answer and i will mark it as brainliest
A person took a loan of Rs 150000for tw years at the rate of 10% annual compound interest To reduce interest and loan partly he paid Rs 85000 at the end of first year
a) Now how many rupees should he have to pay at the end of second year to clear his debt
b) If he had paid the loan only at the end of second year how much less or more interest should have to be paid?

Answer:

A) gp+gq−gr+hp+hq−hr

Step-by-step explanation:

Original: (g+h)(p+q−r)

Multiply: (g)(p)+(g)(q)+(g)(−r)+(h)(p)+(h)(q)+(h)(−r)

Simplify: gp+gq−gr+hp+hq−hr

Hope this helped! :)

This table could represent the prices of a certain item in a store.

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On solving the provided question, we can say that the required expression is   " 76 + c; 76 + (–8) = 68; 68°F ".

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

the required expression is

C. " 76 + c; 76 + (–8) = 68; 68°F ".

If 76 is the starting point or current temperature, then c would be the temperature change that occurred. The negative symbol on 8 indicates that there will be a decrease of 8 degrees, which will be experienced.

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The line y = mx + 4 has a slope of 2 and it is y = 2x + 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines parallel to each other have the same slope.

We also know, slope(m) = (y₂ - y₁)/(x₂ - x₁).

Slope(m) = (6 + 2)/(5 - 1).

slope(m) = 8/4.

slope(m) = 2.

So, The line y = mx + 4 is, y = 2x + 4.

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a) Relative Frequency of class D is equals to 0.2..

b) Frequency of class D is equals to the 40.

c) Frequency distribution of classes is third column of above table.

d) The percent frequency distribution for classes is fourth column of above table in figure.

A relative frequency distribution is one important type of frequency distribution. Relative frequency calculated by the number of times an event occurs divided by the total number of events occurring in a scenario. We have, a table consists relative frequency for three classes A,B and C and we have to calculate the relative frequency for class D. Total sum of all relative frequencies for values = 1

a) So, relative frequency for class D = 1 - relative frequencies for A,B and C

= 1 - 0.24 - 0.16 - 0.4

= 1 - 0. 8 = 0.2

b) Sample size, n = 200 i.e.,

Possible frequency value = 200 .

Frequency of class D = 200× 0.2 = 40

c)

Relative frequency = frequency/ total frquency

=> Frequency of a value = relative frequency × n = 0.24 × 200 = 48

Frequency of class B = 0.16 × 200 = 32

Frequency of class C = 0.4 × 200 = 80

Frequency of class D = 0.2 × 200 = 40

Frequency distribution table present above.

d) Now, the percent frequency distribution .

percent frequency= relative frequency × 100

So, percent frequency of class A

= 0.24 × 100 = 24%

Percent frequency of class B = 0.16 × 100

= 16%

Percent frequency of class C = 0.4 × 100

= 40%

Percent frequency of class D = 0.2 ×100

= 20%

Thus, all required values are present in above table in figure.

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Complete question:

A partial relative frequency distribution is given. class relative frequency

A 0.24

B 0.16

C 0.40

D ?

a) what is the relative frequency of class D?

.2 correct: your answer is correct.

(b) the total sample size is 200. what is the frequency of class D?

40 correct: your answer is correct.

(c) show the frequency distribution.

class frequency a 48 correct: your answer is correct. b 32 correct: your answer is correct. c 80 correct: your answer is correct. d 40 correct: your answer is correct. total 200 correct: your answer is correct.

(d) show the percent frequency distribution. class percent frequency a .24 incorrect: your answer is incorrect. b .16 incorrect: your answer is incorrect. c .4 incorrect: your answer is incorrect. d .2 incorrect: your answer is incorrect. total 1 incorrect: your answer is incorrect.

4 jars Lorraine can fill with tomatoes as in step with the given unit conversion.

The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given this, Lorraine prepared a 1.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.5 quarts of tomatoes

Since 1 gallon is equal to 4 quarts.

