4. Philips is given an interest free loan to buy a LCD television. He needs to repay the loan by monthly instalments. He repays RM35 for the first month, RM38 for the second month and the repayment increase by RM3 each month until the loan is fully settled.
(a) Show that the monthly instalment earned form an arithmetic series and state its common difference. [2 marks]

(b) If the final monthly instalment if RM212, calculate the number of months it takes Philips to settle the loan. [4 marks]

(c) Determine the sum of the loan taken. [4 marks]​

If we reflect the point A (2, 1) across x=4, the point will be at (6, 1). Then if we reflect it again across the x axis, the point will be at (6, -1)

Answer: (6, -1)

Solution

Steps for comparing fractions

Find the least common denominator or LCM of the two denominators:

LCM of 5 and 10 is 10

Next, find the equivalent fraction of both fractional numbers with denominator 10

For the 1st fraction, since 5 × 2 = 10,

Likewise, for the 2nd fraction, since 10 × 1 = 10,

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

Answer:

√43

Step-by-step explanation:

Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.

a = √6 and c = 49

√6^2 + b^2 = 49

6 + b^2 = 49

b^2 = 43

b = √43

Answer:

The square root of 43

Step-by-step explanation:

 I did this in class the other day

Answer:

0.131

Step-by-step explanation:

you shouldn't be dividing anything if it has a + sign in between the problem. just add up the values and you'll get the right answer.

Step-by-step explanation:

62

x37

-------

434

+1860

--------

2294

Hey there!

The correct graph is A

The slope, 2, is a positive slope, which means that the graph will go left to right going up, which rules out graph B.

The y-intercept is 1, which means it will intercept the y-axis at point (0, 1). That rules out graph C.

This means that graph A is correct.

Hope it helps and have a great day!

Answer:

○ \(\displaystyle a\)

Step-by-step explanation:

From the y-intercept of \(\displaystyle [0, 1],\) you can either move two blocks south over one block west, or two blocks north over one block east. Either way, you are still using the rate of change [slope] correctly:

\(\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m\)

I am joyous to assist you at any time.

► \(\displaystyle -m =\) NEGATIVE RATE OF CHANGE

► \(\displaystyle m =\) POSITIVE RATE OF CHANGE

Area of a triangle: A bh/2

A = 6(8)/2

A = 48 / 2

A = 24

Answer:

3(12*18*18) SOLVE TO GET ANSWER

Step-by-step explanation:

The complete labels to the parts of the circle such as tangent, diameter, radius and secant are found in the attchment.

The various parts of a circle are:

Center: The point inside the circle that is equidistant from all points on the circumference.

Circumference: The distance around the circle.

Radius: A line segment from the center of the circle to any point on the circumference.

Diameter: A line segment that passes through the center of the circle and has its endpoints on the circumference.

Chord: A line segment with both endpoints on the circumference.

Tangent: A line that intersects the circle at only one point, called the point of tangency.

Secant: A line that intersects the circle at two points.

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Answer:

Step-by-step explanation:

Find c if ∠PQR = 90°?

I will ASSUME you mean point P is at (3. c)

slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6

slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)

perpendicular lines have negative reciprocal slopes.

(2 - c) / 6 = -1(3c - 9)/9

9(2 - c) = -6(3c - 9)

18 - 9c = -18c + 54

       9c = 36

         c = 4

Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.

To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.

The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.

To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).

Payback Period = Cost of Education / Annual Increase in Earning Potential

Payback Period = $36,000 / $18,262

The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.

If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.

In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.

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Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

The information given regarding the computation of the profit or loss shows that there's a loss of RS 500,000.

From the information given, it was stated that the real estate agent bought two triangular Kittas' having a common side as shown in the figure from two people for Rs 2000,000 altogether.

It was further depicted that he sold the land in the shape of a quadrilateral at Rs 1,500,000. In their case, the sale is less than the cost and therefore, there's a loss.

The loss will be:

= 2,000,000 - 1,500,000

= 500,000

Therefore, the information given regarding the computation of the profit or loss shows that there's a loss of RS 500,000.

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Hello do you still need help or did you figure it out?

Answer:

supplementary

Step-by-step explanation:

135 + 45 = 180

supplementary angle ALWAYS add up to  180.

Answer:

The answer would be A

Step-by-step explanation:

|a| is absolute value so it means it equals 5

Step-by-step explanation:

5.) f(1) = 7, f(n) = -4※f(n-1) + 15

\(f(2) = - 4 \times 7 + 15 = - 13 \\ f(3) = - 4 \times ( - 13) + 15 = 67 \\ f(4) = - 4 \times 67 + 15 = - 253\)

The first four terms are 7, -13, 67, -253.

7.) f(1) = 3, f(n) = [f(n-1)]²

\(f(2) = (3)^{2} = 9 \\ f(3) = ( {9)}^{2} = 81 \\ f(4) = ( {81)}^{2} = 6561\)

The first four terms are 3, 9, 81, 6561.

Answer:a minimum of 15 weeks to about 30 weeks.

