If the economy is initially at long-run equilibrium and aggregate demand declines, then in the long run the price level:
a. and output are higher than in the original long-run equilibrium.
b. and output are lower than in the original long-run equilibrium.
c. is lower and output is the same as the original long-run equilibrium.
d. is the same and output is lower than in the original long-run equilibrium.

The correct answer is option c.

Explanation:

In an economy, in the long run, the aggregate supply is fixed. The aggregate supply curve is a vertical line. This is because, in the long run, supply remains unaffected by price level. The increase in product price is balanced by an increase in input prices. So the supply does not change with change in the price level.  

In the long run, the supply changes with change in the availability of resources and change in technology. So when the aggregate demand declines, the demand curve shifts to the left. The equilibrium quantity remains the same but the price level declines.

It is also evident in the figure attached.

metallurgy is your answer

the "study of metals and the process of refining ("

note that it says metal. metallurgy has the word "metal" in it, and so is most likely your answer (and is your answer).

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of the three mortgage options that demarco and tanya have to choose from, the balloon payment mortgage would be their best option, over adjustable payment and fixed payment plans.ultimately, the balloon payment plan would save demarco and tanya overall, in interest, would cost less monthly, and they would only have to make these payments for 8 years, opposing to 30 years for adjustable or fixed payment plans. 

overall, demarco and tanya would save $80,811 if they chose balloon payments over fixed payments, and would save $116,711 if they choose balloon payments over adjustable payments. benefits with choosing fixed payments over adjustable payments is that, in the end, the payments will still be $836.30 a month, while with adjustable payments, the initial monthly payments will be $763.38 to $1082.70 a month, ultimately leading to a more costly purchase. benefits with choosing fixed payments over balloon payments are not present. benefits in choosing adjustable payments over is that it has a lower interest rate, and starts with lower monthly payments initially. benefits in choosing adjustable payments over balloon payments include a lower interest rate, and lower initial monthly payments. benefits in choosing balloon payments over fixed payments include lower interest rates, lower overall price, lower monthly payments, takes less time to pay off, and does not require a downpayment. benefits in choosing balloon payments over adjustable payments include, lower monthly payments (when averaged), takes less time to pay off, and lower overall price.

hence, option c, balloon payments, is the best option for demarco and tanya to make this purchase, for it will save them a minimum of $80811, and a maximum of $116,711.