Total tomatoes Lorrain has = 1.5 gallons = 1.5 * 4 quarts

Total tomatoes Lorrain has = 6 quarts

Since one jar can only fit 1.5 quarts of tomatoes

Thus,

the number of jars that can be filled = 6/1.5 = 4

Therefore, 4 jars Lorraine can fill with tomatoes as per the given unit conversion.

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The equation of the perpendicular line will be y = -(2/3)x + c and y = -(4/6)x + c. Then the correct options are A and E.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation is given below.

y + 2 = (3/2)(x + 4)

The equation of the perpendicular line is given as,

y = -(2/3)x + c

y = -(4/6)x + c

The equation of the perpendicular line will be y = -(2/3)x + c and y = -(4/6)x + c. Then the correct options are A and E.

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The complete question is given below.

The angle subtended by the arc rounded off to the nearest 10th is 3.6 radians.

We have been given that the length of the arc subtended by the angle at the center is 26.2 units.

The radius of the said circle is 7.3 units.

Now the relation between the length of the arc, the angle subtended by it on the center of the circle, and the radius of the circle is given by

l = rθ

where,

l s the length of the arc in radians

r is the radius of the circle in radians

θ is the angle subtended by the arc

Here l = 26.2 units

r = 7.3 units

Hence we get

θ = l/r

θ = 26.2/7.3

= 3.589 radians

= 3.6 radians

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Andrea produced 5 pillows. She made the decision to create two additional pillows but realised she would require an additional 4. 5 yards of cloth. 2 yards of fabric were utilised by her.

We must multiply 5 by 4 in order to find the answer.

[tex]$$\begin{aligned}& 5=5 / 1 \\& 4 =4 / 1 \\& 5 \times 2=10 \\& 1 \times 5 =5 \\& =10 / 5\end{aligned}$$[/tex]

Simplifying 10/5 ⇒ 10 / 5= 2

Using 2 yards of material, Andrea

Once more, when adding whole numbers and fractions, determine the sum of the whole numbers first, and then add the remainder as a fraction to the answer. Placing a decimal number above its place value will allow you to convert it to a fraction. For instance, we multiply 6 by 10 to get the comparable fraction of 6/10 since in 0.6, the number six is in the tenths place. Condense the portion if necessary. Sal Khan is the author.

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Answer:

Step-by-step explanation:

6 or 7

Answer: 945

Step-by-step explanation: f(x)=35(x+16)

                                             f(11)=(11+16)

                                                    =35 * 27

                                                    =945

Answer:

x = -4 + 2 i or x = -4 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 8 x + 20 = 0

Subtract 20 from both sides:

x^2 + 8 x = -20

Add 16 to both sides:

x^2 + 8 x + 16 = -4

Write the left hand side as a square:

(x + 4)^2 = -4

Take the square root of both sides:

x + 4 = 2 i or x + 4 = -2 i

Subtract 4 from both sides:

x = -4 + 2 i or x + 4 = -2 i

Subtract 4 from both sides:

Answer: x = -4 + 2 i or x = -4 - 2 i

A square tuvw is dilated by a scale factor of 6. The measure of side uv is 3 units.

Dilation is a transformation that makes items smaller or larger by using a scale factor.

Scale factor is the ratio of the size of the resulted dilated shape to the size of original shape.

Scale factor = size of dilated figure / size of original figure.

In the problem, the scale factor = 6.

The dilated square has side length of 18.

Hence,

Scale factor =  side of  t'u'v'w' / side of  tuvw

6 = 18 / side of  tuvw

side of  tuvw  = 18/6 = 3

There were typos in your question, most likely it was:

square tuvw is dilated by a scale factor of 6 to form square t'u'v'w'. side u'v' measures 18. what is the measure of side uv?

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Using exponent properties, we can simplify the given expression as:

4ⁿ⁺⁴ = 256*4ⁿ

Remember the exponent property for the product:

xᵃ*xᵇ = xᵃ*ᵇ

Then our expression can be rewritten as:

4ⁿ⁺⁴

We can expand that as

4ⁿ⁺⁴ = 4ⁿ*4⁴

And the second factor can be simplified to:

4⁴ = 16*16 = 256

Then the simplified expression will be:

256*4ⁿ

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The circumference of the circle is 22 cm. The correct option is D.

