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Lady_Fox [76]
3 years ago
12

Identify the transformation on the figure shown.

Mathematics
2 answers:
djyliett [7]3 years ago
8 0
The answer is C reflection over the X-axis
Karo-lina-s [1.5K]3 years ago
4 0
Reflection over x axis
C
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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
(-1,2) (5,-3) What is the slope of this equation
VashaNatasha [74]

Slope is the picture.

Point-slope form is y-2=-5/6*(x+1)

The y=mx+b is y=-5/6x+7/6

i hope its not confusing lol

4 0
3 years ago
Read 2 more answers
The first three terms in the binomial expansion of (a+b)^n in ascending powers of b, are p,q and r respectively. show that q^2/p
katen-ka-za [31]

First 3 terms are a^2 + n a^(n-)1 b + n(n-1)/2 * a^(n-2) b^2


So q^2 / pr = (n^2 * a^(2n-2) * b^2 ) / (1/2 * a^n * (n(n-1) * a^(n-2) * b^2 )


= n^2 * a^2n-2 * b^2

-----------------------------------

1/2 n(n-1) * a^(2n-2) * b^2


= 2n / n - 1 as required


given p = 4, q=32 and r = 96:-


32^2 / 4*96 = 2n / n-1

2n / n-1 = 8/3

6n = 8n - 8

2n = 8


n = 4 answer

7 0
3 years ago
A brick measures 30 cm × 10 cm × 7 1/2. How many bricks will be required for a wall 30 m long. 2 m high and 3/4 m thick?
Olenka [21]

Answer:

the answer is 45

Step-by-step explanation:

all you have to do is multiply 30*2*3/4

to get 45

5 0
4 years ago
PLS HELP WILL GIVE BRAINLIEST
Kaylis [27]

Answer:

I think the answer is B not 100% sure

Step-by-step explanation:

Sorry if its wrong which it probably is

6 0
2 years ago
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