the cash price for a car is 300000. the hire purchase price is a deposit of 80 000 and instalment of 2 500 for 3 years. how much more than the cash price is the hire purchase price​

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

670,000

Step-by-step explanation:

Answer:

670,000

Step-by-step explanation:

674,312 rounded to the nearest ten thousand is 670,000

Answer:

5m²xy² is the answer to the question.

Answer:

See the image for marked congruences.

1. JM ≅ LM                           |      Given

2. △JML is isosceles          |      definition of isosceles

3. ∠MJL ≅ ∠MLJ                  |       isosceles triangle theorem

4. m∠MJL = m∠MLJ             |      definition of ≅

5. JK ≅ LK                            |      Given

6. △JKL is isosceles           |      definition of isosceles

7. m∠KJL = m∠KLJ              |       isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL                         |  adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ                         |  adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM      |   transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM      |   substitution

12. m∠KJM = m∠KMJ          |        subtraction

13. ∠KJM ≅ ∠KLM                |        definition of ≅

14. △KJM ≅ △KLM             |        SAS theorem

15. ∠JKM ≅ ∠LKM                |        CPCTC

16. KM bisects ∠JKL            |        definition of bisector

Answer:

it would be B.

Step-by-step explanation:

if you do 4x+20=3x

then you solve x by simplifying both sides of the equation and isolate the variable.

Answer:

\((a)\ \frac{dP}{dt} = kP + r\)

\((b)\ \frac{dP}{dt} = kP - r\)

Step-by-step explanation:

Given

\(\frac{dP}{dt} = kP\)

Solving (a): Differential equation for immigration where \(r > 0\)

We have:

\(\frac{dP}{dt} = kP\)

Make dP the subject

\(dP =kP \cdot dt\)

From the question, we understand that: \(r > 0\). This means that

\(dP =kP \cdot dt + r \cdot dt\) --- i.e. the population will increase with time

Divide both sides by dt

\(\frac{dP}{dt} = kP + r\)

Solving (b): Differential equation for emigration where \(r > 0\)

We have:

\(\frac{dP}{dt} = kP\)

Make dP the subject

\(dP =kP \cdot dt\)

From the question, we understand that: \(r > 0\). This means that

\(dP =kP \cdot dt - r \cdot dt\) --- i.e. the population will decrease with time

Divide both sides by dt

\(\frac{dP}{dt} = kP - r\)

The notion of finiteness refers to the idea that something has a definite limit or is not infinite. It is a concept that has been applied in various fields of study, such as mathematics, computer science, and philosophy.

In mathematics, finiteness is a fundamental concept used to define various mathematical objects and structures, such as sets, numbers, and sequences. It is also used to define the properties of functions and to study the properties of mathematical systems.

In computer science, the notion of finiteness is crucial for the design and analysis of algorithms and computer programs. Computer scientists use finite state machines, which are mathematical models that describe the behavior of a system that can be in one of a finite number of states.

This concept is essential to the development of computer programs that are efficient, reliable, and secure.

In philosophy, finiteness is a concept that is often used to reflect on the nature of human existence and the limits of human knowledge. It is also used to examine the concept of time and the nature of reality.

In general, the notion of finiteness is a fundamental concept that has many applications in various fields of study.

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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Answer: hope this helps

Let x be the amount borrowed from the bank that charged 6% interest and y be the amount borrowed from the bank that charged 3.5% interest. We know that:

x + y = 21,000 (the total amount borrowed)

We also know that the total interest after 1 year was $1210. The interest charged by the first bank is 6/100x = 0.06x and the interest charged by the second bank is 3.5/100y = 0.035y.

