Hannah took out a loan to buy a new car. She also used some money from a savings account when she bought the car. Hannah's loan was for $18,000 at 0% interest. Her monthly payment is $300 per month Which graph best models the relationship between the amount of money left to be paid on the loan and number of monthly payments ?

Answer:

[tex]a_n=48*1.5^{n-1}[/tex]

Step-by-step explanation:

Geometric Sequence

In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

48, 72, 108, ...

The common ratio is found by dividing the second term by the first term:

[tex]r=\frac{72}{48}=1.5[/tex]

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.

Now we are sure this is a geometric sequence, we use the general term formula:

[tex]a_n=a_1*r^{n-1}[/tex]

Where a1=48 and r=1.5

[tex]\boxed{a_n=48*1.5^{n-1}}[/tex]

For example, to find the 5th term:

[tex]a_5=48*1.5^{5-1}=48*1.5^{4}=243[/tex]

Answer:

$2720

Step-by-step explanation:

Interest = P×R×T /100

= 2000×12×3 /100

=72000/100 = $720

Amount = Principal + Interest

= $2000+$720 =$2720

Answer:

838494393928262829292928288!!!!!!!!!!!!!!!$

Answer:

18.27

Step-by-step explanation:

70.50-52.01- 0.22

18.49-0.22

18.27

Answer:

1.03% is the answer

Step-by-step explanation:

Answer:

AB ≈ 15.7 cm, BC ≈ 18.7 cm

Step-by-step explanation:

(1)

Using the Cosine rule in Δ ABD

AB² = 12.4² + 16.5² - (2 × 12.4 × 16.5 × cos64° )

       = 153.76 + 272.25 - (409.2 cos64° )

       = 426.01 - 179.38

       = 246.63 ( take the square root of both sides )

AB = [tex]\sqrt{246.63}[/tex] ≈ 15.7 cm ( to 1 dec. place )

(2)

Calculate ∠ BCD in Δ BCD

∠ BCD = 180° - (53 +  95)° ← angle sum in triangle

∠ BCD = 180° - 148° = 32°

Using the Sine rule in Δ BCD

[tex]\frac{BC}{sin53}[/tex] = [tex]\frac{BD}{sin32}[/tex] = [tex]\frac{12.4}{sin32}[/tex] ( cross- multiply )

BC × sin32° = 12.4 × sin53° ( divide both sides by sin32° )

BC = [tex]\frac{12.4sin53}{sin32}[/tex] ≈ 18.7 cm ( to 1 dec. place )

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

Answer:

78 dollars

Step-by-step explanation:

You need to show the question to get the answer. All you can see is the lines...

Answer:

15

Step-by-step explanation:

3 x 3=9

2 x 2=4

1x1=1

-1x-1=1

9+4+1+1=15

Answer:

15

Step-by-step explanation:

The square of 3 is 3 times 3, so 9.

2 times 2 is 4.

1 times 1 is 1.

-1 times -1 is 1, because the negative cancels out.

So, it's 9 plus 4 plus 1 plus 1, so the answer is 15.

Answer:

14

Step-by-step explanation:

5x-3+ x+9 + 90= 180

6x+ 96=180

6x=180-96

6x=84

x=84/6

x=14

Answer:

1

3

130

Step-by-step explanation:

as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1

using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.

13/1=39/x

this is 13x=39

x=3 seconds

use the same ratio to find distance

13/1=x/10

13=x/10

130=x

Answer:

I am assuming you want the percentage increase in the price.

Step-by-step explanation:

The percentage increase is ( 15/50) * 100

= 15 * 2

= 30%.

Answer:

(1)xy=-5-3

-8ans

Step-by-step explanation:

(2) -3x =-18

-15ans

Answer:

i think its the 2nd one

Step-by-step explanation:

Answer:

What is the file? I don't know what the file is because they dont work for me.

Step-by-step explanation:

Answer:

We have a slope and a point, this way, we do not need to find the slope using two points. We can find the line using the Slope Form to turn it into Slope-Intercept Form, also known as "y = mx + b". We can use the Slope Form which is "y - y1 = m(x - x1)". A coordinate is "(x,y)", so that means, "(-1,4)" means that x = -1 and y = 4. We can substitute y1 for 4 and x1 for -1, and m for -5 since m is the slope. Plugging that information into the Slope Form Formula we get "y - 4 = -5(x - (-1))". We know that a negative with a negative turn positive, so we can use this information to change the formula to "y - 4 = -5(x + 1)". Now we distribute and simplify, these steps are shown below.

y - 4 = -5(x + 1)

y - 4 = -5x -5

y - 4 + 4 = -5x - 5 + 4

y = -5x - 1

Now that we have simplified it, we can see that the slope is -5 and the -1 is the y-intercept. To check this is a linear equation is to graph it, or substitute three x-coordinate or y-coordinates and draw a line. In conclusion, the equations is y = -5x - 1.

Step-by-step explanation:

Answer:

V=273

Step-by-step explanation:

V=L*W*H

V=12*6.5*3.5

V=273

Answer:D is the answer

Step-by-step explanation:

Answer:

it started off with 7 members

(read the whole explanation)

Step-by-step explanation:

Question: the chess club accepts 5 new members each week and it had 37 members after 6 weeks ? how many members per week and how many members did it start off with.

If the chess club accepts 5 each week and they had 6 members after 6 weeks you should multiply 5x6=30. We don't know when the chess club started.. it could be 6 or 7 weeks ago and I'm pretty sure we all know that 7x5=35. but it only says 6 weeks ago so the answer is 7,

hope this helps!!!!

Answer:

La respuesta está abajo

Step-by-step explanation:

Un rayo numérico es una línea con un extremo. Un rayo comienza en un punto dado y se va en una dirección determinada para siempre, hasta el infinito. El punto donde comienza el rayo se llama el punto final.

por favor marca me brainliest con la corona

Answer:

Vertical Asymptotes: x=-5

Horizontal Asymptotes: y=7

Answer: TnT down

Step-by-step explanation:

What's given?

EG ≅ FG

∟EFG ≅ ∟FGH

What's something else we can figure out?

∠FGE ≅ ∠GFH - alternate interior angles

Can we prove these congruent?

We can prove this congruent by using AAS

Geez I think I'm losing my touch but I hope this is correct and it helped!

Answer:

18 cents per ounce

Step-by-step explanation:

The first step is to identify the unit. In this case, you are told you have 16-ounces. Therefore, your unit is an ounce.

To find the price of one ounce, just divide your price of $2.88 by 16.

Unit rate = $2.88 / 16 = 0.18 or 18 cents per ounce.

Answer:

5.53408980773 or 5.534

Step-by-step explanation:

Let's take AD as a, AB as b and DB as c

a2+b2 =c2

(8.98)2 + (6.47) 2 =c2

80.6404 + 41.8609 =c2

The number 2 is square . take it like square

122.5049 =c2

[tex] \sqrt{c \: \: } = \sqrt{122.5049 } [/tex]

C=11.0681796155

this valse is DB but the question say EB so dividend by 2 because rectangle diagonal are equal

So EB =11.0681796155/2

EB =5.5340890773

Answer:

18√5

Step-by-step explanation:

√9×√180

from √9 we get 3 cause 3² is 9.

from 180 we get 6√5 because √36×5 is √180.

we took 36 out because it gives us a whole number if we square root it.

So √36×5 is 6√5 , because the square root of 36 is 6

then we multiply 3 and 6√5.

3×6 is 18 so we put 18 and put the √5 behind it.

Answer:

Step-by-step explanation:

Infinity solutions

Answer:

The answer is Table B. Because only table B. doesn't have repeating x or domain.