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2 years ago

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If the average price level decreases,

Advanced Placement (AP)

1 answer:

Alex787 [66]2 years ago

7 0

Answer:

The intuition behind the real wealth effect is that when the price level decreases, it takes less money to buy goods and services. The money you have is now worth more and you feel wealthier. So, in response to a decrease in the price level, real GDP will increase.

Explanation:

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seraphim [82]

Answer:

$y = -3x +1$

Explanation:

Given

$y = x^3 + 3x^2 + 2$

Required

Determine the equation at the point of inflection

The point of inflection of a curve is the point where the second derivative is 0.

So:

$y = x^3 + 3x^2 + 2$

First derivative is:

$y' = 3x^2 + 6x$

Second derivative:

$y" = 6x + 6$

Equate to 0

$6x + 6 = 0$

Solve for x

$6x = -6$

$x = -1$

Next, we calculate the slope (m) of the point using the first derivative.

Substitute -1 for x in $y' = 3x^2 + 6x$

$m = 3*-1^2 + 6 * -1$

$m = 3*1 - 6$

$m = 3 - 6$

$m = -3$

To get the y equivalent;

Substitute $x = -1$ in $y = x^3 + 3x^2 + 2$

$y = (-1)^3 + 3(-1)^2 + 2$

$y = -1 + 3+ 2$

$y = 4$

Lastly, we calculate the line equation using:

$y - y_1 =m(x- x_1)$

Where

$x = -1$ and $y = 4$

$m = -3$

So, we have:

$y - 4 = -3(x -(-1))$

$y - 4 = -3(x +1)$

$y - 4 = -3x -3$

Make y the subject

$y = -3x -3 +4$

$y = -3x +1$

<em>Hence, the equation is: </em> $y = -3x +1$ <em></em>

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