Final answer:
The diminishing-balance method is not the most common method for deprecating natural resources; it is false. Natural elements are not the sole source of comparative advantage; this is also false.
Step-by-step explanation:
The statement that the diminishing-balance method is the most common method of depreciation for natural resources is false. Instead, the method commonly used for the depletion of natural resources is the units-of-production method or the depletion method. This method allocates the cost of the natural resource based on the amount of resource extracted during the period.
Regarding the statement on the source of comparative advantage, it's false that it must be natural elements like climate and mineral deposits. Comparative advantage can stem from a variety of factors including technology, skilled labor force, and innovations, beyond just natural resources. The concept emphasizes the ability to produce goods and services at a lower opportunity cost, not just based on natural endowments.
As per the question on debt and interest payments, the statement that as debt increases, interest payments also rise, leading to a growing deficit even with constant government spending is true in nominal dollars. However, as a share of GDP, this isn't necessarily true as the GDP could grow at a faster rate than debt, thereby reducing the debt-to-GDP ratio.