Answer:
3
Step-by-step explanation:
10/4 = 2 1/2
2 1/2 + 2/4 = 3
Answer:
80 feet
Step-by-step explanation:
Given:
Initial speed of the car (
) = 40 ft/sec
Deceleration of the car (
) = -10 ft/sec²
Final speed of the car (
) = 0 ft/sec
Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.
Now, deceleration means rate of decrease of velocity.
So, 
Negative sign means the velocity is decreasing with time.
Now, 
using chain rule of differentiation. Therefore,
Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,
![\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft](https://tex.z-dn.net/?f=%5Cint%5Climits%5E0_%7B40%7D%20%7Bv%7D%20%5C%2C%20dv%3D%5Cint%5Climits%5Ex_0%20%7B-10%7D%20%5C%2C%20dx%5C%5C%5C%5C%5Cleft%20%5B%20%5Cfrac%7Bv%5E2%7D%7B2%7D%20%5Cright%20%5D_%7B40%7D%5E%7B0%7D%3D-10x%5C%5C%5C%5C-10x%3D%5Cfrac%7B0%7D%7B2%7D-%5Cfrac%7B1600%7D%7B2%7D%5C%5C%5C%5C10x%3D800%5C%5C%5C%5Cx%3D%5Cfrac%7B800%7D%7B10%7D%3D80%5C%20ft)
Therefore, the car travels a distance of 80 feet before stopping.
<u>Answer:</u>
Total paid = $717.3
Finance charge = $167.3
<u>Step-by-step explanation:</u>
The cost price of mountain bike = $550
The down payment on bike = 75% of $550 = 0.75 * 550 = $412.5
We know that he will make 12 payments of $25.40 each so total monthly payments = 12 * 25.40 = $304.8
The total amount paid = Down payment + Total monthly payments = $412.5 + $304.8 = $717.3
The finance charge = Total amount paid - Cost price = $717.3 - $550 = $167.3
Answer: These are all the answers written in Slope- Intercept Form
1. y = -1/5x + 1
2. y = -3/2x + 2
3. y = -2x +4
4. y = 2x - 3
5. y = 2x - 4
6. y = -3/4x + 1
7. y = 9/4x + 4
8. y = 2/5x - 2
9. y = -3/5x -5
10. y = 7x - 4
Step-by-step explanation: Have a nice day! ✌️
Answer:
1
Step-by-step explanation:
(x+y)^4-4 is just (x+y)^0 and anything to the power of 0 is just 1
