Step-by-step explanation:
step 1. let's call the balance A, the initial amount P, the yearly rate r, the number of compounds yearly n, and the time t.
step 2. A = P(1 + r/n)^(nt) (compounding equation)
step 3. A = 8500(1 + .0178/12)^((12)(10))
step 4. A = 8500(1.00148334)^120
step 5. A = $10,154.68.
Answer: <em>6.6 meters a week</em>
Step-by-step explanation:
<em>This problem is quite simple</em>
<em>You take 80 and divide it by 12</em>
<em>80/12 </em>
<em>which equals</em>
<em>6.6</em>
Answer:

Step-by-step explanation:
Vertex form of a quadratic equation;

Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;

Now substitute in the given point; ( -1, 9) and solve for a;

Hence the equation in vertex form is;

In standard form it is;

Answer:the size of the button hole is 2.35 cm
Step-by-step explanation:
For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.
The formula for determining the circumference of a circle is expressed as
Circumference = πd or 2πr
Where
d represents the diameter of the circle
π is a constant given as 3.14
From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be
d = circumference/π = 7.38/3.14
d = 2.35 cm
The rate of change of the linear function represented by the table is 3
<h3>Rate of change of a function</h3>
The rate of change of a function is also known as the slope of a function. The equation for calculating the slope is expressed as:
Slope = y2-y1/x2-x1
using the coordinates from the table (-2, -13) and (-1, -10)
Substitute
Slope = -10-(-13)/-1-(-2)
Slope = -10+13/-1+2
Slope =3
Hence the rate of change of the linear function represented by the table is 3
Learn more on rate of change here: brainly.com/question/25184007
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