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Mrac [35]
3 years ago
8

4(x + 3) − 7 ≥ x + 3(x + 1)

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

The interval notation is

(-∞,∞)

Hope this helps!!

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In which quadrant is the RED point? <br>This was due last week! HEEEEEEELP​
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Answer:

4th quadrant is the red point..

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3 years ago
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What the answer please help me i need it now I’ll mark brainleist.
Vesna [10]

Answer:

Step-by-step explanation:

slope is -7

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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 <u>298.87</u>.

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

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 ≈ <u>46.15 years</u>.

Learn more investment function here:

brainly.com/question/25300925

6 0
3 years ago
20.) Marc had to walk to the grocery store which was exactly 50 meters from his house. So far he has walked exactly 21 meters. W
Sloan [31]

Marc has walked 42 % of the journey

<h3>How to calculate the percentage ? </h3>

The total miles is 50 meters

Marc has walked for 21 meters

The percentage he has walked can be calculated as follows

= 21/50 × 100

= 0.42 × 100

= 42

Hence the percentage of mile Marc walked is 42%

Read more on percentage here

brainly.com/question/20340402?referrer=searchResults

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5 0
1 year ago
Find the matching statement?
Nesterboy [21]
1. F
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5. D
6. E
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