You have decided to purchase a car for $22,346.16. The credit union requires a 10% down payment and will finance the

balance with a 5.4% annual interest loan for 36 months. The sales tax in your city is 7.6%, and the license and title

charges are $125.13. Determine the amount that the credit union will finance you for. Round your answer to the nearest

cent.

a $24,179.10

c. $21,761.20

b. $24,169.60

d. $21,752.64

9514 1404 393

Answer:

  18750

Step-by-step explanation:

The recursive relation describes a geometric sequence with a first term of 6 and a common ratio of 5. The general term will be ...

  an = 6·5^(n -1)

So, the 6th term will be ...

  a6 = 6·5^(6-1) = 6·3125

  a6 = 18750

The radius of circle P is 4, and OP is also a radius of circle P, so OP = 4.

Answer:

The team lost 9 matches

Step-by-step explanation:

Given

[tex]Matches = 30[/tex]

[tex]Lost = \frac{3}{10}[/tex] of the matches

[tex]Draw = 3[/tex]

Required

Determine the number of matches lost

From the question, we have:

[tex]Lost = \frac{3}{10}[/tex] of the matches

Mathematically, this is:

[tex]Lost = \frac{3}{10} * Matches[/tex]

Substitute 30 for Matches

[tex]Lost = \frac{3}{10} * 30[/tex]

[tex]Lost = \frac{3* 30}{10}[/tex]

[tex]Lost = \frac{90}{10}[/tex]

[tex]Lost = 9[/tex]

The team lost 9 matches

Answer:

11.25cm

Step-by-step explanation:

1.5x3=4.5

4.5x2=9

1.5x1.5=2.25

9+2.25=11.25

the answer is number 3

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

Answer:

3.25 or 3 1/4 inches

Step-by-step explanation:

A = lw

22.75 = 7w

w = 3.25 which is 3 1/4

Answer:

78 feet

Step-by-step explanation:

assuming it's the perimeter

25 + 25 + 14 + 14 = 78

The length of the string of the lights is 78 feet.

P = 2(l + w), where 'l' is the length of the rectangle and  w is the width of the rectangle

For given example,

Len has a rectangular wooden deck that measures 14 feet by 25 feet that he wants to put a string of light around.

The length of the string of the lights = the perimeter of the rectangular wooden deck

Here, length of the deck (l) = 25 ft.

width of the deck (w) = 14 ft.

Using the formula of the perimeter of the rectangle,

⇒ P = 2 × (l + w)

⇒ P = 2 × (25 + 14)

⇒ P = 2 × 39

⇒ P = 78 ft.

The perimeter of the rectangular wooden deck is 78 feet.

Therefore, the length of the string of the lights is 78 feet.

Learn more about the perimeter of the rectangle here:

https://brainly.com/question/15287805

#SPJ2

Answer:

14

Step-by-step explanation:

Cube Root

[tex] {p}^{3} = 8 \\ p = \sqrt[3]{8} \\ p = \sqrt[3]{ 2\times 2 \times 2} \\ p = 2[/tex]

Formula

[tex] {p}^{3} - 8 = 0[/tex]

Use the following formula.

[tex] {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )[/tex]

[tex](p - 2)( {p}^{2} + 2p + 4)[/tex]

The expression p²+2p+4 has the discriminant less than 0 ( D < 0 ).

Thus, remove the expression and leave only p-2

[tex]p - 2 = 0 \\ p = 2[/tex]

Substitution

The most obvious number that multiplies itself three times and equal 8 is 2.

Substitute p = 2

[tex] {p}^{3} = 8 \\ {2}^{3} = 8 \\ 2 \times 2 \times 2 = 8 \\ 8 = 8[/tex]

The equation is true, thus 2 is the answer.

Answer:

x=8 & x=6

Step-by-step explanation:

Answer:

X= X2+48/14

Step-by-step explanation:

Answer:

its triangle shown in attached figure

Step-by-step explanation:

Graph is attached

Answer:

Step-by-step explanation:

First, lets simplify everything in the parenthesis.

(3×10^​2 ​​ )×(2×10^​−4 ​​ )= ​​

In the parenthesis, since exponents come before multiplication in the order of operations, we need to do the exponents first.

(3 • 100) • (2 • 1/10^4)

Now, we can just multiply everything from left to right to get:

6*10^-2

Or

.06

Answer:

Y=3

Step-by-step explanation:

Multiply 4x3 to get 12. 12-7=5.

Hope it helps!

Answer:

3

Step-by-step explanation:

4y=5+7

4y=12

y=12/4

y=3

Answer:

a) Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

b) Los dos números son: 57 y 24

Step-by-step explanation:

Estamos tratando con 2 números

Dejar

El primer número = x

El segundo número = y

La suma de dos números es 81.

x + y = 81 ...... Ecuación 1

La diferencia de los mismos dos números es 33.

x - y = 33 ....... Ecuación 2

Escribe un sistema de ecuaciones para representar esta situación.

x + y = 81 ...... Ecuación 1

x - y = 33 ....... Ecuación 2

Resolvemos estas ecuaciones usando el método de eliminación

Restamos la ecuación 2 de la ecuación 1 para eliminar

2y = 48

y = 48/2

y = 24

Resolver para x usando la Ecuación 1

x + y = 81 ...... Ecuación 1

x + 24 = 81

x = 81 - 24

x = 57

Por lo tanto, los dos números son: 57 y 24

Answer: C. $16.80

Step-by-step explanation:

Answer:

C.) $16.80

Step-by-step explanation:

Find what 8% as a decimal is: move the decimal to the right 2 times.=.08

Multiply: .08 times 210

.08 times 210 = 16.8

16.8= 16.80

$16.80

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good night/day/afternoon!!!

Answer:

(2, -3)

x = 2

y = -3

Step-by-step explanation:

Answer:

y=3,x=8

Step-by-step explanation:

y=x-5

y=-7x+11

x=y+5

y=-7(y+5)+11

y=-7y-35+11

8y=24

y=3

3=x-5

x=8

Answer:

f(3)=-11

in other words

When x=3, y=-11

Step-by-step explanation:

f(x)=-3x-2

f(3)=-3(3)-2

f(3)=-9-2

f(3)=-11

Answer:

Sam: $30; Bethan: $24

Step-by-step explanation:

Since the ratio is 5:4 Sam has to pay 5/9 of the total which is 54. To find how much he pays set up the equation like this.

[tex]\frac{x}{54} =\frac{5}{9}[/tex]

Cross Multiply

54(5)=9x

270=9x

Divide by 9

30=x

So Sam pays $30. To find out how much Bethan pays simply subtract 30 from 54

54-30=24

So Bethan pays $24

Answer:

[tex]\frac{4}{3x-4}[/tex]

Step-by-step explanation:

The first thing we do to solve this is factor is completley

You can factor out a 4 from the numerator and get

4(3x+4)

The denominator is a  difference of squares which means that

(x^2-y^2)=(x-y)(x+y)

which means that 9x^2-16=

(3x-4)(3x+4)

Put these together and get

[tex]\frac{4(3x+4)}{(3x-4)*(3x+4)}[/tex]

The 3x+4 cancels out and we get left with

[tex]\frac{4}{3x-4}[/tex]

Answer:

I think it is $720

Let me know if this is right.

Answer:

(-2, 28)

(-1, 24)

(0, 20)

Step-by-step explanation:

You can plug any numbers in for x, and solve for y.

Example: 4(-2) + y =20     multiply 4 and -2

                   -8 + y = 20     add 8 to both sides

                          y = 28

You can then do this for the rest of the numbers. Here is a table below:

the answer is six

I'm sure