find interest and amount to be paid on ₹15000 at 5% per annum after 2 years

Answer:

The coefficients are b and a

The coefficients in the expression are 3 and 7.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

9 - 4 + 3b + 7a

So, from the given expression we can see that there are 4 terms, 2 constants and 2 coefficients.

The coefficient of b is 3,

and coefficient of a is 7.

So, there are 2 coefficients in the given expression.

Thus, the coefficients in the expression are 3 and 7.

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Answer:

  (-3, 5), (-1, -1), (5, -3)

Step-by-step explanation:

Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.

Given points are ...

  A(-2, 2), B(1, 1), C(2, -2)

For AB a diagonal, D1 is ...

  A+B-C = (-2+1-2, 2+1-(-2)) = (-3, 5)

For AC a diagonal, D2 is ...

  A+C-B = (-2+2-1, 2-2-1) = (-1, -1)

For BC a diagonal, D3 is ...

  B+C-A = (1+2-(-2), 1-2-2) = (5, -3)

_____

For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.

Answer:

Answer:

 (-3, 5), (-1, -1), (5, -3)

Step-by-step explanation:

Each pair of vertices can be one of the diagonals. Then the missing point will be found at the coordinates that are the sum of those, less the coordinates of the third point.

Given points are ...

 A(-2, 2), B(1, 1), C(2, -2)

For AB a diagonal, D1 is ...

 A+B-C = (-2+1-2, 2+1-(-2)) = (-3, 5)

For AC a diagonal, D2 is ...

 A+C-B = (-2+2-1, 2-2-1) = (-1, -1)

For BC a diagonal, D3 is ...

 B+C-A = (1+2-(-2), 1-2-2) = (5, -3)

_____

For a lot of parallelogram problems I find it easiest to work with the fact that the diagonals bisect each other. This means they both have the same midpoint, so for quadrilateral ABCD, we have (A+C)/2 = (B+D)/2. Multiplying this by 2 gives the equation we used above, A+C = B+D, so D=A+C-B. Remember, in ABCD, AC and BD are the diagonals.

Thanks for everything have a good day

Answer:

27 :)

Step-by-step explanation:

$27 it D

Step-by-step explanation:

Answer:

tan−1(StartFraction 12 Over 5 EndFraction) = x

Step-by-step explanation:

The measure of the angle x in the right triangle ABC is equal to

Scenario A) Using cos

Cos x=adjacent/hypotenuse

=AC/AB

=5/13

x=cos x^-1=5/13

Scenario B) using sin

Sin x=opposite/hypotenuse

=BC/AB

=12/13

x=sin x^-1=12/13

Scenario C). Using tan

tan x=opposite/adjacent

=BC/AC

=12/5

x=tan x^-1=12/5

tan−1(StartFraction 12 Over 5 EndFraction) = x

The correct answer is option B which is [tex]tan^-1(\dfrac{12}{5})=x[/tex]

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

The measure of the angle x in the right triangle ABC is equal to

Scenario A)

Using cos

Cos x =adjacent/hypotenuse

Cos x = AC/AB

Cos x = 5/13

x = cos x^-1 = 5/13

Scenario B)

using sin

Sin x = opposite/hypotenuse

Sin x = BC/AB

Sin x = 12/13

x=sin x^-1=12/13

Scenario C).

Using tan

tan x =opposite/adjacent

tan x =BC/AC

tan x =12/5

x = tan x^-1=12/5

From the figure attached, we can see that the angle BAC will be[tex]tan^-1(\dfrac{12}{5})=x[/tex].

Therefore the correct answer is option B which is [tex]tan^-1(\dfrac{12}{5})=x[/tex]

The complete image of the triangle is attached with the answer below.

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Answer:

The answer is option B.

Step-by-step explanation:

The prime number is 2

Since 1 + 1 = 2

And 1 is an odd number

Hope this helps you

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

Answer:

15d + 50 = 125

15d = 75

5 days

Step-by-step explanation:

Her total must equal $125.

She has $50 so far.

50 + _____ = 125

In the blank, we will put what she will earn by walking the dogs.

Each day she will earn $15. In d number of days, she will earn 15d.

