A buyer borrowed $85,000 to be repaid in monthly installments of $823.76 at 11.5% annual interest. How much of the buyer's first-month payment was applied to reducing the principal amount of the loan?

Answer:

El ángulo lo representaremos por A

Su suplemento es 180-A

A=3(180-A)

A=540-3A

3A+A=540

4A=540

A=540/4

A=135°

Step-by-step explanation:

135=3(180-135)

135=3(45)

135=135

The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.

Let's denote the measure of the angle as x.

The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.

According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:

x = 3( 180 - x )

Now, let's solve this equation to find the measure of the angle:

x = 3( 180 - x )

x = 540 - 3x

4x = 540

x = 540 / 4

x = 135

Therefore, the measure of the angle is 135 degrees.

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The question is in Spanish question in English is :

If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?

Answer:

$51.56

Step-by-step explanation:

Given data

We are given that

12 gallons of gas cost $37.50

Required

The cost of 16.5 gallons

If 12 gallons of gas cost 37.50

then 16.5 gallons will cost x

cross multiply

12x= 16.5*37.5

12x= 618.75

x= 618.75/12

x= $51.56

Hence 16.5 gallons will cost $51.56

Factor using the perfect square rule.

( 5 x  −  1 ) ^2

The salesperson's total pay for the year is $68500

The given parameters are:

Base pay = $32,500

Commission = 8%

Total Sales = $450,000

The total pay is calculated as:

Total = Base pay + Commission * Total Sales

This gives

Total = $32,500 + 8% * $450,000

Evaluate

Total = $68500

Hence, the salesperson's total pay for the year is $68500

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Answer: 80 is the number of cupcakes for which the profit is equal to 0

Step-by-step explanation:

The best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

Profit is the amount which we earned after selling something at a price more than its cost price.

We have,

P(q) = -0.01 (q - 250) (q- 80)

Where,

P(q) = profit earned by a cupcake bakery  in dollars

q = cupcakes produced

So,

Now,

We have to find out the context of 80 in given equation,

So,

Lets substitute q = 80, in the given equation,

i.e.

P(q) = -0.01 (q - 250) (q- 80)

⇒

P(80) = -0.01 (80 - 250) (80- 80)

We get,

P(80) =  -0.01 (- 170) (0)

i.e.

P(80) = 0

So, 80 is a number of cupcakes for which the profit is equal to $0.

Hence, we can say that the best interpretation of the number 80 in the context of the given equation will be in option A, i.e. 80 is a number of cupcakes for which the profit is equal to $0.

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Answer:

x = 5

Step-by-step explanation:

The two rectangles are similar. What is

the length of x?

For the bigger rectangle

Length = 5

Width = 5

For the smaller rectangle

Length = x

Width = 5

We find x using Proportion

Width/Length

= 5/5 = 5/x

Cross Multiply

5x = 5 × 5

x = 25/5

x = 5

Answer:

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Answer:

Step-by-step explanation:

x + y = 7 + 2/8 = 58/8

x - y = 2 + 4/8 = 20/8

Add the equations together

2x = 78/8

x = 39/8

y = x - 20/8 = 19/8

x = 39/8 = 4⅞

y = 19/8 = 2⅜

Answer: [tex]93.53\ cm^2[/tex]

Step-by-step explanation:

Given

The side of the hexagon is [tex]a=2\ cm[/tex]

If it enlarged with scale factor 3 i.e. each side is 3 times before

The new side of the hexagon is [tex]a'=3\times 2=6\ cm[/tex]

The area of the hexagon is

[tex]A=\dfrac{3\sqrt{3}}{2}a^2[/tex]

Putting values we get

[tex]\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 6^2\\\\\Rightarrow A=\dfrac{3\sqrt{3}}{2}\times 36=54\sqrt{3}\ cm^2\\\\\Rightarrow A=93.53\ cm^2[/tex]

Answer:

Nuts.com sells almonds for money even though we can get them from walmart.

Step-by-step explanation:

who names their website Nuts.com

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = - 4 - 2( - 3) = 2

[tex]y_{2}[/tex] = - 4 - 2( - 2) = 0

[tex]y_{3}[/tex] = - 4 - 2( - 1) = - 2

[tex]y_{4}[/tex] = - 4 - 2( 0 ) = - 4

[tex]y_{5}[/tex] = - 4 - 2( 1 ) = - 6

Range: { 2, 0, - 2, - 4, - 6 }

Answer:

domain is always the x values and y values are the range of x.

It's option A

Answer:

Speed of sidekick : 600

Speed of superhero : 500

Step-by-step explanation:

x = sidekick speed

speed of hero = x-100

Time of hero = -36

1800/(x-100) = (1800/x) + 0.6

That equations solves to x = 600 and x = 500 or -500

The given difference in speed and the arrival time, as well as the

distance traveled, gives the speeds as 500 and 600 km/hr.

