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Scrat [10]
3 years ago
15

Given a consumption function of c = $25 + 0.75yd, the average propensity to consume equals 1 when disposable income equals

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

Answer: Disposable income = $100.

Explanation:

Since we have given that

C=\$25+0.75Y

And, average propensity to consume = 1

i.e. APC = 1

As we know the formula of APC ,

APC=\frac{C}{Y}=1\\\\\implies C=Y

So, our equation becomes,

Y=\$25+0.75Y\\\\Y-0.75Y=\$25\\\\0.25Y=\$25\\\\y=\frac{25}{0.25}\\\\Y=100

Hence, Disposable income = $100.

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Answer:

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Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}

we use the following formula

                                             \sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }

Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

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Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

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