Answer:
The final velocity v is 21.74 m/s.
Step-by-step explanation:
Given:

To find:

Solution:
As we know the third equation of motion is represented as

Substituting the values u, a and s in the above equation we get


We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

Where:

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

Now we substitute the values:

Now we solve the operations, we get:

Therefore, the present value must be $39462.50
Answer: 4.500
Step-by-step explanation:
4x - 18 = 2 • (2x - 9)
2 = 0
2x-9 = 0
2x = 9
x = 9/2 = 4.500
208c + 52v = 5460
v = c + 10
where c = the price for a car rental and v = the price for a van rental.
To solve this system, use substitution; the second equation says v is equal to c + 10, so plug in "c + 10" for v in the first equation and solve for c:
208c + 52(c + 10) = 5460
208c + 52c + 520 = 5460
260c + 520 = 5460
260c = 4940
c = 19
Now that we have c, we can plug it in to the second equation to find v:
v = (19) + 10
v = 29
So, c = 19 and v = 29, meaning that
The cost of a car rental is $19 and the cost of a van rental is $29.