Jessica pharmacy has monthly sales of Birr 42,000. If the pharmacy is open for a year , calculate TOT or VAT???

To determine the volume of a cylinder, use the formula πr² x h where,

Given:

We can substitute the given values to the formula:

Answer:

Wxndy~~

Answer:

Yes

Step-by-step explanation:

2/2 can be simplified to 1. 8/8 can be simplified to 1. 1=1 so the fractions are equivalent.

Answer:

Yes

Step-by-step explanation:

2 is the same as 2 so it equals 1 same thing with 8/8because 8=8 and one and one are the same thing

Answer:

0.267

Step-by-step explanation:

4/15 as a decimal is 0.26 repeating so rounded to the nearest thousandth would be 0.267

Answer:

The solution to the recurrence relation is given by an = 2^(n+1) - 1.

Step-by-step explanation:

(a) To solve the recurrence relation an = an-2 + 4, with initial conditions a1 = 3 and a2 = 5, we'll consider two cases: one for when n is even and one for when n is odd.

For n even:

Substituting n = 2k (where k is a positive integer) into the recurrence relation, we get:

a2k = a2k-2 + 4

Now let's write out a few terms to observe the pattern:

a2 = a0 + 4

a4 = a2 + 4

a6 = a4 + 4

...

We notice that a2k = a0 + 4k for even values of k.

Using the initial condition a2 = 5, we can find a0:

a2 = a0 + 4(1)

5 = a0 + 4

a0 = 1

Therefore, for even values of n, the solution is given by an = 1 + 4k.

For n odd:

Substituting n = 2k + 1 (where k is a non-negative integer) into the recurrence relation, we get:

a2k+1 = a2k-1 + 4

Again, let's write out a few terms to observe the pattern:

a3 = a1 + 4

a5 = a3 + 4

a7 = a5 + 4

...

We see that a2k+1 = a1 + 4k for odd values of k.

Using the initial condition a1 = 3, we find:

a3 = a1 + 4(1)

a3 = 3 + 4

a3 = 7

Therefore, for odd values of n, the solution is given by an = 3 + 4k.

(b) To solve the recurrence relation an = 2an-1 + 1, with initial condition a1 = 1, we'll find a general expression for an.

Let's write out a few terms to observe the pattern:

a2 = 2a1 + 1

a3 = 2a2 + 1

a4 = 2a3 + 1

...

We can see that each term is one more than twice the previous term.

By substituting repeatedly, we can express an in terms of a1:

an = 2(2(2(...2(a1) + 1)...)) + 1

= 2^n * a1 + (2^n - 1)

Using the initial condition a1 = 1, we have:

an = 2^n * 1 + (2^n - 1)

= 2^n + 2^n - 1

= 2 * 2^n - 1

Therefore, the solution to the recurrence relation is given by an = 2^(n+1) - 1.

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

\(2(x+2)/x+1\)

Step-by-step explanation:

Answer:

2( x +2 )

x+1

Step-by-step explanation:

to add or subtract expressions expand them to make their denominators the same, multiply 1 time \(\frac{x-2}{x-2}\)

since \(\frac{x}{x-2}\) and \(\frac{x-2}{x-2}\) have the same denominators add them by adding their numerators

combine x + x -2

factor \(x^{2}\) - 4

to add or subtract expressions expand them and multiply by 1

have same denominator add them by adding their numerators

do the multiplications in 3 + ( x-2 )(x+2)

combine like terms in 3 + \(x^{2}\) + 2x - 2x -4

divide \(\frac{2x-2}{x-2}\) by \(\frac{-1 + x^{2} }{(x-2)(x+2) }\) multiplying \(\frac{2x-2}{x-2}\)

cancel out x-2 in both numerator and denominator

factor the expression that are not already factored

cancel out x-1  in both numerator and denominator

expand the expression

Answer:

304.5 cm2

Step-by-step explanation:

Think imaginatively, we got two congruent triangles and two rectangles with different dimensions.

S.A. of 2 triangles = 2*( 1/2 x B x H)

= 2*( 1/2 x 10.5 x 14) = 147 cm2

Rectangle 1 = 5*17.5 = 87.5 cm2

Rectangle 2 = 5*14 = 70 cm2

Total = 147 + 87.5 + 70 = 304.5 cm2

Answer:

c= 39.95 +0.15 (s + r) (take the 63 received and plug it in for r and 53.45 in for c then solve)

53.45= 39.95 +0.15 (s +63) (use the distributive property)

53.45 = 39.95 + 0.15s + 9.45 (combine like terms on the right side)

53.45 = 49.40 +0.15s (subtract 49.40 from both sides)

4.05 = 0.15s (divide both sides by 0.15 so isolate s)

s= 27 (how many text messages were sent)

Step-by-step explanation:

I hope this helps :)

Answer:

s=27

Step-by-step explanation:

In base 16, the numbers 10-15 are denoted by the letters a-f. So in the units place, we have

c₁₆ + e₁₆ = 12 + 14 = 16 + 10 = 1a₁₆

Carry the 1 to the next place value:

4₁₆ + c₁₆ + 1₁₆ = 4 + 12 + 1 = 16 + 1 = 11₁₆

Carry the 1:

d₁₆ + b₁₆ + 1₁₆ = 13 + 11 + 1 = 16 + 9 = 19₁₆

Carry the 1:

3₁₆ + 4₁₆ + 1₁₆ = 3 + 4 + 1 = 8₁₆

So, we end up with

3d4c₁₆ + 4bce₁₆ = 891a₁₆

Answer:

1. is equilateral and 2. is scalene

Step-by-step explanation:

Isosceles triangle is when it has 2 equal angles and sides

Scalene has all different angles and sides.

Answer: 6/8 or 3/4

Step-by-step explanation:

so you get (-20,-4) and (-12,-10) you do -4-10 witch is 6 then you do -20-12 witch is 8 you put 6 up top its your numerator and 8 on the bottom because its you denominator

The length of the missing side in the right triangle is 6.5

We can see that it is a right triangle, thus, we can use the Pythagorean's theorem.

It says that the sum of the squares of the legs is equal to the square of the hypotenuse.

So if x is the missing side, we can write:

x² + 3.6² = 7.4²

Solving that for x we will get.

x = √(7.4² - 3.6²) = 6.5

That is the length of the missing side.

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Answer: $10.16

Step-by-step explanation:

This is quite simple. We do not need much explaining. All we need to do is:

Add the total cost together

$4.48 + $0.88 + $1.24 + $3.56 = $10.16

Therefore, Sharift spent 10.16 dollars at the grocery store.

Answer:

$16.42

Step-by-step explanation:

Find all your costs:

4.48* 2 1/4= 10.08

0.88* 1 3/4= 1.54

1.24

3.56

Then add:

10.08+1.54+1.24+3.56= 16.42

Hope this helps! :)

Answer:

A) is 29.76 B) IS $54

Step-by-step explanation:

you have to times 24 x 24% = 5.76 then you add 24 + 5.76 =29.76

Answer:

your answer is C

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

no it is not a right angled triangle.

Step-by-step explanation:

forthetra

The antiderivative of a function f will be the integral of differentiated  value of the function i.e. the function itself.

What is Antiderivative of a function?

A function is said to be antiderivative if its derivative equals the original function. The antiderivative function is the same as an indefinite integral. The limit of a sum of terms f (x) x in the limit that approaches zero, where is the integrand function, is known as a definite integral.

Considering a function f(x) = Sin x

                                  dy/dx = Cos x

 Now, the integral of Cos x would be known as Anti derivative.

here, ∫ Cos x = Sin x

thus, Anti derivative of Cos x is equal to the function itself.

hence, proved.

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Answer:

You'll have a closed circle at x = 2, and shading to the left

See the diagram below

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

Explanation:

The fractions here are 3/7 and 21/2. The denominators of which are 7 and 2 respectively. The LCD is 7*2 = 14.

If we multiply both sides by 14, then this will clear out the denominators and make the fractions go away.

So if we multiplied both sides by 14, then we have these steps

\(\frac{3}{7}(35x-14) \le \frac{21x}{2}+3\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}+3\right)\\\\14*\frac{3}{7}(35x-14) \le 14*\left(\frac{21x}{2}\right)+14*\left(3\right)\\\\6(35x-14) \le 147x+42\\\\\)

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

Let's isolate x

\(6(35x-14) \le 147x+42\\\\6(35x)+6(-14) \le 147x+42\\\\210x-84 \le 147x+42\\\\210x-147x \le 42+84\\\\63x \le 126\\\\x \le 126/63\\\\x \le 2\\\\\)

The graph of this will consist of a closed or filled in circle at x = 2. We shade to the left to represent numbers smaller than 2.

So either x = 2 or x < 2.

If we used an open hole at 2, then we wouldn't be including 2 (but we want to include this endpoint).

See the diagram below.

Answer:

Sales Tax $2.55

Final Cost $36.55

Step-by-step explanation:

Finding sales tax

34 * 7.5%= 2.55

Multiply the tax with the original cost, that will be your sales tax

Finding final cost

34 + 2.55= 36.55

Add your sales tax with the original cost, now you have the final total

Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.

