Answer: 100*(1.032)^t which can be written as 
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Explanation:
b = value of cup after t years
t = time in years (eg: t = 2 means 2 years have passed by)
The value starts at b = 100. After year 1, the value jumps up by 3.2% so we multiply the value $100 by 1.032 which is the proper multiplier to help increase by 3.2%; to see this, notice how 100% + 3.2% = 1 + 0.032 = 1.032
After 2 years, the value jumps another 3.2% so we have another copy of 1.032 multiplied. Then for 3 years, we'll have 3 copies of 1.032 multiplied. And so on.
For t years, we'll have t copies of 1.032 as the multiplier. So we will multiply the initial value 100 by (1.032)^t
That is why the equation is
b = 100*(1.032)^t
which can be written as 
Answer:

Step-by-step explanation:
Tangent to y-axis means that the side of the circle TOUCHES the y axis.
Since the center is at (-7,2) and it touches the y axis, we can figure out the radius. It goes from (-7,2) to y-axis. Horizontally, the center is 7 units left of y-axis, so that is the radius ----- 7 units
The standard form of a circle is:

Where
(h,k) is the center
r is the radius
Putting the information into the form, we have:

THis is the standard form.
This is an area problem where the area of a circle is pi*r^2.
A quiche with a diameter of 12 has an area of pi*6^2 = 36pi
So if it can feed 6 people, then the serving size per person is 6pi per person.
A quiche with a diameter of 10 inches has an area of pi*5^2 = 25pi
If each person requires 6pi worth of quiche, then 25pi/6pi = 4 1/6 people.
So yes, it can serve 4 people.
Answer:
- 1.2+15.45=14.43
Step-by-step explanation:
The answer is x = 15
The equation would be x + 2 = 17