The circumference, also known as the length of a circle, is its circumference. By using the radius or diameter, we can calculate the circumference of a circle. 

The circumference of the circle is calculated by the formula written below:-

C = 2 x π x r

Given that the radius of the circle is 3.5 cm. The circumference of the circle is calculated as:-

C =  2 x π x r

C =  2 x π x 3.5

C = 22 cm

Hence, the circumference of the circle is 22 cm.

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The pack with 55 paper plates that costs $4.40 is a better buy that the pack with 85 paper plates which costs $8.08.

We must utilize the unitary method in this elementary algebra issue, which is nothing more than figuring out the price per plate in both of the cases. The cost per plate for the $8.08 box of 85 paper plates must now be determined. As a result, since 85 plates cost $8.08, 1 plate must cost $8.08/85, or around 9.5 cents per plate. When we repeat the job for the second scenario, we see that 55 plates cost $4.40, making 1 plate cost $4.40/55, or 8 cents per plate. Now that each plate costs less in the second scenario, it turns out to be a superior purchase.

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The earning of Luke if he mowed lawn for 9.5 hours is, $133.75

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

Luke earns $12.50 per hour mowing lawns

He also earned a $5.00 tip from three customers

Earning if he mowed for 9.5 hours = ?

Suppose, he works for x hours

Total earning = From mowing + Tip

                      = 12.50×X + 15

Y =  12.50X + 15

If he mowed for 9.5 hours,

Y = 12.50 × 9.5 + 15

Y = 133.75

Hence, The earning of 9.5 hours is $133.75

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This polynomial, 4x² is the GCF and (x + 2)(x - 1)(x + 3) are the remaining factors.

What is polynomial?

A polynomial is an equation made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables.

A polynomial with a GCF of 4x² means that 4x² is a factor common to all terms in the polynomial. One example of such a polynomial is:

4x² (x + 2)(x - 1)(x + 3) = 4x⁵ + 24x²- 36x³ - 72x²

In this polynomial, 4x² is the GCF and (x + 2)(x - 1)(x + 3) are the remaining factors.

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a) The upper bound for the perimeter of the rectangle is 42.4 m.

b)The lower bound for the area of the rectangle is 83.21 cm².

We have, The lengths of the rectangle have been measured to the nearest tenth of a metre. So, degree of accuracy of measurements = 1/10 m = 0.1 m

We need to work out the upper and lower bounds for each side, when side length = 15.8 m and width = 5.2 m

Upper bound of length = 15.8 + 0.1

= 15.9 m

Lower bound of length = 15.8 - 0.1 = 15.7

Upper bound of width = 5.2 + 0.1 = 5.3

Lower bound of width = 5.2 - 0.1 = 5.1

For lower bound of Area :

We know the area of a rectangle is equals to product of width and length, so for the upper bound for the area we multiply the lower bound fo width and the lower bound of length together:

So lower bound of Area of rectangle

= 15.7× 5.1 = 83.21 cm²

For upper bound of Perimeter :

We know that the perimeter of rectangle is equals to two times of sum of each side of the rectangle, so for the upper bound for the perimeter we use the upper bound of each side:

2( 15.9 + 5.3) = 2× 21.2 = 42.4 m

Hence, the required area is 83.21 cm² and perimeter 42.4 m .

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inequalities by graphing. is x≥0,y≥0

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The equation of the line that passes through the point (3,-7) and has a slope of -4/3 is 4x + 3y + 9 = 0.

In the given question, we have to find the equation of the line that passes through the point (3,-7) and has a slope of -4/3.

A point on the line and the slope of the line are required in the point-slope version of the equation of a line. (X(1), Y(1)) serves as the line's reference point, and its slope is m. Consequently, the line equation is as follows.