The total interest is the sum of the interest charged by both banks:

0.06x + 0.035y = 1210

We have two equations:

x + y = 21,000

0.06x + 0.035y = 1210

To find the amount borrowed from each bank, we can use the first equation to solve for one of the variables in terms of the other. For example, we can substitute y = 21,000 - x in the second equation:

0.06x + 0.035(21,000 - x) = 1210

0.06x + 735 - 0.035x = 1210

0.025x = 485

x = 19400

Now, we can substitute this value of x back into the first equation to find the value of y:

y = 21,000 - x

y = 21,000 - 19400

y = 1600

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

Given line m and line n are parallel:

x + 72 = 3x + 12 export like terms to the same side of equation with opposite indicator (- changes to + and + changes to -)

72 - 12 = 3x - x add/subtract like terms

60 = 2x divide both sides by 2

30 = x

Answer:

☆<《HOPE IT WILL HELP YOU 》>☆

Step-by-step explanation:

capital of Peru is Lima

The length of one side of the garage originally is 15.7 feet.

The length of one side of the garage now is 19.3 feet.

The percentage increase will be 18.65%.

It should be noted that the area = side × side

1. There's a 50% increment. This will be:

= New area = 248 × (100% + 50%)

= 248 × 1.5

= 372ft²

Therefore, the sides or length will be:

= ✓372

= 19.3 feet

2. Length of original garage will be:

= ✓248

= 15.7 feet

3. The percentage increase will be:

= (19.3 - 15.7)/19.3 × 100

= 18.65%

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The Number of Soccer Balls is 16 and the Number of T-Shirts is 68

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form         ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let,

Number of Soccer Balls = x

Number of T-Shirts = y

Equation 1:

x + y = 84 -----------(i)

Equation 2:

25x + 9.5y = 1046 ----------(ii)

Multiplying Equation 1 by 25

25x + 25y = 2100 ---------(iii)

Substracting Equation2 from Equation 1

15.5y = 1054

y = 68

So, x = 16

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The answer is not one of the given choices. The correct answer is 73.

To find the total number of individuals who took the quiz, we need to add up the frequency (f) for each score (x) and then take the sum:

5(6) + 4(5) + 3(5) + 2(3) + 1(2) = 30 + 20 + 15 + 6 + 2 = 73

Therefore, the answer is not one of the given choices. The correct answer is 73.

       Frequency distributions are portrayed as frequency tables or charts. Frequency distributions can show either the actual number of observations falling in each range or the percentage of observations. In the latter instance, the distribution is called a relative frequency distribution.

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Answer:

c

Step-by-step explanation:

Just trust me ive had ths question before

There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.

To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.

Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):

Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.

Therefore, the probability that a randomly selected student scored A or B

in Biostatistics is:

Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.

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Dividing by a fraction is equivalent to multiply by its inverse. For example, if you want to divide 3/4 by 5/6, you have to compute 3/4 multiplied by 6/5

18/20 can be simplified by dividing each term by the same number, in this case by 2.

If you want to divide mixed numbers, first, you have to convert the mixed numbers into improper fractions, and then proceed as explained above.

The value of CE is 14.7 units.

The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.

So that in the given circle with center A, we have;

CE = BD  (diameter of a given circle)

BA = EA = CA = DA    (radius of a given circle)

CE is the diameter of the circle, and BA is the radius, so that;

CE = 2*BA

     = 2*7.35

     = 14.7

CE = 14.7

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Sarai, if the confidence interval is (0.52, 0.58), therefore:

0.52 + 0.03 = 0.55

0.58 - 0.03 = 0.55

The sample proportion is C. 0.55

Sarai, the definition of a confidence interval is how much uncertainty there is with any particular statistic. Confidence intervals are often used with a margin of error. In our question, the margin of error is 0.03, that is added and subtracted from the sample proportion to calculate the upper and lower limits of the confidence interval.

Using a confidence level of 90%, we got a margin of error of 0.03

Using a different confidence level, we should get a different margin of error.

The formula of the margin of error is:

Explanation:

L = lower bound

U = upper bound

The confidence interval (L, U) is (0.52, 0.58)

Find the midpoint of L and U

(L+U)/2 = (0.52+0.58)/2 = 0.55

The exact middle of the confidence interval is the location of the point estimate, which in this context is the sample proportion.

