A car was bought for $20,000 and has depreciated at a rate of 10% yearly. Find the price of the car 8 years later.

Answer:

19

Step-by-step explanation:

[tex]\frac{17b - a^{2} }{2}[/tex]

Substitute the "a" and "b"

a = 8

b = 6

[tex]\frac{17 * 6 - 8^{2} }{2}[/tex]

[tex]\frac{17 * 6 - 64}{2}[/tex]

[tex]\frac{102 - 64}{2}[/tex]

[tex]\frac{38}{2}[/tex]

[tex]19[/tex]

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer: 22

Step-by-step explanation:

Solve for x

   1/2x + 7 = 18

Combine 1/2 and x.

  x/2+ 7 = 18

Move all terms not containing x to the right side of the equation.

Subtract 7 from both sides of the equation.

  x/2= 18 − 7

  x/2 = 11

Multiply both sides of the equation by 2.

  2 ⋅ x/2 = 2 ⋅ 11

Simplify both sides of the equation.

Cancel the common factor of 2.

  x = 2 ⋅ 11

Multiply 2 by 11.

  x = 22

Answer:

Step-by-step explanation:

1/6 x 1/5 + 1/30

= 1/30 + 1/30

= 2/30

=1/15

Let the two number is a and b

so,

product =ab=20

sum of square=[tex]\bold{a^2+b^2=41 }[/tex]

Then,

[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]

[tex]\bold{ (a+b)^2=41+2×40 }[/tex]

[tex]\bold{ (a+b)^2=81 }[/tex]

[tex]\bold{a+b=\sqrt{81} }[/tex]

[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)

Now,

[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]

[tex]\bold{ (a-b)^2=41-4×20 }[/tex]

[tex]\bold{(a-b)^2=41-40 }[/tex]

[tex]\bold{a-b=\sqrt{1} }[/tex]

[tex]\bold{a-b=1 }[/tex]••••••••(equation II)

Now,combine the equation I and equation II

we,get

[tex]\bold{a+b+a-b=9+1 }[/tex]

[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]

[tex]\bold{ 2a=10 }[/tex]

[tex]\bold{a=\dfrac{10}{2} }[/tex]

[tex]\blue{\boxed{ a=5 }}[/tex]

Then,

put the value of a in equation II.

we get that,

[tex]\bold{5-b=1 }[/tex]

[tex]\bold{b+1=5 }[/tex]

[tex]\bold{b=5-1 }[/tex]

[tex]\bold{\boxed{\blue{b=4}} }[/tex]

so,

The two number is 5 and 4.

Answer:

No significant difference between mean and Expected value

Step-by-step explanation:

Hypothesis

H0 : u = 77.5

H1: u is not equal to 77.5

Alpha = 0.05

Mean = Σxi/n

= 77.09+75.37+72.42+76.84+77.84, +76.69+78.03+74.96+77.54+76.09+81.12+75.75/12

= 919.74/12

= 76.645

We get the variance s² = xi² -n(barx)²/n-1

= 77.09²+75.37²...75.75²-12(76.645)²/11

When we solve this out

We get 4.3486818182

T test = barx - u/(s/√n)

= (76.645-77.5)/√4.3486818182/12

= -1.420293

T critical = Tn-1, alpha/2

= 2.200985

The test statistic is less than 2.201 so we accept the null hypothesis at 0.05 level of significance. And then conclude that there is No significant difference between mean and Expected value.

Answer:

P(A and B) = 0.12

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:

[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]

Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.

