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3 years ago

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Mathematics

1 answer:

liubo4ka [24]3 years ago

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Answer:

?? Where IS THE PICTUREEE

Step-by-step explanation:

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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.

Learn more investment function here:

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3 years ago

Elena is baking her famous pumpkin pie. She wants to know how much flour she needs

taurus [48]

For one pie , she will use 2.3 cups of flour .

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Use the interactive number line to help complete each exercise. Place points at -1 and -4. Complete the inequality: -1 -4. Place

Sliva [168]

Question might not be complete

Answer and explanation:

The signs -1 and -4 lie on the negative side of the number line, left of zero(positive right of zero).

The opposites for each number would be +1 and +4 which would all be on the right side of zero on the number line

Inequality signs or statements to represent greater and lesser number on the number line using the numbers above as examples would be:

-1<+1

-4<-1

+1>-1

+1<4

-1-4<1+4

Numbers that don't have signs attached to them are automatically positive numbers

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Determine the domain and range of the given function.

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Please help!!!!! I’ll mark you as brainliest!!!!!!

MArishka [77]

I believe the answer is c

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