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:
y = 2/3x - 3
Step-by-step explanation:
Answer:
Part A:
For number 1, the bus drives non-linear. It is not a constant rate but it is increasing.
For number 2, the bus is at a stopping point.
For number 3, the bus drives in a non-linear rate but it still increasing.
For number 4, the bus is at its last stop, the middle of the bus ride, the peak of the time.
For number 5, the bus comes to a non-linear decrease in the route. and eventually the end.
Part B:
The bus is increasing in numbers 1 and 3, and decreasing for number 5, and at a constant at numbers 2 and 4.
Part C:
The graph is non-linear, as the slope is not at a constant.
Answer:
30.667 inches of string
Step-by-step explanation: