Lydia bought a car for 20,000. It is expected to depreciate at a rate of 10% per year. What will be the value of the car in 2 years? use y=a(1-r)^t and round to the nearest dollar

Answer:

v = lhw

Step-by-step explanation:

[tex]\frac{v}{lh} = w[/tex]

v = lhw

Answer:

The coordinates of the point N is (2,3)

Step-by-step explanation:

For us to find the midpoint between two points

We use the midpoint formula which is;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

We start by finding the midpoint of AB to get the coordinates of the point M

A(-1,3) and B(7,-3)

(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)

Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N

C(1,6) and M (3,0)

(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)

Answer:

[tex]13x+4y+12[/tex]

Step-by-step explanation:

Combine all the like terms & then solve:

[tex](4x+2x+7x)+(-5y+9y)+(4+6+2)[/tex]

[tex]13x+4y+12[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]4x - 5y + 2x + 4 + 6 + 9y +7 x + 2[/tex]

Combining like terms, we have

= [tex] \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)[/tex]

= [tex] \: 13x + 4y + 12[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

the rules regarding the vertex of a quadratic function are:

the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.

Hope This Helps!!!

Answer:

A,785000

B,429900

A,6450

Answer:

1a- 784500 & 785499

b- 4528499 & 4527500

2a- 23749 & 23650

b- 429949 & 429850

3a- 6445 & 6454

b- 88885 & 88894

Answer:

the first plan is better

this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher

2. the future value of option 1 is higher than that of option 2

Step-by-step explanation:

The effective annual rate can be used to determine which option is better

the option with the higher effective annual rate is the better option

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.07/12)^12 - 1 = 7.23%

option 2

EAR = e^r - 1

2.7182818^0.0685 - 1 = 7.09%

2nd method of determining the better investment is to determine the future value of each option

Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08

option 2 = 800e^(0.0685 x 6) = 1206.60

option 1 has the higher future value

Answer:6757.62

Step-by-step explanation:

use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.

Answer:

C. -7 or C. Negative seven

Answer:

Quadratic function

linear function

cubic function

Step-by-step explanation:

Answer:

[tex]x=\frac{125}{6},\\y=11[/tex]

Step-by-step explanation:

The angles marked [tex]7x-15[/tex] and [tex]5x-5y[/tex] are co-interior angles. Since all co-interior angles are supplementary (add up to 180 degrees), we have the following equation:

[tex]7x-15+5x-5y=180[/tex]

The two angles marked [tex]4x+4y[/tex] and [tex]2x+y[/tex] are also co-interior angles, thus must also add to 180 degrees.

Therefore, we have the following system of equations:

[tex]\begin{cases}7x-15+5x-5y=180,\\4x+4y+2x+y=180\end{cases}[/tex]

Combine like terms:

[tex]\begin{cases}12x-5y-15=180,\\6x+5y=180\end{cases}[/tex]

Divide the first equation by -2 and add both equations to get rid of [tex]x[/tex]:

[tex]\begin{cases}-6x+2.5y=-97.5,\\6x+5y=180\end{cases},\\-6x+6x+2.5y+5y=82.5,\\7.5=82.5,\\y=\boxed{11}[/tex]

Now substitute [tex]y=11[/tex] into any equation with [tex]x[/tex]:

[tex]6x+5y=180,\\6x+5(11)=180,\\6x+55=180,\\6x=125,\\x=\boxed{\frac{125}{6}}[/tex]

Verify that these two solutions work:

[tex](7(\frac{125}{6})-15)+(5(\frac{125}{6})-5(11))=180\:\checkmark,\\\\(4(\frac{125}{6})+4(11))+(2(\frac{125}{6})+11)=180\:\checkmark[/tex]

Answer:

x = 20

Step-by-step explanation:

Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent

∠ CBD = ∠ BCD = 40° , then

∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle

Sum the 3 angles of Δ ACD and equate to 180

20 + 100 + x + 40 = 180

160 + x = 180 ( subtract 160 from both sides )

x = 20

Answer:

31.57 cars is the answer rounded to the hundredth, but since its cars you might want to put just 31 since half a car cant pass through. it depends on what your teacher wants really.

Step-by-step explanation:

70=2.1n+3.7

70-3.7=2.1n

66.3=2.1n

66.3/2.1=n

31.57=n

The area of a semicircle with respect to radius is √2A/π sq. units.

A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.

The area of a semicircle = π × radius² / 2

So, the area with respect to radius will be =

A =  π × radius² / 2

2A = π × radius²

2A / π = radius²

Radius = √2A/π

Hence, the area of a semicircle with respect to radius is √2A/π sq. units.