To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:

grad(f) = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

Here, f(x,y,z) = xy + yz + zx, so we have:

∂f/∂x = y + z

∂f/∂y = x + z

∂f/∂z = x + y

Thus, at P=(1,-1,-2), we have:

∇f(P) = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k

= (y+z)i + (x+z)j + (x+y)k

= (0+(-2))i + (1+(-2))j + (1+0)k

= -2i - 1j + 1k

Next, we need to find the unit vector in the direction of A:

|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7

u = A/|A| = (3/7)i + (2/7)j - (6/7)k

Finally, we can compute the directional derivative of f at P in the direction of A as:

(DAf) | 1(1,-1,-2) = ∇f(P) · u

= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k

= -6/7 - 2/7 - 6/7

= -2

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Answer:

Nathan

Step-by-step explanation:

4.76 / 2.5

= (476/100) / (25/10)

= (476/100) * (10/25)

= 238/125

= 1.904

Thus, Nathan is right in saying that the decimal is incorrectly placed in the quotient of the given answer 0.19

Answer:

could be wrong. but I belive its B

Step-by-step explanation:

7 X 2 = 14 x pi (3.14) = gives us 43.96. since its 4 tall. you would muiliply 43.96 x 4. it would give you 175.84.

here is the formula because I want you to understand this.

R = radius

D = 2 x radius

Pi = 3.14

C = circumference

C = Pi x (radius x 2)

Answer:

The answer is q and r

Step-by-step explanation:

The lines that are parallel are p and r.

Option A is the correct answer.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

There are four lines p, q, r, and s.

Now,

The lines p and r are parallel.

Thus,

p and r lines are parallel.

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Stratified Random Sampling method , was used to estimate the proportion of students at major universities who approve of the new health care law.

A simple random sample (SRS) of size n consists of n individuals from a population selected so that each set of individuals has an equal chance of being selected. Simple random samples of 200 out of 25,000 and 100 out of 5,000 graduate students are selected. The sampling method in the given question is stratified random sampling.

Stratified random sampling is a sampling method that involves dividing the population into smaller subgroups known as "strata". In stratified random sampling or stratification, strata are created based on common attributes or characteristics of members, such as income or educational attainment. Proportional Random Sampling is another name of name of Stratified Random Sampling.

When completing an analysis or research on a group of entities with similar characteristics, the researcher may find that the population size is too large to complete the research. To save time and money, the analyst may choose a more feasible approach by selecting a small group from the population. A small group is referred to as a " sample size ", which is a subset of the population used to represent the entire population. A sample can be selected from a population in a number of ways, one of which is the stratified random sampling method.

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The estimated answer of 40 is close to Keira's answer of 38.6. This suggests that her answer is reasonable.

One way Keira can check if her answer is reasonable is to use estimation.

She can round the numbers in the original division problem to the nearest multiples of 10, which makes the calculation easier, and check if the estimated answer is close to her actual answer. That is:

123.52 is approximately 120, and 3.2 is approximately 3. So the division problem becomes:

120 / 3 = 40

This estimated answer of 40 is close to Keira's answer of 38.6, which suggests that her answer is reasonable.

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The sequence showing the car's value over time can be expressed as follows: $22,250, $18,245, $14,960, $12,267, ...

Starting with the original purchase price of $22,250, the car's value depreciates by 18% each year. To calculate the subsequent values, we multiply the previous year's value by (1 - 0.18) or 0.82 (since depreciation is equivalent to 100% - 18% or 1 - 0.18).

For example, in the first year, the car's value would be $22,250 * 0.82 = $18,245. In the second year, we would multiply the previous year's value ($18,245) by 0.82 to get $14,960. This process continues for subsequent years, where each year's value is 82% of the previous year's value. The sequence provides a representation of the car's decreasing value over time due to depreciation.

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Answer:

x = 13

Step-by-step explanation:

The 2 angles same- side interior angles and sum to 180°

Then the equation to use to find x is

12x - 29 + 4x + 1 = 180

16x - 28 = 180 ( add 28 to both sides )

16x = 208 ( divide both sides by 16 )

x = 13

Answer:

13

Step-by-step explanation:

Angles ( 12x - 29 ) and ( 4x + 1 ) are co - interior angles.

Sum of co - interior angles are supplementary.

12x - 29 + 4x + 1 = 180

12x + 4x - 29 + 1 = 180

16x - 28 = 180

16x = 180 + 28

16x = 208

x = 208 / 16

x = 13

The class width of a frequency distribution is the difference between the upper class limit of a class and the lower class limit of the same class. In other words, it represents the range of data values included in a particular class.

For example, suppose we have a frequency distribution with the following classes: 0-9, 10-19, 20-29, 30-39, and 40-49.

The class width of this frequency distribution would be the same for all classes and would be equal to 10. This is because the upper class limit of each class is 9, 19, 29, 39, and 49, respectively, and the lower class limit of each class is 0, 10, 20, 30, and 40, respectively. Therefore, the difference between the upper class limit and lower class limit for each class is 9, 9, 9, 9, and 9, respectively, giving a class width of 10.

In the given problem, the first class is 10-19 and the second class is 20-29. Therefore, the lower class limit of the first class is 10 and the upper class limit of the second class is 29.

Therefore, the class width is the difference between the upper class limit of the second class (29) and the lower class limit of the first class (10), which is equal to 29 - 10 = 19.

So the correct answer is 19.

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.