interface IRatesManager {
  function a() external view returns (IAddressProvider);

  //current annualized borrow rate
  function annualizedBorrowRate(uint256 _currentBorrowRate) external pure returns (uint256);

  //uses current cumulative rate to calculate totalDebt based on baseDebt at time T0
  function calculateDebt(uint256 _baseDebt, uint256 _cumulativeRate) external pure returns (uint256);

  //uses current cumulative rate to calculate baseDebt at time T0
  function calculateBaseDebt(uint256 _debt, uint256 _cumulativeRate) external pure returns (uint256);

  //calculate a new cumulative rate
  function calculateCumulativeRate(
    uint256 _borrowRate,
    uint256 _cumulativeRate,
    uint256 _timeElapsed
  ) external view returns (uint256);
}
function calculateBaseDebt(uint256 _debt, uint256 _cumulativeRate) external pure returns (uint256);

//uses current cumulative rate to calculate baseDebt at time T0