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maxonik [38]
3 years ago
12

A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, t

o the nearest cent, after 11 years?

Mathematics
2 answers:
lozanna [386]3 years ago
7 0

Answer:

5744. 61 cents

Explanation:

after 1 year:

20700×89%=18423

after 2 years:

18423×89%=16396.47

after 3 years:

16396.47×89%=14592.8583

after 4 years:

14592.8583×89%=12987.64389

after 5 years:

12987.64389×89%=11559.00306

after 6 years:

11559.00306×89%=10287.51272

after 7 years:

10287.51272×89%=9155.886323

after 8 years:

9155.886323×89%=8148.738828

after 9 years:

8148.738828×89%=7252.377557

after 10 years:

7252.37757×89%=6454.616026

after 11 years:

6454.616026×89%=5744.608263

~5744.61 (nearest cent)

~

lana [24]3 years ago
7 0

Answer:

$25,047

Step-by-step explanation:

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John’s parents recorded his height at various ages between 36 and 66 months.
timurjin [86]

Answer:

Step-by-step explanation:

a)General least square regression line is ,

Y=a+(b*x)

Where,a=intercept. b= slope

To get line just find values of a and b.

Use Excel to find values.

First enter values of variable "age" that is y in the column A that is A1to A5 and values of variable "height" in the column B, B1 to B5.

Then for value of a use functufuas ,

=INTERCEPT(A1:A5,B1:B5)

Then hit enter ,therefore a=20.4595

For b use function as. =SLOPE(A1:A5,B1:B5)

Then hit enter.therefore b=0.3738

Therefore equation of least square regression line is

Y=20.4595+(0.3738*x)

b) to predict height at age 21 years or 252 month just put value of x=252 in the above equation.

Y=20.4595+(0.3738+252)

Y=20.4595+94.1976

Y=114.6571

Conclusion: height will be 114.6571 inches when age change by 1 unit.

7 0
2 years ago
Determine if the equation is linear. If so, graph the function.
musickatia [10]

Answer:

The equation is not linear

Step-by-step explanation:

You are given the equation

\dfrac{2}{x}+\dfrac{y}{4}=\dfrac{3}{2}

Express y in terms of x:

\dfrac{y}{4}=\dfrac{3}{2}-\dfrac{2}{x}\\ \\\dfrac{y}{4}=\dfrac{3x-4}{2x}\\ \\y=4\cdot \dfrac{3x-4}{2x}\\ \\y=\dfrac{6x-8}{x}

The linear function must of form

y=mx+b,

where m and b are real numbers.

Your function is not of this form, so this is not a linear function.

5 0
3 years ago
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
3 years ago
What’s the perimeter of this rectangle 2,5+D and 4-1,3D
koban [17]

Answer:

The result can be shown in multiple forms.

Exact Form:

2,5+D,4-1,3D

Decimal form;

2,5+D,3,3D

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

6 0
3 years ago
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
NemiM [27]

Answer:

- (x - 1) {}^{2}  + 5

Step-by-step explanation:

F(x) is a transformation from h(x).

So our starting equation is

- (x - 1) {}^{2}  - 1

F(x) is also facing the same direction h(x) is so we dont have to reflect nothing across the x or y axis.

There isn't a vertical or horizontal stretch, compressions.

There isn't a horizontal shift as the x values stay in the same place.

There is a vertical shift. We can simply move h(x) up 6 units to get to f(x).

So our equation looks like.

- (x - 1) {}^{2}  + 5

8 0
2 years ago
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