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Travka [436]
3 years ago
12

In a certain state, there are currently 5,902,060 acres of farmland. This area is decreasing at a rate of 4.3% every year. Selec

t the correct equation that models the situation after t years.
Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

y=5,902,060*(.957)^t

Step-by-step explanation:

Since the original amount would be decreasing and it's an exponential one, hence the "every year", we can determine that it's an exponential decay equation.

The exponential delay equation is y=A*(1-r)^t. The y is the remaining amount, A is the original amount, r is the rate in decimal form, and t is for years. "1-r" is for decreasing rates and "1+r" is for increasing rates.

First thing we need to do is turn the rate, 4.3%, from a percentage to a decimal. You can do this by moving the decimal two places to the right, which gives you 0.043.

Now plug the numbers into the equation.

y=5,902,060*(1-0.043)^t

Simplify what's inside the parenthesis and get your final equation.

y=5,902,060*(.957)^t

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<u>ANSWER:  </u>

The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).

<u>SOLUTION: </u>

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Let us first solve the above equations using <em>elimination process. </em>

For elimination, one of the coefficients of variables has to be same in order to cancel them.

Now solve (1) and (2)

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(-) ----------------------------

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<u><em>Now let us solve using substitution process.</em></u>

Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17

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