Between x = 0 and x = 1, which function has a smaller average rate of change than y = 3x ?
1 answer:
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Answer: $ 3462.03
Step-by-step explanation:
The exponential equation for growth (compounded continuously) is given by :-
, where P= Present value
r= growth rate ( in decimal)
t= time
As per given , we have
P=$1900, r = 6% =0.06 and t= 10
Substitute all the values in the above equation , we get
[To the nearest cent]
Hence, the balance in the account after 10 years = $ 3462.03
Answer:
p(x) = 0.1x + 1
Step-by-step explanation:
Pressure at sea level = 1 atmosphere
Depth dove by Sydney = 23 meters
Pressure at a depth of 23 meters = 3.3 atmospheres
So,
Pressure at a depth of 23 meters = Pressure at sea level + k * Depth dove by Sydney
where k is the diving rate constant
=> 3.3 = 1 + k(23)
=> 3.3 = 23k + 1
Subtracting 1 from both the sides, we get
3.3 - 1 = 23k + 1 -1
Cancelling out the +1 and -1 from the right side, we get
2.3 = 23k
=> 23k = 2.3
Dividing both sides by 23, we get
Cancelling out the 23's from the top and bottom of the left side, we have
k = 0.1
Plugging in the value of k in the equation, we get
Pressure at a particular depth = Pressure at sea level + k * Depth dove by Sydney
p(x) = 1 + k(x) [where p(x) is the pressure at a depth x]
=> p(x) = 1 + 0.1(x)
=> p(x) = 0.1x + 1
Answer:
O A.
Step-by-step explanation:
To find the equation of the line, we need to know the slope and the y-intercept.
so, let's start by the slope. We need two points given in the graph.
(4, 5) and (-2, -3)
Then use the Slope-Formula to identify the Slope of the line.
m = slope
m = Slope Formula
m = subtract the second y from the first y / second x from first x
m = Turn the fraction to positive because two negatives = positi-
m = Simplify
m = Final Answer
The slope of the line is now what about the y-intercept?
The y-intercept is located at the y axis.
It determines how many units the graph goes up or down depending...
Well in this case, the y-intercept is negative because it is below on the yaxis
Then we must determine the y-intercept.
so we know is negative but it isn't exactly on a point so it is formed as a fra-
then we can determine it by seeing when it hits another unit (hard explainin)
y-intercept = -1/3
Final Answer: y =