Number of shares
1050/10=105
After one year share value
10×(1+0.13)=11.3
After the second year share value
11.3×(1−0.05)=10.735
Total
10.735×105=1,127.175
Hello from MrBillDoesMath!
Answer:
sin(A) = k/c
sin(C) = k/a
Discussion:
By definition of sine
,
sin(A) = side opposite angle / hypotenuse = k/c
sin(C) = side opposite angle/ hypotenuse = k/a
Added remark:
From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.
asin(C) = csin(A) => divide both sides by "ac"
sin(C)/ c = sin(A)/a
Which is the law of sines for a triangle.
Thank you,
MrB
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
__
<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
