Therefore, the final amount works out to be: Final amount = 200(1.06)^20, which is equivalent to $641.</span>
The Y^2 because 4 to the power of 2 would give you 4x4 which gives you 16
Answer:
Step-by-step explanation:
we know that
The area of the trapezoid is equal to
step 1
Find the measure of angle DAE
m∠ADC+m∠DAE=180° -----> by consecutive interior angles
we have
m∠ADC = 134°
substitute
134°+m∠DAE=180°
m∠DAE=180°-134°=46°
step 2
In the right triangle ADE
Find the length side AE
cos(∠DAE)=AE/AD
step 3
In the right triangle ADE
Find the length side DE
sin(∠DAE)=DE/AD
step 4
Find the area of ABCD
we have
substitute
