A finance company charges simple interest on money loaned to customer at 8% p.a. If $20000 is borrowed for 5 years. a) what is the interest payable b) what is the total amount to be repaid?​

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

7

Step-by-step explanation:

→ Find the scale factor

30 ÷ 25 = 1.2

→ Multiply answer by 20

20 × 1.2 = 24

→ Equate equation to 24

4x - 4 = 24

→ Add 4 to both sides

4x = 28

→ Divide both sides by 4

x = 7

Answer:

as all the sides are parallel to each other.

Step-by-step explanation:

the small lines on each side of the kite shows that all sides are equal / parallel to each other.

For the given figure, triangle ADB is congruent to triangle CBD, by SSS postulate.

In congruent geometry, the shapes are so identical that can be superimposed on themselves.

Consider triangle ADB and CDB,
AB = CB  [given]
AD = CD  {given}
BD = BD  [common side]

So, triangle ADB ≅ triangle  CDB, by SSS postulate.

Thus, triangle ADB ≅ triangle  CDB

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Answer:

Step-by-step explanation:

A)

B)

C)

The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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Answer:

7.5x+20y

Step-by-step explanation:

Just multiply 2.5 by 3 then 8.

2.5*3= 7.5

2.5*8=20

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Answer:

7.5x + 20y

Step-by-step explanation:

2.5 times 3 is 7.5

2.5 times 8 is 20

Because there is a variable attached, the number (coefficient) is multiplied with the variable :)

Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

The number expression is:

= (70 + 12.8 + 30) + 6.1

As we know from the commutative property

a +  b = b + a

Applying commutative property in the number expression:

= (70 + 30+ 12.8) + 6.1

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.

Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

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Answer:

You next 3 terms would be: 243, 729, 2187 and you common ratio is 3

Step-by-step explanation:

Follow the pattern. If you will see that each term is just being multiplied by 3. 3 is also your common ration as each number is multiplied by 3

3 x 3 =9

9x 3 = 27

27 x 3 = 81

81 x 3 = 243

243 x 3 = 729

729 x 3 = 2187

Hopefully I helped! Have a good one! - Zac

Answer:

Solution:

Look at the underlined lines. The multipliers are the same when finding the result. This means that the common ratio is 3.

Hence, the next three terms in the pattern are 243, 729, and 2187.

Answer:

  70

Step-by-step explanation:

You want to know Mary's age if it is 10 years less than 2 times Joe's age, and the difference between their ages is 30.

We can write equations to describe the given relationships:

  2j -m = 10

  m -j = 30

Adding the two equations, we get ...

  (2j -m) +(m -j) = (10) +(30)

  j = 40 . . . . . . . . . . . . . . . . . . simplify (Joe is 40)

  m = j +30 = 70 . . . . . . . . find Mary's age

Mary is 70 years old.

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Answer:

2 5/23

Step-by-step explanation:

The solution after dividing the numbers in a mixed number form is \(2\dfrac{5}{23}\).

Used the concept of the divide that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

\(5\dfrac{2}{3}\) divided by \(2\dfrac{5}{9}\)

Now we can divide the numbers as,

\(5\dfrac{2}{3}\) divided by \(2\dfrac{5}{9}\)

It can be written as,

\(5\dfrac{2}{3} \div 2\dfrac{5}{9}\)

Change into an improper fraction,

\(\dfrac{17}{3} \div \dfrac{23}{9}\)

\(\dfrac{17}{3} \times \dfrac{9}{23}\)

\(17} \times \dfrac{3}{23}\)

\(\dfrac{51}{23}\)

Change it into mixed fractions,

\(2\dfrac{5}{23}\)

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The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer: D. 18

Step-by-step explanation:

Euler's formula is Faces + Vertices = Edges + 2

Faces = Edges - vertices + 2

Faces = 39-23 + 2 = 18

Euler's formula is given by the formula F + V = E + 2. The number of faces in the given object is 18.

Euler's formula is given by the formula F + V = E + 2, in which F is the number of faces, V is the number of vertices, and E is the number of edges. For instance, a cube fits this formula since it has 6 faces, 8 vertices, and 12 edges.

The number of vertices and edges in the object is 23 and 39, respectively. Therefore, using Euler's formula the number of faces can be written as,

F + V = E + 2

F + 23 = 39 + 2

F = 39 + 2 - 23

F = 18

Hence, the number of faces in the given object is 18.

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0.5236 meters is the length of the given arc.

The formula for the length of an arc is given by:

Arc Length = (θ/360) * 2πr

Where:

In this case, the central angle is 60 degrees and the radius is 1/2 meters.

