Ralph Chase plans to sell a piece of property for ​$150000. He wants the money to be paid off in two ways minus−a ​short-term note at 12​% interest and a​ long-term note at 9​% interest. Find the amount of each note if the total annual interest paid is ​$15900.

The amount of the 12​% note is ​$___. and the amount of the 9​% note is ​$___

Answer:

200 + 400 + 200

This is because you always round up past 50 and down under 50 so.

182->200

439->400

217->200

69r + E is the answer

Answer:

18,80,82

Step-by-step explanation:

82^2= 6724

18^2+ 80^2= 6724

The square of the largest number is equal to the sum of the squares of the two smaller numbers.

Step-by-step explanation:

[tex]( - 4 + 9) \times (1 - 8) \\ = 5 \times ( - 7) \\ = - 35[/tex]

hope it helps:)

Step-by-step explanation:

Answer for the first question.

since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

55° = 7x + y

55° = 7 * 5 + y

35° + y = 55°

y = 55° - 35°

y = 20°

Answer for the second question,

x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }

2x - x = 70° + 2°

x = 72°

Now

<WXY = 2x - 2°

= 2 * 72° - 2

= 142 °

Hope it will help :)❤✔

Answer:

[tex]5x^{2} -3x+6[/tex]

Step-by-step explanation:

Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

Answer:

37/39

Step-by-step explanation:

We know that formula for n terms of an AP is written as;

(n/2)(2a + (n - 1)d)

Let the sum of the first AP be;

(n/2)(2a + (n - 1)d)

Let the sum of the second AP be (n/2)(2A + (n - 1)D)

We are told that they have a ratio of (2n-1):(2n+1)

Thus;

(2n-1)/(2n+1) = [(n/2)(2a + (n - 1)d)]/[ (n/2)(2A + (n - 1)D)]

On RHS, n/2 will cancel out to give;

(2n-1)/(2n+1) = [(2a + (n - 1)d)]/[(2A + (n - 1)D)]

Rewriting this we have;

(2n - 1)/(2n + 1) = [(a + ½(n - 1)d)]/[A + ½(n - 1)D)]

But we want tod find;

(a + (n - 1)d)/(A + (n - 1)D)

Thus,at n = 10, we have;

(a + 9d)/(A + 9D)

Comparing with [(a + ½(n - 1)d)]/[A + ½(n - 1)D)], we can say that;

½(n - 1) = 9

n = 18 + 1

n = 19

Thus;

(a + 9d)/(A + 9D) = (2n-1)/(2n+1)

Putting n = 19 gives;

(a + 9d)/(A + 9D) = (2(19) - 1)/(2(19) + 1)

(a + 9d)/(A + 9D) = 37/39

Answer:

4.1

Step-by-step explanation:

Answer:

$2.79

Step-by-step explanation:

$11.78

- $8.99

=$2.79

Answer:

X = 5

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation:

Answer:

yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.

Hope it helps!

Answer:

3x2+5=11

Step-by-step explanation:

Answer:  7

Step-by-step explanation:

It's a 1 : 3 ratio so the answer should be 7

Answer:

421/33

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first table represents a linear function

The second table represents an exponential function

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

By the Triangle Proportionality Theorem:

[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]

By cross-multiplication:

[tex]\displaystyle 12(x+1)=15(x)[/tex]

Distribute:

[tex]12x+12=15x[/tex]

Subtract 12x from both sides:

[tex]12=3x[/tex]

Hence:

[tex]x=4[/tex]

Answer:

4

Step-by-step explanation:

The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.

Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **

We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]

[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]

[tex]3x = 12[/tex]

[tex]x = 4[/tex]

That means our answer, for the value of x, is 4

** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.

Answer:

8 cm

Step-by-step explanation:

Use pythagorean theorem to find the height (a and b are equal):

[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]

Area is half of the base times height. Base and height are equal for this triangle.

[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]

Answer:

$360

Step-by-step explanation:

The intial ratio of the sum shared between Khairul, Michael and Ethan is 6 : 4 : 5.

This would be 6x : 4x : 5x

Khairul gives $30 to Michael and $15.

The ratio is. Now;

(6x - 45) : (4x + 30) : (5x + 15)

We are told this is equal to the ratio 7:6:7

Thus;

((6x - 45) + (4x + 30))/(5x + 15) = (7 + 6)/7

(10x - 15)/(5x + 15) = 13/7

Factorize the left hand side;

5(2x - 3)/5(x + 3) = 13/7

5 will cancel out to get;

(2x - 3)/(x + 3) = 13/7

Cross multiply to get;

7(2x - 3) = 13(x + 3)

14x - 21 = 13x + 39

14x - 13x = 39 + 21

x = 60

Amount Khairul had initially was denoted as 6x.

Thus,6x = 5 × 60 = $360

Answer:

Friday

Step-by-step explanation:

Answer:

Step-by-step explanation:

a+c=62, c=62-a

7a+3.5c=364, using c found above gives you

7a+3.5(62-a)=364 expand left side

7a+217-3.5a=364 group like terms on left side

3.5a+217=364 subtract 217 from both sides

3.5a=147 divide both sides by 3.5

a=42, since c=62-a

c=62-42=20

So 20 children and 42 adult tickets were sold.

Given:

The cost of a laptop increased by 25% between 2015 and 2019.

In 2019, the laptop cost £1000.

To find:

The cost of the laptop in 2015.

Solution:

Let x be the cost of the laptop in 2015.

The cost of a laptop increased by 25% between 2015 and 2019. So, the cost of the laptop in 2019 is

Cost of laptop in 2019 = [tex]x+\dfrac{25}{100}x[/tex]

                                     = [tex]x+0.25x[/tex]

                                     = [tex]1.25x[/tex]

In 2019, the laptop cost £1000.

[tex]1.25x=1000[/tex]

[tex]x=\dfrac{1000}{1.25}[/tex]

[tex]x=800[/tex]

Therefore, the cost of the laptop in 2015 is £800.

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

[tex]k = \frac{y}{x}[/tex]

When y = 24; x = 8

So, we have:

[tex]k = \frac{24}{8}[/tex]

[tex]k = 3[/tex]

Answer:

me gusta las mujeres :)

Step-by-step explanation:

Answer:Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

why is there no option fr 3???