Which of the following best explains why a firm that needs to borrow money would borrow at long-term rates when short-terms rates are lower than long-term rates? the use of short-term financing over long-term financing for a long-term project will increase the risk of the firm. the firm’s interest payments will be the same whether it uses short-term or long-term financing, so it is essentially indifferent to which type of financing it uses. a firm will only borrow at short-term rates when the yield curve is downward-sloping.

(c) A firm will only borrow at short-term rates when the yield curve is downward-sloping.

Explanation:

"While normal curves point to economic expansion, downward sloping (inverted) curves point to economic recession.

This yield curve is used as a benchmark for other debt in the market, such as mortgage rates or bank lending rates, and it is used to predict changes in economic output and growth. [...]  

A normal yield curve is one in which longer maturity bonds have a higher yield compared to shorter-term bonds due to the risks associated with time. An inverted yield curve is one in which the shorter-term yields are higher than the longer-term yields, which can be a sign of an upcoming recession. In a flat or humped yield curve, the shorter- and longer-term yields are very close to each other, which is also a predictor of an economic transition. "

Reference: Chen, James. “Yield Curve.” Investopedia, Investopedia, 9 Oct. 2019

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this