✅ Balance refers to the amount available after adding or subtracting to it (He checked his account balance to see what was left). 

✅ Remainder denotes what is left after removing or subtracting but can also apply to what is left over in other instances (The remainder of the cake was stored in the fridge). 

✅ Both terms can describe what is left after a portion has been removed or changed.

✅ Balance can imply an ongoing calculation, while remainder specifically refers to what is left after a process or division (High-yield interest payments keep adding to my savings account balance; The remainder of the year will be more profitable due to holiday sales).

✅ A creek is a small stream or a narrow waterway (The children played by the creek near their house).

✅ A rivulet refers to a very small stream or brook (A tiny rivulet trickled down the hillside). 

✅ Both words describe small flowing bodies of water. 

✅ Creek is a more commonly used term for small streams, while rivulet is often used for even smaller, less significant streams (The creek was wide enough for a small boat; I was able to cross the rivulet in two steps).

✅ Safely means in a manner free from danger or harm (He drove safely through the snowstorm). 

✅ Securely means firmly or tightly fastened or protected (The box was securely locked). 

✅ Both words refer to being protected from potential harm or risk. 

✅ Safely often pertains to avoiding danger or ensuring protection, while securely focuses on physical stability or security (The safely guarded vault was never breached; The cans of food were stored securely on the shelves).