Step-by-step explanation:

In order for the relationship zyx ~ wvu to be correct, the following conditions must be true:

Corresponding angles are congruent: The angles formed by matching vertices should have the same measures in both triangles. This ensures that the corresponding angles are equivalent.

Corresponding sides are proportional: The lengths of the sides that connect the corresponding vertices of the triangles should have a consistent ratio. This implies that the corresponding sides are proportional to each other.

These conditions are based on the definition of similarity between two triangles. If both the corresponding angles are congruent and the corresponding sides are proportional, then the triangles zyx and wvu are considered similar (denoted by ~).

Therefore, in order for zyx ~ wvu to be correct, the congruence of corresponding angles and the proportionality of corresponding sides must hold true.

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The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer: To find the area of the shaded region :

Calculate the area of both shapes. The area of a rectangle is determined by multiplying its length times its width. The area of a circle is Pi (i.e., 3.14) times the square of the radius. Find the area of the shaded region by subtracting the area of the small shape from the area of the larger shape.

Step-by-step explanation: I cannot see the picture to answer your question but I hope this helps you find put your answer. :)

Answer:

13

Step-by-step explanation:

Start with the smaller sqaure without the x varible which is 7 x 3 = 21

Then the larger square without the varible, 8 x 4 = 32

Now we subtract 21 from 34 and get 13.

So the area for the shaded region should be 13

Answer:

It add up by 6.

Step-by-step explanation:

6 plus 6 is 12 plus another is 18 and it keeps going.

Answer:

time x 6 = your distance

Step-by-step explanation:

Time x 6 = distance

EXample:

2 x 6 = 12

Hope this helps!

\(\frac{2}{\sqrt{13}+\sqrt{11}} \times \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\=\frac{2\sqrt{13}-2\sqrt{11}}{13-11}\\\\=\boxed{\sqrt{13}-\sqrt{11}}\)

The solution is: our final quotient is:  (√13 - √11).

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation

Since we have radicals in the denominator, we need to rationalize our expression.

To do it we just need to multiply both numerator and denominator by the conjugate of the denominator.

Remember that the conjugate of a binomial is the same binomial with the sing in between changed.

given that,

2/ (√13 + √11)

Now, we can simplify the denominator:

multiplying by  (√13 - √11)

we get,

2 *  (√13 - √11) / (√13 + √11)*  (√13 - √11)

The only radical that we can simplify in the numerator is , which simplifies to:

2 (√13 - √11) / 13 - 11

=  2(√13 - √11) /2

= (√13 - √11)

So, our final quotient is:  (√13 - √11)

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Answer:L=11.3

W=1.3

Step-by-step explanation:

\( \\ \)

\( \\ \)

So to find actual length and width of rectangle, we need to find value of x.

\( \\ \)

we know:-

\( \bigstar \boxed{ \rm Area~of \: rectangle = length \times width}\)

\( \\ \)

So:-

\( \\ \)

\( \hookrightarrow \sf Area~of \: rectangle = length \times width \\ \)

\( \\ \)

\( \hookrightarrow \sf 15=(x + 5)(x - 5) \\ \)

\( \\ \)

\( \hookrightarrow \sf 15=x (x - 5) +5(x - 5)\\ \)

\( \\ \)

\( \hookrightarrow \sf 15=x^2 - 5x +5(x - 5)\\ \)

\( \\ \)

\( \hookrightarrow \sf 15=x^2 - 5x +5x - 25\\ \)

\( \\ \)

\( \hookrightarrow \sf 15=x^2 - \cancel {5x} +\cancel {5x} - 25\\ \)

\( \\ \)

\( \hookrightarrow \sf 15=x^2 -0 - 25\\ \)

\( \\ \)

\( \hookrightarrow \sf 15=x^2 - 25\\ \)

\( \\ \)

\( \hookrightarrow \sf 15 + 25=x^2 \\ \)

\( \\ \)

\( \hookrightarrow \sf 15 + 25=x^2 \\ \)

\( \\ \)

\( \hookrightarrow \sf 40=x^2 \\ \)

\( \\ \)

\( \hookrightarrow \sf x^2 = 40\\ \)

\( \\ \)

\( \hookrightarrow \sf x = \sqrt{40}\\ \)

\( \\ \)

\( \hookrightarrow \sf x = \sqrt{2 \times 2 \times 10}\\ \)

\( \\ \)

\( \hookrightarrow \sf x = 2 \sqrt{10}\\ \)

\( \\ \)

\( \hookrightarrow \sf x = 2 \times 3.16\\ \)

\( \\ \)

\( \hookrightarrow \sf x = 2 \times 3.16\\ \)

\( \\ \)

\( \hookrightarrow \bf x = 6.32(approx)\\ \)

\( \\ \)

\( \\ \)

Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:

fluid ounces

Step-by-step explanation:

A fluid ounce is a unit of volume typically used for measuring liquids. Various definitions have been used throughout history, but only two are still in common use: the British Imperial and the United States customary fluid ounce.