The county debt is growing at an annual rate of 3.5%. what percent rate is it growing at per 2 years? per 5
years? per decade? show the calculations that lead to each answer. round each to the nearest tenth of a
percent.

7.1225% per 2 years

18.77% per 5 years

41.06% per decade

Step-by-step explanation:

Suppose the the county debt is growing at an anual rate of x%.

After t years, the debt will be:

In the formula, x goes as a decimal value.

In this problem, we have that:

Debt growing at a rate of 3.5% per year. So

Per 2 years

The debt after 2 years will be

The initial debt is D(0) = 1.

So it will have grown 1.071225 - 1 = 0.071225 = 7.1225% per 2 years.

Per 5 years

The debt after 5 years will be

The initial debt is D(0) = 1.

So it will have grown 1.1877 - 1 = 0.1877 = 18.77% per 5 years.

Per decade

The debt after 10 years will be

The initial debt is D(0) = 1.

So it will have grown 1.4106 - 1 = 0.4106 = 41.06% per decade.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.