A student paid 13% value added tax (VAT) after receiving 8% discount from the seller while purchasing a mobile set to participate in online class. If the student paid Rs. 10396 to purchase the mobile set, by how much the price paid by the student or the price marked by the seller is more? Find.​

Answer:

$4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.

Step-by-step explanation:

Given that a bank loaned out $ 8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest, and the total interest earned for both loans was $ 785.00, to determine how much was loaned at each rate you must perform the following calculation:

8,500 x 0.14 + 0 x 0.05 = 1,190

6,500 x 0.14 + 2,000 x 0.05 = 1,010

4,500 x 0.14 + 4,000 x 0.05 = 830

4,000 x 0.14 + 4,500 x 0.05 = 785

Thus, $ 4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.

Answer:

A) -1/3

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    m = -1/3

Answer:

x = 32

y = 4

x/y = 32/4 = 8

Hope it helps!

Answer: 6x-15

Step-by-step explanation: 3 times 2x equals 6x and 3 times -5 equals 15, which makes 6x-15

Answer:

6x-15

Step-by-step explanation:

Distributive property means that you would be distributing.

So, 3 · 2x = 6x

3 · -5 = -15

You cannot simplify any further, so the final answer is 6x - 15.

Let me know if you need further clarification, and if this helped, feel free to award a Brainliest :P

Answer:  Do you have a pic

Step-by-step explanation:

Answer:

ANSWER : 4

Step-by-step explanation:

hello :

tanA=7/2    means : A= tan^-1 (7/2) =74°

Answer:

Step-by-step explanation:

Answer:

0.336

Step-by-step explanation:

Here the mean is 83 min and the standard deviation is 33 minutes.  Note that

1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes.  So 97 minutes is above the mean and below 1 standard deviation above the mean.

What is the probability that the interval is BELOW 97 minutes?  If we find this, subtracting it from 1.000 results in the desired probability.

Using the Distribution key on my TI 83 Plus calculator, I get:

normalcdf(-100,97, 83,33) = 0.664.  

Subtracting this from 1.000 results in 0.336.

Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.

Answer:

24 [tex]\frac {3} {8}[/tex] m

Step-by-step explanation:

[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]

[tex]\frac{15x13}{2x4}[/tex]

Simplify

[tex]\frac{195}{8}[/tex]

Answer: 24 [tex]\frac{3}{8}[/tex] m

The area of the grass seed Jerome needs to cover is A = 34.375 m²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the grass seed needs to cover be A

Now , the area of the lawn L = ( 11 3/4 ) x 5 m²

The area of the lawn L = 58.75 m²

where the length of the pool l= ( 7 1/2 ) m = 7.5 m

The width of the pool is w = ( 3 1/4 ) m = 3.25 m

Now , Area of Rectangle = Length x Width

On simplifying , we get

Area of the pool P = 7.5 x 3.25 = 24.375 m²

Now , the area of the grass seed needs to cover A = L - P

The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²

The area of the grass seed needs to cover A = 34.375 m²

Therefore , the value of A is 34.375 m²

Hence , the area of the grass seed is 34.375 m²

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Answer:

hfcfkyhgctyirkgt,ckcikkccy

Step-by-step explanation:

Answer:

in 2hrs =  -6°C

in 5hrs = -15°C

in half an hr = -1.5°C

Step-by-step explanation:

in an hr, the temperature falls by 3°C = 0 -3 = -3°C

in 2hrs = 2*-3°C = -6°C

in 5hrs = 5*-3°C = -15°C

in half an hr = 0.5 * -3°C = -1.5°C

Step-by-step explanation:

Answer:

Wouldnt the temperture go up or down.. if its going up when in 2 hours the temperture would be at 6 degree and for 5 hours its would be at  15 degrees.

Step-by-step explanation:

3+2 5+3

Answer:

It is H

Step-by-step explanation:

Answer:

[tex]y = 10000 * 0.959^t[/tex]

Step-by-step explanation:

Given

[tex]a = 10000[/tex]

[tex]r = 4.1\%[/tex]

Required

Express as an exponential function [tex]y =ab^t[/tex]

First, we calculate the value of b;

Since the population decrease, then

[tex]b = 1 - r[/tex] --- This represents decrement of decay factor

Substitute [tex]r = 4.1\%[/tex]

[tex]b = 1- 4.1\%[/tex]

[tex]b = 0.959[/tex]

So:

[tex]y =ab^t[/tex] becomes

[tex]y = 10000 * 0.959^t[/tex]

9514 1404 393

Answer:

  (x, y) = ((√2)/2, (√2)/2))

Step-by-step explanation:

See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

Hello!

