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2 years ago

A plane is an undefined term because it

Mathematics

1 answer:

horrorfan [7]2 years ago

5 0

A plane is an undefined term because:

Let us consider the options.

Option 1: can be named using three non collinear point.

This is not the correct answer because a plane is a flat, two-dimensional surface that extends infinitely far. Therefore, it is undefined because it is a flat surface that extends indefinitely in all directions.

Option 2: is described generally, not using a formal definition.

Option 3: is where other geometric shapes can be constructed.

Option 4: is a flat surface that extends indefinitely in all directions.

This is the correct answer as plane is a flat surface that extends indefinitely in all directions.

Therefore, option 4 is the correct answer.

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6. If the net investment function is given by

Pachacha [2.7K]

The capital formation of the investment function over a given period is the

accumulated capital for the period.

(a) The capital formation from the end of the second year to the end of the fifth year is approximately 298.87.

(b) The number of years before the capital stock exceeds $100,000 is approximately 46.15 years.

Reasons:

(a) The given investment function is presented as follows;

$I(t) = 100 \cdot e^{0.1 \cdot t}$

(a) The capital formation is given as follows;

$\displaystyle Capital = \int\limits {100 \cdot e^{0.1 \cdot t}} \, dt =1000 \cdot e^{0.1 \cdot t}} + C$

From the end of the second year to the end of the fifth year, we have;

The end of the second year can be taken as the beginning of the third year.

Therefore, for the three years; Year 3, year 4, and year 5, we have;

$\displaystyle Capital = \int\limits^5_3 {100 \cdot e^{0.1 \cdot t}} \, dt \approx 298.87$

The capital formation from the end of the second year to the end of the fifth year, C ≈ 298.87

(b) When the capital stock exceeds $100,000, we have;

$\displaystyle \mathbf{\left[1000 \cdot e^{0.1 \cdot t}} + C \right]^t_0} = 100,000$

Which gives;

$\displaystyle 1000 \cdot e^{0.1 \cdot t}} - 1000 = 100,000$

$\displaystyle \mathbf{1000 \cdot e^{0.1 \cdot t}}} = 100,000 + 1000 = 101,000$

$\displaystyle e^{0.1 \cdot t}} = 101$

$\displaystyle t = \frac{ln(101)}{0.1} \approx 46.15$

The number of years before the capital stock exceeds $100,000 ≈ 46.15 years.

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6 0

1 year ago

These two pygons are similar. Z=what

marta [7]

Answer:

I am not 100% about this, but I think that Z=46 Y=30 and X=45

Step-by-step explanation:

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2 years ago