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2 years ago

Write the value represented on the number line next to the letter

Mathematics

1 answer:

miss Akunina [59]2 years ago

8 0

Okay, I understand. You found the correct answer. I won't get points. Sniffle.Sniffle.

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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:

brainly.com/question/25300925

6 0

2 years ago

Please help! Thank you!

Bezzdna [24]

Answer

I know the answer but i can not write it all out so i will say the last one is greatest the next to last one is in the right spot and switch the first two

Step-by-step explanation:

Sorry couldn't help too much

8 0

3 years ago

I need help ASAP please (transforming functions)

Yuki888 [10]

Answer:

okay look at it this way:

Step-by-step explanation:

when you use a mirror and you look at the shape on both sides then you will see the -x which is basically on the same side but just a minus instead. Soo let's say you have to graph a coordinate of (2,4) y=2 and x=4 si you have to graph the normal plots and when you put it in the opposite sides the thing you only did was you just made a reflection of the shape just negative instead. hope you understand what I'm saying.

(reflective)

7 0

2 years ago

Read 2 more answers

Find the 15th term for the arithmetic sequence -3,3,9,...

vredina [299]

Answer:

your adding 6 each time so just find the 15th term

Step-by-step explanation:

-3 + 6= 3 and 3+6 = 9

6 0

2 years ago

In a survey of 200 professors at Gotham University, professors were asked, “Regarding your weight, do you think you are: About r

DochEvi [55]

The probability that a randomly selected professor is female and feels "About Right" is 0.40

The distribution table :

____About right _ Oweight _ Uweight __ Total

Female _ 80 _____ 39 ______ 3 _______ 122

Male ___ 52 _____ 10 ______ 16 _______ 88

Total ___ 132 ____ 49 ______ 19 _______ 200

Oweight = Overweight

Uweight = Underweight

Recall :

Probability = required outcome / Total possible outcomes

Probability that a selected professor is female and feels 'About right' :

Required outcome = number of female professors who feels 'About right' = 80

Total number of professors = 200

Hence,

P(Female and 'About right') = 80/200 = 0.40

Learn more : brainly.com/question/11234923

3 0

2 years ago