Extra info: the margin of error is 0.03 since 0.55-L = 0.55-0.52 = 0.03 and also U - 0.55 = 0.58 - 0.55 = 0.03

Answer:

5000

300

20

8

would be your answer :)

Answer:

400

Step-by-step explanation:

│an − L│< ε

│2 + (-1)ⁿ/√n − 2│< 1/20

│(-1)ⁿ/√n│< 1/20

1/√n < 1/20

√n > 20

n > 400

Answer:

QP = 29

Step-by-step explanation:

\(let \: QP = x \\ 31 \times 31 + 31x = 43 {}^{3} \\ 961 + 31x = 1849 \\31x = 1849 - 961 \\ 31x = 888 \\ x = \frac{888}{31} \\ x= 28.64516129032258 \\ approx \: \: x=29\)

Qp = 29

Answer:

the four consecutive odd integers are: 51, 53, 55, 57

Step-by-step explanation:

The four consecutive odd integers that the sum of the smallest two added to four times the largest to give a product of 92 are 11, 13, 15, and 17.

Consecutive numbers are numbers that follow each other repeatedly in a  specified continuous manner. In the given question, they talked about consecutive odd integers.

So, the four consecutive numbers are:

So that if the value of x = 1, the four consecutive odd numbers can now be:

= 1, 3, 5 and 7

However, we are being told that the sum of the smallest two is added to four times the largest.

i.e.

x + (x +2) + 4(x+6) = 92

2x + 2 + 4x + 24 = 92

6x + 26 = 92

6x = 92 - 26

6x = 66

x = 11

Now, the four consecutive odd integers are:

x = 11

x + 2 = 13

x + 4 = 15

x + 6 = 17

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Answers:

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

Explanation:

The first step when multiplying fractions is to find the reciprocal of the second fraction.

The statement is False.

The first step when multiplying fractions is to find the reciprocal of the second fraction.

The given statement is FALSE.

Because, First step in multiplying fractions is multiply the numerator from each fraction. That is, multiply the top number first.

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Answer:

So the diameter of the pipe with the insulation around it is approximately 18.84 inches / 2 = 9.42 inches.

Step-by-step explanation:

To find the diameter of the pipe with the insulation around it, we can use the formula for the circumference of a circle:

C = 2 * π * r

Where:

· C = circumference of the pipe

· π = the mathematical constant approximately equal to 3.14

· r = the radius of the pipe

Using the given information, we know that the pipe’s diameter is 2.5 inches and that the insulation around the pipe is 0.5 inch thick. Therefore, the radius of the pipe with the insulation around it is:

r = 2.5 inches + 0.5 inch = 3 inches

Plugging in the values:

C = 2 * π * 3

C = 6.28 * 3

C = 18.84 inches

Note that this is only an approximation, as the thickness of the insulation is slightly larger than the diameter of the pipe. To obtain a more accurate result, we would need to use a geometric area formula or a numerical integration technique.

Answer:

110

Step-by-step explanation:

nth term = 3n + 2

3 (36) + 2

108 + 2 = 110

Answer:

The 36th term in the sequence is 104.

Here's how to find it:

- Start with the first number in the sequence: 5.

- Add the common difference, which is 3, to get the second number in the sequence: 8.

- Add the common difference to the second number to get the third number: 11.

- Continue adding the common difference to each subsequent number to find the next term in the sequence.

- The 36th term is three less than 37 times the common difference added to the first term.

- Using that formula, we can calculate the 36th term as: 5 + (36 - 1) * 3 = 5 + 105 = 110.

- Therefore, the 36th term in the sequence is 104.

Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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k = 3

Expression A:

\((2k + 8) + (5k + 10) = 2k + 8 + 5k + 10 = 7k + 18 = 7*3 + 18 = 21 + 18 = 39\)

Expression B:

\(76 + 18= 94\)