Learn more about semicircles, click;

https://brainly.com/question/30023569

#SPJ7

Answer:

5y = x +15

Step-by-step explanation:

here you have to multiply both sides with 5 to make it a general form ,

5(y) = 5(1/5x) + 5(3)

5y = x + 15

Got a little help from app called Gauthmath. It got concept videos and tutors. You can check it on Play Store and App Store. Really good app in my opinion.

Hope this helps. :)

Answer:

Step-by-step explanation:

First, let's find the area of the triangle. The Area of a triangle can be modeled as

b x h x 1/2; base = 6 and the height equals 8. 6x8=48 then don't forget to divide by 2. 48/2= 24

To find the area of a half-circle, you first need to find the area of the whole circle. Whole circle area equation = r^2 times pi. The diameter is 8 and the radius is 1/2 times the diameter, therefore the radius = 4. 4^2= 16

16pi= approximately 50.24

50.24/2= 25.12

25.12 + 16 = 41.12

The area of the figure is approximately 41.12 ft^2

Hope this helps and please mark me brainliest, it really helps!

:)

Answer:

49.12 ft²

Step-by-step explanation:

The compound figure includes both a right angled triangle and a semi-circle. To find the area of the figure, it is best to find the area of both shapes then add them.

Area of semi-circle = (πr²) ÷ 2

= (3.14 × 4 × 4) ÷ 2

= 50.24 ÷ 2

= 25.12 ft²

Area of triangle = [tex]\frac{1}{2}[/tex]bh

= [tex]\frac{1}{2}[/tex] × 6 × 8

= 24 ft²

Area of compound figure = Area of semi-circle + Area of triangle

= 25.12 + 24

= 49.12 ft²

Answer:

A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four

Answer:

9 yards

Step-by-step explanation:

A square has 4 congruent sides

Given the perimeter, the sum of the 4 sides is 36 yards, then

length of side = 36 ÷ 4 = 9 yards

Answer:

The bells will ring simultaneously at 11.00 a.m

Step-by-step explanation:

Firstly, what we have to do here is to get the lowest common multiple the three numbers

The numbers are the given minutes

These are 30,36 and 45 minutes

The lowest common multiple of these three is 180 minutes

Now, we convert this to hours

60 minutes = 1 hour

180 minutes = x hours

x * 60 = 180 * 1

x = 180/60

x = 3 hours

If we added this to 8 am, we have 8 + 3 = 11 a.m

The answer for the following question is 12i.

Answer:

t + u = 10 + 2i

Step-by-step explanation:

t + u

= 4 + 6 + 2i ← collect like terms

= 10 + 2i

Answer:

29 ; 37

Step-by-step explanation:

The figure is composed by a square, a rectangle, and a right triangle

The perimeter of the square is 6 units

The perimeter of the rectangle is 10 units

The triangle is composed by a side of 6 units and a side of 5 units

The third side can be find with the Pythagorean theorem

[tex]\sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61}[/tex] = 7,81025

The total perimeter is

6 + 10 + 5 + 7,81025 = 28,81025 = 29

Area of the square = 2^2 = 4 square units

Area of the rectangle = 6 x 3 = 18 square units

Area of the triangle =  (5 x 6)/2 = 15 square units

Total area = 4 + 18 + 15 = 37 square units

Answer:

a) 11,129

b) 2,625,966

I think that the answer

Answer:

The one on the right

Step-by-step explanation:

Because it is 4 then 3

Answer:

the second one (the one to the right)

Step-by-step explanation:

Answer:

why arent you doing the quiz yourself do it yourself thats cheating.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that the equation of a circle is:

(

x

−

a

)

2

+

(

y

−

b

)

2

=

R

2

where a and b are the coordinates of the center, and R is the radius.

So in this question we have to complete the squares:

x² + y² - x - 2y - 11/4 = 0       ->

x² - x + 1/4 + y² - 2y = 11/4 +1/4     ->

(x - 1/2)² + y² - 2y + 1 = 12/4 + 1     ->

(x - 1/2)² + (y - 1)² = 4

Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2

      x² + y² - x - 2y - 2³/₄ = 0

               x² + y² - x - 2y = 2³/₄

               x² - x + y² - 2y = 2³/₄

(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4

             (x - 1)² + (y - 2)² = 7³/₄

The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).

Answer:

3

Step-by-step explanation:

the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.

Hope this helps

Answer:

III

Step-by-step explanation:

you got this, man! good luck [:

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Answer:

.000066

Step-by-step explanation:

move decimal places five places to the left

Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

Answer:

-3/2

Step-by-step explanation:

simply make y the subnext of the equation

Answer:

Step-by-step explanation:

3x - 2y = 18

-2y = - 3x + 18

y = 3/2 x - 9

slope of a parallel line would be M = 3/2