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2 years ago

2.49 divied by 48 1/8 i will mark you brainlist

Mathematics

1 answer:

Monica [59]2 years ago

5 0

2.49 divied by 48 1/8

make 2.49 into an mixed number first

2 49/100.

make 2 49/100 into an improper fraction

Mutiply the whole number with the denominator

2*100= 200

Add 200 with the numerator. 200+49= 249

2 49/100= 249/100

48 1/8-make it into a improper fraction

48 1/8=385/8

249/100* 8/385

Answer: 0.05

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Pachacha [2.7K]

The capital formation of the investment function over a given period is the

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$I(t) = 100 \cdot e^{0.1 \cdot t}$

(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.

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