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zhannawk [14.2K]

2 years ago

6

The marked price of a camera is Rs.45000. If 15% discount is allowed and then 10% VAT is leived on it, Find the selling price of

the camera. ( the answer should be Rs.43222.5) but I can't get the answer

1 answer:

anygoal [31]2 years ago

8 0

Answer:

42,075

Step-by-step explanation:

45,000 x [(100-15%)/100] = 38,250

38250 x [(100+10%)/100] = 42,075

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What type of exponential function is f(x)=0.6(2.4)^x ?

Vsevolod [243]

Answer:

<em>The function is of an exponential growth type</em>

<em>Rate of change is 240%</em>

Step-by-step explanation:

<u>Exponential Function</u>

The expression of an exponential function is

$f(x)=c.a^{bx}$

For a,b,c constants.

1.

The function will be of an exponential growth type if, when x increases, f increases. That behavior comes from the combination of the three constants a,b,c. The best approach to find that out is by taking the first derivative

$f'(x)=b.c.lna.a^{bx}$

Since $a^{bx}$ is always positive, the product of b.c.lna must be positive to make f increasing. For example, if a>1 and both b and c are of the same sign, f increases for all x. If 0<a<1, then, since lna<0, the product b.c must be negative, i.e. both should have different signs

The function is expressed as

$f(x)=0.6\ 2.4^x$

we can see a>1, b and c are positive, so the function is of an exponential growth type.

2.

Talking about rates change of real functions takes us to the derivative function. We have already seen the derivative is dependent on all three constants and also of the value of x, so it cannot be predicted as a fixed percentage.

Now, if we picture the function as the general term of a sequence, where x can only take natural values, we can say

$\displaystyle \frac{0.6(2.4)^{x+1}}{0.6(2.4)^{x}}=2.4$

Each term is obtained as the previous term by 2.4. It's accurate to say the rate of change is 240%

3 0

3 years ago

Read 2 more answers

Need help with AP CAL

anzhelika [568]

Answer: Choice C

$\displaystyle \frac{1}{2}\left(1 - \frac{1}{e^2}\right)$

============================================================

Explanation:

The graph is shown below. The base of the 3D solid is the blue region. It spans from x = 0 to x = 1. It's also above the x axis, and below the curve $y = e^{-x}$

Think of the blue region as the floor of this weirdly shaped 3D room.

We're told that the cross sections are perpendicular to the x axis and each cross section is a square. The side length of each square is $e^{-x}$ where 0 < x < 1

Let's compute the area of each general cross section.

$\text{area} = (\text{side})^2\\\\\text{area} = (e^{-x})^2\\\\\text{area} = e^{-2x}\\\\$

We'll be integrating infinitely many of these infinitely thin square slabs to find the volume of the 3D shape. Think of it like stacking concrete blocks together, except the blocks are side by side (instead of on top of each other). Or you can think of it like a row of square books of varying sizes. The books are very very thin.

This is what we want to compute

$\displaystyle \int_{0}^{1}e^{-2x}dx\\\\$

Apply a u-substitution

u = -2x

du/dx = -2

du = -2dx

dx = du/(-2)

dx = -0.5du

Also, don't forget to change the limits of integration

If x = 0, then u = -2x = -2(0) = 0
If x = 1, then u = -2x = -2(1) = -2

This means,

$\displaystyle \int_{0}^{1}e^{-2x}dx = \int_{0}^{-2}e^{u}(-0.5du) = 0.5\int_{-2}^{0}e^{u}du\\\\\\$

I used the rule that $\displaystyle \int_{a}^{b}f(x)dx = -\int_{b}^{a}f(x)dx$ which says swapping the limits of integration will have us swap the sign out front.

--------

Furthermore,

$\displaystyle 0.5\int_{-2}^{0}e^{u}du = \frac{1}{2}\left[e^u+C\right]_{-2}^{0}\\\\\\= \frac{1}{2}\left[(e^0+C)-(e^{-2}+C)\right]\\\\\\= \frac{1}{2}\left[1 - \frac{1}{e^2}\right]$

In short,

$\displaystyle \int_{0}^{1}e^{-2x}dx = \frac{1}{2}\left[1 - \frac{1}{e^2}\right]$

This points us to choice C as the final answer.

5 0

1 year ago

Choose yes or no for both of these will give brainliest

Dmitriy789 [7]

Answer:

Yes

No

I hope this helps!

-Mikayla

7 0

2 years ago

Read 2 more answers

Solve the conjunction and describe the solution set.

BaLLatris [955]

-5 ≤ 3m + 1 < 4
- 1 - 1 - 1
-6 ≤ 3m < 3
3 3 3
-2 ≤ m < 1

Solution Set: {m|-2 ≤ m < 1}, {m|m ≥ -2 and m < 1}, [-2, 1)

The answer is A.

7 0

3 years ago

Find the Area and Perimeter!

olga_2 [115]

Area of a triangle is 1/2 x base x height.

base = 12

Height = x+6

Area = 1/2 * 12 * x+6

Area = 1/2 * 12x * 72

Area = 6x + 36

Perimeter is the sum of the 3 sides:

x-7 + 12 + 2x+5

3x -2 + 12

3x+10

The last choice is the correct answer.

7 0

2 years ago