(y - y(1)) = m(x - x(1))

From the given question, the value of m = -4/3 and x(1) = 3, y(1) = -7

Now putting the value in the formula

(y - (-7)) = -4/3(x - 3)

(y + 7) = -4/3(x - 3)

Multiply by 3 on both side, we get

3(y + 7) = -4(x - 3)

Now simplifying using the distributive property

3y + 21 = -4x + 12

Subtract 21 on both side, we get

3y = -4x - 9

Add 4x + 9 on both side, we get

4x + 3y + 9 = 0

Hence, the equation of the line that passes through the point (3,-7) and has a slope of -4/3 is 4x + 3y + 9 = 0.

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The complete question is:

What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?

The sampling method used in the problem is simple random sampling.

Based on the information given, the pollster used a sampling method called "simple random sampling."

Simple random sampling is a statistical sampling method in which every member of a population has an equal and independent chance of being selected as part of the sample. This is done by using a random number generator or a random selection process, such as using a table of random numbers, to select the sample(in this case, residential addresses) from the population(all the residential addresses in Sandy Springs). The sample size is determined in advance and the selection of individual units is purely by chance. The goal of simple random sampling is to ensure that the sample is representative of the population, so that inferences and conclusions about the population can be made based on the sample data.

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The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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= -6K-60-27 = 14 (k+6)

= -6k -87=14 (k+6)

= -6k-87= 14(K+6)

= -6K-87=14K+84

Add 87 to both the sides

= -6K-87=14K+84

= -6k-87+87 =14k+84+87

Add the numbers

-6 k=14k+171

Subtract 14k from both sides

-6 k=14k+171

-6k-14k=14k+171-14k

∴-20k=171

Divide both sides by the same factor

-20k=171

-20k/-20 = 171/-20

∴ k =-171/20

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Answer: $1,312.5 difference

Step-by-step explanation:

1050 x 1.5 = 1575

1575 x 1.5 = 2,362.5

2,362.5 - 1050 = 1,312.5

Answer:You draw from top to bottom

The correct answer is: A segment that connects the vertex and the opposite side at 90 degrees.

An altitude of a triangle is a line segment that connects a vertex of the triangle to the opposite side, and is perpendicular to that side. This is also called a "perpendicular bisector" of the side. It forms a right angle with the base at the point of intersection. The length of the altitude represents the height of the triangle, and it is used in finding the area of the triangle.

A perpendicular bisector is a line that bisects another line segment at a right angle, through the intersection point. Thus, we can say, a perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.

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Answer:

15.26 cm

Step-by-step explanation:

The given triangle is a right angled triangle, with perpendicular and base as 13cm and 8cm respectively, we need to find out y which is hypotenuse.

From Pythagoras theorem,

[tex]\implies \rm h^2=p^2+b^2\\ [/tex]

[tex]\implies \rm h =\sqrt{(13cm)^2+(8cm)^2}\\ [/tex]

[tex]\implies \rm h =\sqrt{169cm^2+64cm^2}\\[/tex]

[tex]\implies \rm h = \sqrt{ 233}=\boxed{15.26\ cm } [/tex]

and we are done!

-Rishabh

Pallavi should generate her hypothesis before conducting her study.

A hypothesis is a statement that predicts the relationship between two or more variables. It serves as a guide for the research and allows Pallavi to focus her study on a specific question or problem. In this case, her hypothesis should state her prediction about the relationship between wearing a seat belt and the extent of injuries in automotive accidents.

For example, her hypothesis could be "Wearing a seat belt will significantly reduce the extent of injuries in automotive accidents." This hypothesis can then be tested and supported or disproved through her research. It's important for Pallavi to generate a clear and testable hypothesis so that she can conduct a valid study with accurate results.

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Answer:

8x-6

12x-9-4x+3

Step-by-step explanation:

12x-4x-9+3

=8x-6

Answer:

[tex] \sf \: 8x - 6 [/tex]

Step-by-step explanation:

Given expression,

→ 12x - 9 - 4x + 3

Let's simplify the expression,

→ 12x - 9 - 4x + 3

→ (12x - 4x) + (-9 + 3)

→ (8x) + (-6)

→ 8x - 6

Hence, the answer is 8x - 6.