We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.

We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.

According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.

So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.

Hope this helps!

Step-by-step explanation:

side length(a)=5yd

slant height(l)=7yd

vertical height(h)=?

Now,

h2=(l)2+(a/2)2

h=find it

Then,

T.S.A.=a2+2al

Surface area of square pyramid is 95 square yard.

The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.

So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.

Given

Length = 5 yd

Slant height = 7 yd

Surface area of square pyramid = 4 (Area of triangle) +  area of square

S = [tex]4\frac{1}{2}bh+side^{2}[/tex]

S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]

S = 70 + 25

S = 95 square yard.

Hence, Surface area of square pyramid is 95 square yard.

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Answer:

1. -x+y

2. 3a -4b

3. 5g-3y+8

4.4g-4w

5.3x-4

6.1+2a

7. c

8. 6-3x-4y

9. -5h-3+3f

10. 0

b. simplify 2(x+3) +2(2x+7) to get

6x+20

c. 12x +6

srry for the wait :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

A1) 4x-5x+3y-2y

=-x+y

=y-x

2) 2a-3b-b+a

=2a+a-3b-b

=3a-4b

3) 6g-g+8-3y

=5g-3y+8

4) 3g+g-3w-w

=4g-4w

5) 4x+3-x-7

=4x-x+3-7

=3x-4

6) 4t+1-4t+2a

=4t-4t+1-2a

=1-2a

7) 6c+2+2c-2-7c

=8c-7c

8) 6-2x-5y-x+y

=6-3x-5y+y

=6-3x-4y

9)4h+3-h+3f-9h-5+h-1

=-6h-3+3f

=3f-6h-3

10) 1-x+y-2x-2y-1+3x+y

=0

B) The perimeter

= (2x+7)2+(x+3)2

=4x+14+2x+6

=6x+20

C) The perimeter

=3x+3+3x+1+x+2+x+(3x+3-x-2)+(3x+1-x)

=3x+3+3x+1+x+2+x+3x+3-x-2+3x+1-x

=12x+8

Answer:

It is the 3rd one 9/5y+9.

Answer:

H0 : μ = 3.2

H1 : μ > 3.2

1.982

We fail to reject the Null ;

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

Step-by-step explanation:

μ = average time taken by the previous contractor. ; μ = 3.2

H0 : μ = 3.2

H1 : μ > 3.2

Sample size, n = 12 ;

X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7

xbar = Σx / n = 53.2 / 12 = 4.43

Standard deviation, s ; using a calculator :

s = 2.15

B.)

The test statistic :

(xbar - μ) ÷ (s / sqrt(n))

(4.43 - 3.2) ÷ (2.15 / sqrt(12))

1.23 ÷ 0.62065

= 1.982

C.)

Decision Region :

If Pvalue < α ; Reject the null

α = 0.05

Pvalue :

P(x < 1.982) = 0.9762

0.9762 > 0.05 ; Hence, we fail to reject the Null

There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.

Answer:

Step-by-step explanation:

12 : 16

Both have 4 in common

3 : 4

72 : 96

Both have 12 in common

6 : 8

Both have 2 in common

3 : 4

So both the ratios are equivalent

Answer:

7) x=15.2643

8)  x=21.33

Step-by-step explanation:

7) 8²+13²=c²

64+169=c²

233=c²

c²=√233

c=15.2643

8) 11²+x²=24²

121+x²=576

x²=576-121

x²=455

x=√455

x=21.33

Answer:

20

Step-by-step explanation:

20 dollars plus 10% = 22

Answer:

2 * 2 * 5 * 5

Step-by-step explanation:

100 = 2 * 50

       = 2 * 2 * 25

       = 2 * 2 * 5 * 5

Answer:

I think the answer is b. I am not sure so if I was incorrect I apologize.

Step-by-step explanation:

Answer:

-2(4 - 1)

Step-by-step explanation:

Choice A: ❌

9-(-17)

9 + 17 = 26

Choice B: ❌

(4 - 16)/(-2)

(-12)/(-2)

6

Choice C: ✅

-2(4 - 1)

-2(3)

-6

Choice D: ❌

3 x (-2) x (-1)

-6 x (-1)

6

Answer:

- 2(4 - 1)

Step-by-step explanation:

9 - (- 17)

9 + 17 = 26

[tex]\frac{4 - 16}{-2}[/tex] = 12

- 2(4 - 1)

- 2(3) = - 6

3 × - 2 × - 1 = 6