Answer:
10cm/s²
Step-by-step explanation:
Acceleration is the change in velocity of an object with respect to time.
Given velocity v(x) to be x³-2x+6
Acceleration = ∆v/∆x
Differentiating the velocity function to get acceleration we have,
Acceleration = dv/dt = 3x²-2
Acceleration of the particle at x = 2 will give;
dv/dt @ x = 2 is 3(2)²-2
= 12-2 = 10cm/s²
Answer:
2000
Step-by-step explanation:
Given the equation :
S=2000n+55000
Comparing the equation given to the standard linear equation formula :
y = mx + c
Where ; c = intercept ; m = slope ; y = dependent variable and x = independent variable
From The comparison, the slope of the equation given = 2000.
According to the context, the slope means that Camden salary will increase by 2000 each year.
Answer: $3,581
Step-by-step explanation:
As she plans to save from her net income, we have to find the net income first:
= Net income - Federal taxes - Social and Medicare taxes
= 33,000 - (33,000 * 20%) - (33,000 * 7.65%)
= $23,875.50
The savings will be:
= Net income * Savings percentage
= 23,875.50 * 15%
= $3,581.325
= $3,581
Answer:
Aimee can save $24 by buying tickets at the lower price that is at the theater.
Step-by-step explanation:
First, you need to find the amount she would spent by buying tickets at the theater and online by using a rule of three:
Theater:
60→8
x ←24
x=(60*24)/8=180
Online:
51→6
x ←24
x=(51*24)/6=204
Now, you need to calculate the difference:
$204-$180=$24
According to this, the answer is that Aimee can save $24 by buying tickets at the lower price that is at the theater.