Plugging the values into the formula, we have:

Arc Length = (60/360) * 2π(1/2)

Arc Length = (1/6) * π

Arc Length = π/6

Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.

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According to the question, the solution to the equation is x = -7.

The equation is a representation of a mathematical relation between two or more variables. It is usually expressed as an equation, where one side of the equation is equal to the other. For example, the equation y=mx+b is a linear equation with two variables, m and b, which are known as the slope and the y-intercept, respectively.

To solve this equation, we must first combine like terms on both sides of the equals sign.

-3x + 3 - x + 10 = -3x + 6

Next, we can subtract 3 from both sides of the equation to isolate the x-term.

-4x + 13 = -3x + 6

Finally, we can subtract -3x from both sides of the equation to isolate the constant term.

-7x = 7

We can then divide both sides of the equation by -7 to solve for x.

x = -7

Therefore, the solution to the equation is x = -7.

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Question 9

Given

n=100

The triangular numbers are given by the following explicit formulas:

n=100

Answer:

13

Step-by-step explanation:

x/y = 4

x=4y

x - y = 39

4y - y = 39

3y = 39

y= 13

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

i think the 25 ounce bottle

Step-by-step explanation:

Answer:

Answer is C. 24

Step-by-step explanation:

1488 ÷ 62 = 24

Answer:

Yes, I agree with other person it is 24

Step-by-step explanation: 1488/62=24

So, your answer is C

༼ つ ◕_◕ ༽つ

Answer:

Option A

Step-by-step explanation:

Weight of an apple = twice of the weight of a lemon

Weight of an apple = 2(weight of a lemon)

x = 2y ------(1)

x = weight of an apple

y = weight of a lemon

Number of apples in a box = 16

Weight of the apple box (A) = 16x

Number of lemons in another box = 24

Weight of the lemon box (B) = 24y

Therefore, \(\frac{A}{B}=\frac{16x}{24y}\)

\(\frac{A}{B}=\frac{2x}{3y}\)

\(\frac{A}{B}=\frac{2(2y)}{3y}\) [From equation (1)]

\(\frac{A}{B}=\frac{4y}{3y}\)

\(\frac{A}{B}=\frac{4}{3}\)

Option A will be the correct option.

Given:

the angle A is in QIII, So, the value of the tan A will be positive

To find tan A, we need to find the third side of the right-angle triangle that angle A fall inside it

From the sin A = opposite/hypotenuse

opposite side = 5

hypotenuse = √61

the adjacent side will be calculated using the Pythagorean theorem

The value of tan A will be as follows:

Answer:

80 degrees

Step-by-step explanatibecause its congruent to a suplementary angle

\( \\ \\ \)

\( \\ \\ \)

Kindly keep in touch with picture

\( \\ \\ \)

We know:

\( \bigstar \boxed{ \rm Area = \dfrac{Diagonal_1 \times Diagonal_2 }{2}}\)

As we can clearly see we need both diagonals, but in question only one diagonal is given.

\( \\ \)

So first let's find other diagonal.

\( \\ \)

\( \red{\textsf{ \textbf{To find Diagonal}}} \red{\sf\pmb{_2}} \leadsto\)

\( \\ \)

In △ AOB :

AB - Hypotenuse

AO = Perpendicular

BO = Base

\( \\ \)

Base² = Hypotenuse ² - Perpendicular²

∴ BO² = AB² - AO²

\( \\ \)

\( \\ \\ \)

\( \red{\textsf{ \textbf{To find Area}}} \leadsto\)

\( \\ \)

As we already know Area of rhombus so :

\(\twoheadrightarrow\sf Area = \dfrac{Diagonal_1 \times Diagonal_2 }{2} \\ \)

\( \\ \\ \)

\(\twoheadrightarrow\sf Area = \dfrac{32 \times 24}{2} \\ \)

\( \\ \\ \)

\(\twoheadrightarrow\sf Area = \dfrac{768}{2} \\ \)

\( \\ \\ \)

\(\twoheadrightarrow\bf Area = \red {384 {cm}^{2} } \\ \)

Answer:

$20

Step-by-step explanation:

let the regular price of the mirror be 'x'

x*25/100=5

25x/100=5

cross multiply

25x=500

divide both sides by 25

x=$20

Answer:

I think the best is: Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650.

Step-by-step explanation:

It shows the population of each year.

Hope this helps...

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Answer:

line graph

Step-by-step explanation:

edge 2022

Answer:

I think its C

Step-by-step explanation: