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julia-pushkina [17]
3 years ago
15

What is 0.1x30 I need help for this problem in math

Mathematics
2 answers:
lilavasa [31]3 years ago
6 0

Answer:

3

Step-by-step explanation:

spin [16.1K]3 years ago
3 0

Answer:

3

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 <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
2 years ago
(3,y) (1,4) m= -2 what is the value of y if the line through the two given points is to have indicated slope
riadik2000 [5.3K]

Answer:

y=0

Step-by-step explanation:

The equation for the slope is

m = ( y2-y1)/(x2-x1)

-2 = (4-y)/(1-3)

-2 = (4-y)/-2

Multiply each side by -2

4 = 4-y

Subtract 4 from each side

4-4 = 4-y-4

0 = -y

0=y

5 0
3 years ago
A restaurant chef made 4 1/2 pints of mushroom soup Each bowl of soup holds 1/2 of pint. How many bowls of soup will.the chef be
Jlenok [28]

Answer:

4 2/4

Step-by-step explanation:

4 1/2 + 1/2 = 4 2/4

i just added em up

7 0
3 years ago
Read 2 more answers
Which of the following ordered pairs is a possible solution to the equation y=1/2x+3 ?
GaryK [48]
Y=3 The answer is a.
5 0
3 years ago
Samuel hughs sold $7,300 worth of merchandise at 12% commission. find the amount of commission
Sever21 [200]
So you are given the amount he sold which is $7300, and you are given his commission rate so all you have to do is this

7300 x 0.12 = 876

Therefore, his amount of commission is 876 dollars
4 0
3 years ago
Read 2 more answers
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