On march 2, 2020, 20-year, 6 percent, general obligation serial bonds were issued by mossy county at the face amount of $3,000,000. interest of 6 percent per year is due semiannually on march 1 and september 1. the first principal payment of $150,000 is due on march 1, 2021. the county’s fiscal year-end is december 31. what amounts are reported as interest expense in the government-wide financial statements and interest expenditure in the debt service fund for 2020?

$150,000; $90,000

Explanation:

Interest Expenses for the year 2020 reported in the government-wide financial statements:

= Face Value × 6% × for 10 months

= $3,000,000 × 6% × 10/12

= $150,000

Interest Expenditure are to be reported in Debt Service Fund for 2020 is the actual amount paid on September 1:

= Face Value × 6% × ½ Semi annual interest

= $3,000,000 × 6% × ½

= $90,000

A) The reasonalbe domain to plot the graph is 0 ≤ d ≤ 11 (days)

B) The y-intercept of the graph of the function f(d) represents the radius of the algae when the biologist started her study

C) The average rate from d = 4 to d = 11 is:

Explanation:

Start writting the equation properly

Where f(d) is in mm, and d is number of days.

Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function?

The domain should be the whole numbers since the moment the study starts (d = 0) up to the moment the biologist concluded her study.

To determine the number of days elapsed, you solve the equation for d and find it when f(d) is 13.29mm

Therefore, the domain is 0 ≤ d ≤ 11 (days)

Part B: What does the y-intercept of the graph of the function f(d) represent?

The y-intercept of a function is the value of the function for which its graph intercepts the vertical axis.

That happens when the independent variable, d in this case, is equal to zero: f(0).

d = 0 represents the moment when the biologist started her study, meaning that f(0) is the radius of the algae when the study started

To find the y-intercept you make d = 0 in the equation and fin find f(0)

That is:

Then, the y-intercept, the radius of the algae when the biologist started her study, is 7 mm.

Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent?

The average rate of change of the function f(d) from d = 4 to d = 11 is:

That means that the radius of the algae increased an average of 0.6358mm per day from the fourth day until the last day of the study.