Response:

The given parameters are;

Superhero's speed = 1800 km

Speed of the superhero = Speed of the sidekick - 100 km/h

The time the superhero arrives at the hideout = 36 minutes after the sidekick = 0.6 hours

Required:

The speed of the superhero and the sidekick

Solution:

Let v represent the speed of the superhero, we have;

v × (t + 0.6) = (v + 100) × t

v·t + 0.6·v = v·t + 100·t = 1800

0.6·v = 100·t

[tex]t = \dfrac{0.6}{100} \cdot v[/tex]

Therefore;

0.006·v² + 0.6·v - 1800 = 0

Which gives;

v² + 100·v - 300,000 = 0

(v - 500)·(v + 600) = 0

v = 500, or v = -600

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Answer:

a) 3 : 14

b) 4 : 15

c) 3: 4

d) 19 : 15

e) 53 : 25

Step-by-step explanation:

a)90 sec to 7min

We convert 7 mins to seconds

1 minute = 60 seconds

7 minutes = x seconds

Cross Multiply

x = 7 × 60 seconds = 420 seconds

Hence,

Our ratio is

90 seconds : 420 seconds

Divide both sit by 30

= 3 : 14

b)48min to 3hours

We convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x minutes

Cross Multiply

x = 3 × 60 minutes = 180 minutes

Hence,

Our ratio is

48 minutes : 180 minutes

Divide both sides by 12

4 : 15

c)2.5 days to 80hours.

We are converting 2.5 days to hours

1 day = 24 hours

2.5 days = x

Cross Multiply

x = 2.5 × 24 hours = 60 hours

Hence,our ratio

60 hours : 80 hours

Divide both sides by 20

3: 4

d)3 800mm to 3m

We convert 3 m to mm

1 m = 1000 mm

3 m = x mm

Cross Multiply

x mm = 3 × 1000 mm

x mm = 3000mm

Hence, ratio is

3800 mm : 3000mm

Divide both sides by 200

19 : 15

e)5300m to 2.5km​

We convert km to m

1 km = 1000 m

2.5 km = x m

Cross Multiply

x m = 2.5 × 1000m

x = 2500m

Hence, our ratio

5300m : 2500m

Divide both sides by 100

53 : 25

Answer:

13

Step-by-step explanation:

Answer:

jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd

Step-by-step explanation:

h

Answer:

h

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

To find the side length of a square, you have to divide the perimeter by 4 (since a square has 4 sides). 28 divided by 4 is 7 and 20 divided by 4 is 5. to find the area of each square, you have to multiply each side length by two. 7 times 7 is 49 and 5 times 5 is 25. 49 minus 25 is 24.

Answer:

i think it is the most difficult one

Answer:

11 I think I'm not sure though

Answer:

y = 7x

y = $133

Step-by-step explanation:

x = independent variable

y = dependent variable

y = 7x

Where,

y = total amount saved

x = number of weeks

7 = constant

When x = 19

y = 7x

y = 7 * 19

y = 133

y = $133

Answer:

9

Step-by-step explanation:

Answer:

one solution;

x=-2.5

y=-1

Answer:

22 bucks duh

Step-by-step explanation:

Answer: The answer I got was A) 16

Step-by-step explanation:

Hope this helps!!!!

Question:

Jordyn, Teri, and Morgan are going to have a kite-flying contest. Jordyn and Teri each have one roll of kite string. They also each have 45 yards of extra string. Morgan has three rolls of kite string plus 10 yards of extra string. All the rolls of string are the same length. The girls want to see who can fly their kite the highest.

Since Jordyn and Teri have fewer rolls of kite string, they decide to tie their string together, so their kite can fly higher. Write at least two expressions to show how much kite string Jordyn and Teri have. Let x represent the number of yards of string on one roll.

Answer:

[tex]y=x +45[/tex]

[tex]y = 45 + x[/tex]

Step-by-step explanation:

From the complete question, we have:

Jordyn & Teri

[tex]Rolls = 1[/tex]

[tex]Extra = 45\ yd[/tex]

Morgan

[tex]Rolls = 3[/tex]

[tex]Extra= 10\ yd[/tex]

Required

Expression for Jordyn and Morgan

Let the total kite by Jordyn and Teri be represented with y

This is calculated as:

[tex]y = Rolls + Extra\ Yard[/tex]

This gives:

[tex]y = 1\ roll + 45yd[/tex]

1 roll is represented with x.

So:

[tex]y=1x +45[/tex]

[tex]y=x +45[/tex]

This can be rewritten as:

[tex]y = 45 + x[/tex]

Answer:

we cant read the numbers cuz theyre too small

Answer:

An expected height of 160.6 centimeters when the femur has a length of 40 centimeters.

Step-by-step explanation:

The line of best fit makes a prediction. In other words, it tells us what height to expect for any given femur length.

x represents femur length and y represents height, so the y-value on the line when x=40x is the expected height when the femur length is 40 cm.

Using the Regression model given, the meaning of the expression is " the expected height of the individual with a femur length of 40 would be about 160 cm

Hence, the expected height of the individual with a femur length of 40 would be about 160 cm.

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Answer:

x = 20.75

Step-by-step explanation:

37 + 12x = 286    <-- Subtract 37

12x = 249     <-- Divide by 12

x = 20.75