The equation is:

50 + 15d = 125

15d + 50 = 125

We can subtract 50 from both sides to get

15d = 75

Now we solve the equation to find the number of days.

We divide both sides by 15.

15d/15 = 75/15

d = 5

She will need to walk the dogs for 5 days.

B, A, C are the answers

Answer:

Mean value = 55.5

Step-by-step explanation:

Y = 5X1 + 3X2 + 9X3

CASE 1:

X1 = 2, X2 = 5, X3 = 0

Y = 5(2) +3(5) + 9(0) = 10 + 15 + 0 = 25

CASE 2:

X1 = 4, X2 = 10, X3 = 4

Y = 5(4) + 3(10) + 9(4) = 20+30+36 = 86

The mean value of Y is (25 + 86)/2 = 55.5

The variance from the mean is 30.5

Answer: x=5, y=7

Step-by-step explanation:

Since ΔEFG and ΔHIJ are congruent, we can set the corresponding sides equal to each other.

y+14=3y                               [subtract both sides by y]

14=2y                                   [divide both sides by 2]

y=7

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

10x=x+45                            [subtract both sides by x]

9x=45                                 [divide both sides by 9]

x=5

Answer:

$26.70/hour

Step-by-step explanation:

Let's look at 1 day.

She works a 12 hour shift. For the first 8 hours, she receives her regular hourly salary. That means 8 hours of pay at her regular hourly salary.

Then she works another 4 hours at her overtime pay. Her overtime pay is twice her regular salary, so the extra 4 hours at overtime pay are paid as if they were 8 hours of regular work. In effect, she is earning 16 hours of regular pay per day.

Monday through Friday means 5 days of work per week.

5 days/week * 16 hours/day = 80 hours/week

She is earning as if she were working 80 hours of regular pay per week.

base salary = (gross weekly income)/(effective number of hours in 1 week)

base salary = $2136/80

base salary = $26.70/hour

Answer:

25%

Step-by-step explanation:

You set up the proportion 108.75/145 is x/100 to find out what percentage of 145 108.75 is. You can then use this proportion to find that percentage with cross multiplying, by doing this you get the equation 108.75 times 100 is equal to 145x. Then you simplify to get 10,875=145x. Then you solve like regular by dividing both sides by 145 to get x=75. Now we know that 108.75 is 75% of 145, but we aren't done yet. Now in order to find the discount price you subtract 75 from 100 to get 25, so you're finding the difference between 100 and the x-value we just found. The final answer is 25%

Answer:

Hey there!

90 mins= 1 hr 30 mins.

4:15+ 1 hr 30 mins= 5:45

The rainstorm ended at 5:45 PM

Hope this helps!

Answer:

[tex]\boxed {8 \times 58}[/tex]

Answer D is correct

Step-by-step explanation:

Twice a certain number is 58

[tex]\red {2 \times 58}[/tex]

Four times that number will be

[tex]\green{ 2\times 58 \times 4 }\\ = 8 \times 58[/tex]

Answer:

The answer you are looking for is 8 time 58 or D

Step-by-step explanation:

Hope this helped

Answer:

5

Step-by-step explanation:

You can express this as a system of equations:

x in this instance will be her present age.

x + 8 = 2x + 3

simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.

Answer: 64

Step-by-step explanation:

From the question, we are informed that Lisa is currently taking physics as one of her electives in school and that her grade at the end of the year is determined by the average of four exams, each worth 100 points.

First test = 84,

Second test = 92

Third test = 80

Forth test = y

The fourth test is denoted by y.

Since we are told that she must get exactly 80% in the course and she took 4 exams, that means her total score will be: = 80 × 4 = 320

Therefore,

84 + 92 + 80 + y = 320

256 + y = 320

y = 320 - 256

y = 64

The fourth exam's score is 64

Answer:

12

Step-by-step explanation:

because if she has 8 more red cubes that yellow than that would mean it would become 12

Answer:

20-8=12

Step-by-step explanation:

let the red cubes be x,

total cubes=20

yellow cubes=x+8

according to question,

x+8=20

x=20-8

x=12

hence, sam has 12 cubes

Answer:

Stepdkdkdndd-by-step explanation:

Answer:

Number of Other flavor candy is 84.

Step-by-step explanation:

Given that

A total of 560 pieces of candy are there in the box.

[tex]\frac{4}{5}[/tex] of the pieces are fruity.

Number of Fruity pieces:

[tex]\dfrac{4}{5} \times 560\\\Rightarrow 4 \times 112 =448[/tex]

Now, remaining pieces = Total pieces - Fruity pieces

remaining pieces = 560 - 448 = 112

Also given that [tex]\frac{1}4[/tex] of the remaining pieces are mind.

Number of mint pieces:

[tex]\dfrac{1}{4}\times 112 = 28[/tex]

Other flavors remaining = Total pieces - Fruity pieces - Mint pieces

Other flavors remaining = 560 - 448 - 28

Other flavors remaining = 112 - 28 = 84

Number of Other flavor candy is 84.

Answer:

-4

Step-by-step explanation:

-1.5 (4-r) = -12   Distribute the -1.5.  

-6 - 1.5r = -12   Add 6 to both sides.

-1.5r = 6  Divide both sides by -1.5.

r = -4

Answer:

[tex] \boxed{\sf r = - 4} [/tex]

Step-by-step explanation:

[tex] \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4[/tex]

Answer:

2π/3, 7π/3 and 19π/3 are the reference angles.

Step-by-step explanation:

Given the angle π/3, the reference angle to this angle is the angle similar to the given angle.

The angle similar to the angle is derived by adding 2πk to each resulting angle where k is integers from 1 and above

Given initial angle of π/3

The following are the reference angles:

When k = 1

theta(k) = π/3 + 2πk

theta(1) = π/3 + 2π(1)

=(π+6π)/3

= 7π/3

When k = 2

theta(2) = π/3 + 2π(2)

= π/3 + 4π

=(π+12π)/3

= 13π/3

When k = 3

theta(2) = π/3 + 2π(3)

= π/3 + 6π

=(π+18π)/3

= 19π/3

Note that π-theta is also a reference angle where theta us the given angle.

π-theta= π-π/3

= 3π-π/3

= 2π/3

From the calculation above, 2π/3, 7π/3 and 19π/3 are the reference angles.

Answer:

π/3 is the reference angle for 2π/3, 7π/3, and 19π/3

Answer:  Use a tree diagram for conditional probability

The first branch lists the elements in the starting field-- how many items or outcomes. Like heads or tails, how many of each color of marbles or socks, etc. The next branch shows the set of outcomes from the first event and what is available for the next event. The branches are labeled with fractions to tell the chances of each outcome.

Step-by-step explanation:

A tree diagram is good for determining probability when there are multiple steps in the "draw" and multiple outcomes-- sometimes chances of event a and b "this and that" or event a or b "this or that"

You use the fractions on each branch to calculate the final outcome. If it's a and b, you multiply the fractions on each "trail" you follow through the branches to get the defined final outcome.

If it is a or b, you add the fractions to get the probability of the defined final outcome.

Answer:

Solution,

Diameter(d)= 16.4 miles

Radius(r)= 16.4/2= 8.2

Circumference of the given circle= ?

Now,

Circumference of circle:

[tex]2\pi \: r[/tex]

= 2 * 3.14 * 8.2

= 51.496

= 51.5 miles

Hope this helps...

Good luck on your assignment..

Answer:

51.5 miles

Solution,

Diameter(d)= 16.4 miles

Radius(r)= 16.4/2= 8.2

Circumference of the given circle= ?

Now,

Circumference of circle:

= 2 * 3.14 * 8.2

= 51.496

= 51.5 miles

Answer:

1 and 2 have already been done.

See below for the answers  to 4 to 6.

Step-by-step explanation:

7.  Finding the limit as x --> 2 of the function:

(2^(x + 2) - 16) / (4^x -16)

= 4(2^x - 4) / (2^x -4)(2^x + 4)

=  4 / (2^x + 4)

When x = 2 this = 4/8 = 0.5

The limit is the same whether you approach 2 from below or above.

So k = 0.5.

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Workers at a certain soda drink factory collected data on the volumes​ (in ounces) of a simple random sample of 18 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.14 oz, and they appear to be from a normally distributed population.

If the workers want the filling process to work so that almost all cans have volumes between 12.02 oz and 12.66 ​oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.16 oz. Use the sample data to test the claim that the population of volumes has a standard deviation less than 0.16 oz. Use a 0.01 significance level. Complete parts​ (a) through​ (d) below.

a. Identify the null and alternative hypotheses.  

b. Compute the test statistic.

c. Find the p-value.

d. State the conclusion.

Answer:

Null hypotheses = H₀: σ = 0.16  oz

Alternate hypotheses = H₁: σ < 0.16  oz

Critical value = 6.408

Chi-square value = [tex]\chi^2[/tex] = 13.016

Reject H₀  Since [tex]\chi^2[/tex] > Critical value

Reject H₀ Since p-value ≤ α

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

Step-by-step explanation:

Set up hypotheses:

The null hypotheses is that the population of volumes has a standard deviation of 0.16 oz

Null hypotheses = H₀: σ = 0.16  oz

The claim to be tested is that the population of volumes has a standard deviation of less than 0.16 oz

Alternate hypotheses = H₁: σ < 0.16  oz

Determine type of test:

Since the alternate hypothesis states that the population of volumes has a standard deviation of less than 0.16 oz, therefore we will use a lower-tailed chi-square test.

Determine the Critical value:

Given level of significance = 0.01

Since it is a lower-tailed test, the areas given in the chi-square table are the areas to the right of the critical value. To get the areas on the left, subtract it from  one, and then look it up

α = 1 - 0.01 = 0.99

degree of freedom = df = n - 1 = 18 - 1 = 17

The critical value from the chi-square table at α = 0.99 and df = 17 is found to be

Critical value = 6.408

Using an online “chi-square p-value calculator”

The left tail p-value for df = 17 and Critical value = 6.408 is found to be

p-value = 0.01

Set up decision rule:

Reject H₀ If  > Critical value

We reject the Null hypothesis If the calculated chi-square value is more than the critical value.

OR

Reject H₀ If p-value ≤ α

Compute the test statistic:

[tex]$ \chi^2 = \frac{(n-1) s^2}{\sigma^2} } $[/tex]

[tex]$ \chi^2 = \frac{(18-1) 0.14^2}{0.16^2} } $[/tex]

[tex]\chi^2 = 13.016[/tex]

Conclusion:

We reject H₀

Since [tex]\chi^2[/tex] > Critical value

13.016 > 6.408

Also

p-value ≤ α

0.01 ≤ 0.01

We have significant evidence at given significance level that the population of volumes has a standard deviation of less than 0.16 oz.

Answer:

Step-by-step explanation:

Hello,

His profit is $0.72 per sandwich

so for 150 sandwiches his profit is 0.72 * 150 = $ 108

He does meet his daily goal as 108 > 100

Hope this helps

answer

b3 is d long so 40 -d shape gives 36

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of  this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

6

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

Answer:

n = 7

Step-by-step explanation:

The sum of the interior angles of a polygon is 9[tex]x^2[/tex]. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?

The sum of the interior angles of a concave polygon can be found using the formula S = (n - 2)*180.

n= number of sides of the polygon

n-2 * 180 = the sum of the interior angles

9[tex]x^2[/tex]= the sum of the interior angles

9[tex]x^2[/tex]= (n-2) *180

x= 3+ n

9 [tex](3+n)^{2}[/tex]=(n-2) *180

9 (9+6n+n^2) = (n-2) *180

81+54n+9n^2 = (n-2) *180

n = 7

Answer:

£17376.10

Step-by-step explanation:

Percentage increase.

16870 × (1 + 3%)

16870 × 1.03

= 17376.1

Answer:

£17376.10

Step-by-step explanation:

100% + 3% = 103%

103% into a decimal = 1.03

16870 × 1.03

= £17376.1

Answer:

C = 600 + 50s

Step-by-step explanation:

The students are planning to visits the Canada's wonderland. The students will spend a full day at the park.

The entry fee for each student is $50 and the bus cost is $600. Each student will pay $50 for entry into the park.

Let

the number of student  = s

cost of the trip = C

Relating the variable C and s

The total amount of money the student will pay for entry fee = 50 × s = 50s

Therefore, cost of the trip can be expressed as follows

C = 600 + 50s