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:
Sam's assets increased by more than his liabilities.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
To find this, we need to find the points that are the steepest (or have larger slope). We have the points (2, 3), (4, 11), and (6, 23). The line that has (2, 3) and (4, 11) has a slope of 4, and the line with (4, 11) and (6, 23) has a slope of 6. Therefore the answer is D.
Note: Simple eyeballing will do the trick too!
Answer:
2πr is the formula to calculate
Step-by-step explanation:
Answer:
y = 3x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 7 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = 3 + c ⇒ c = 4 - 3 = 1
y = 3x + 1 ← equation of parallel line