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4 years ago

Given the function f (x) = 4x + 5 evaluate f(-8)

Mathematics

1 answer:

nignag [31]4 years ago

6 0

Answer:

- 27

Step-by-step explanation:

Step 1:

f ( x ) = 4x + 5

Step 2:

f ( - 8 )

Step 3:

4 ( - 8 ) + 5

Step 4:

- 32 + 5

Answer:

- 27

Hope This Helps :)

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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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2 years ago

What is the z score of x=12 if it is two standard deviations to the right of the mean?

Tanzania [10]

The value of the Z-score will be equal to 2.

<h3>What is Z-score?</h3>

The z score indicates how many standard deviations your score is from the mean.

At the mean position, the standard deviation is 0 now the z score is the measure of the data which is how far from the mean. So the given data is at two standard deviations to the right of the mean so the Z-Score will be 2.

Therefore the value of the Z-score will be equal to 2.

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2 years ago

Solve 3x3-6. Graph the solution. A) B) C) D)

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The answer is D. Hope this helps

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2 years ago

There are eight furlongs in a mile and two weeks in a fortnight. If I travel 2800 furlongs in a fortnight, how many miles per da

katrin2010 [14]

Hello there! So, a fortnight is two weeks and two weeks is 14 days. You traveled 2,800 furlongs in two weeks. First off, let's divide the number of furlongs by the amount per mile. 2,800/8 is 350. That's 350 miles in two weeks. Now, we can divide 350 by 14 to find the amount traveled in 14 days. 350/14 is 25. There. You traveled 25 miles per day.

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3 years ago

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Help please and Brainly quit deleting their questions

svet-max [94.6K]

Answer:

Make:

Sunday 2 high

Monday 5 high

Tuesday 3 high

Wednesday 10 high

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Step-by-step explanation:

The table tells you where to put them. Just click the space above each day next to how much should be there.

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