Answer:
y= 7703.5
Step-by-step explanation:
multiply 7100 by 1.085
Answer:
x 
9
Step-by-step explanation: i took a quiz with this on it
Answer:
-1
Step-by-step explanation:
dy/dt = y² − 1 = (y + 1) (y − 1)
At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.
As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.
As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.
An equation is formed of two equal expressions. The equation of the exponential graph is A=100(0.5)ˣ.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation of an exponential function is given by the formula,
y = A (B)ˣ
Now as per the graph, there are two points (1, 50) and (2, 25).
50 = A (B)¹
50 = AB
A = 50/B
Substitute another point in the equation,.
25 = A (B)²
25 = (50/B) (B)²
25 = 50B
B = 0.5
Substitute the value of B,
A = 50/0.5 = 100
Hence, the equation of the exponential graph is A=100(0.5)ˣ.
Learn more about Equation:
brainly.com/question/2263981
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Answer:
Ignacio can make 5 clockwise rotations.
Step-by-step explanation:
Given that the Ignacio's legs are already at a height of 49.3cm and each rotation of the chair knob raises his legs another 4.8cm, we can set up an inequality to determine the number of rotations Ignacio could make without his legs touching the desk, which is at a height of 74.5cm:
4.8r + 49.3 < 74.5 where 'r' is equal to the number of rotations
The sum of the Ignacio's original leg height plus the amount of height increased from the rotations of the know must be less than 74.5 in order for his legs not to touch. Now, solve for 'r':
Subtract 49.3 from both sides: 4.8r + 49.3 - 49.3 < 74.5 - 49.3 or 4.8r < 25.2
Divide 4.8 from both sides: 4.8r/4.8 < 25.2/4.8 or r < 5.25
Since the number of rotations must be less than 5.25, he can make 5 complete rotations.