We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:

[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]

[tex]P(B\cap A)=0.2*0.6=0.12[/tex]

P(A and B) = 0.12

Answer:

yeah I would say deal #1 is better

Answer:

17 units

Step-by-step explanation:

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):

Let,

[tex] (x_1, y_1) = (-9, 5) [/tex]

[tex] (x_2, y_2) = (8, 5) [/tex]

Plug in the values into the distance formula:

[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]

[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]

[tex] d = \sqrt{(289 + 0)} [/tex]

[tex] d = \sqrt{289} [/tex]

[tex] d = 17 [/tex]

Answer:

70-25=45

45+25=70

Step-by-step explanation:

Answer:

p=5x+3y

solve for x, number of cupcakes. isolate x

5x=p-3y

divide by 5

x=(p-3y)/5

Step-by-step explanation:

D. x<15

Answer:

E. I, II and III

Step-by-step explanation:

Continuity correction is a theory in which addition or subtraction is made with the discrete variables. Continuity variable helps to find the single probabilities of the function and it removes some errors that are found in the modelling of discrete distribution.

Answer:

The slope intercept form is y=1/6x+1

Step-by-step explanation:

Answer:

first point goes on (0,1)

second point goes on (6, 1)

hope that helps :)

Step-by-step explanation:

(x is first, y is second)

Answer:

(-1,1)

Step-by-step explanation:

4x+2x+3=-3

6x+3=-3

6x=-6

x=-1

y=2(-1)+3

y=-2+3

y=1

Answer:

here you go...........

Answer:

45

Step-by-step explanation:

4.50 × 10 =45!

.

.

.

.

.

.?

.

.

.

.

.

Answer:

$15

Step-by-step explanation:

$4.50 time 3 = $13.50 (9 lbs)

$4.50 divided by 3 = $1.50 (1 lb)

$1.50 plus $13.50 = $15

Answer:

The value of 'x' will be;

⇒ x = 2√3

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

We know that;

⇒ tan θ = Perpendicular / Base

Here, Perpendicular distance = x

And, Base = 6

Substitute all the values, we get;

⇒ tan θ = Perpendicular / Base

⇒ tan 30° = x/6

⇒ 1/√3 = x/6

⇒ x = 6/√3

⇒ x = 2√3

Thus, The value of 'x' will be;

⇒ x = 2√3

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2

Answer: 829 3/4 or 829 75/100

Step-by-step explanation:

Answer:

29.8÷3=9.93333333333

Step-by-step explanation:

*note* the 3 is a repeating number

Step-by-step explanation:

[tex]x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know[/tex]

Answer:

x

Step-by-step explanation:

sorry idol grade 8 lng ako eh sensya kana godbless

========================================================

Work Shown:

s = sum of the heights of buildings A,B,C

s/3 = mean of the heights of buildings A,B,C

s/3 = 14.2

s = 3*14.2

s = 42.6

The buildings A,B,C have their heights add up to 42.6

--------------

r = sum of the heights of buildings A,B,C,D,E

r/5 = mean of the heights of buildings A,B,C,D,E

r/5 = 14.8

r = 5*14.8

r = 74

--------------

r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)

r-s = sum of the heights of buildings D and E

r-s = 74-42.6

r-s = 31.4

(r-s)/2 = mean height of buildings D and E

(r-s)/2 = 31.4/2

(r-s)/2 = 15.7 meters is the average height of buildings D and E.

Answer:

-3

Step-by-step explanation:

Answer:

B -3

Step-by-step explanation:

x- coordinate of a point is called abscissa and y-coordinate is called ordinate.

x-coordinate of point (-3, 5) is -3

Answer:

36pi

Step-by-step explanation:

Volume formula = 4/3 × pi × r^3

Answer:

30

Step-by-step explanation:

I could be wrong

The usual speed of Eric's mother is 4 miles per hour .

Eric´s mother drives to work in 20 min when driving at her usual speed.

Let the usual speed of Eric's mother be "u"  miles per hour (mph)

When the traffic is bad she drives 10 miles per hour slower.

The speed of Eric's mother when the traffic is bad = u-10 mph

The time taken by Eric's mother when the traffic is bad = 30 min

[tex]\rm Displacement = \dfrac{Velocity }{Time }[/tex]

The considering the displacement  in both  the cases is same hence we can

say that

[tex]\rm \dfrac{u}{20/60} = \dfrac{-(u-10)}{30/60} \\\rm 3u = -2u +20 \\5u = 20 \\u = 4[/tex]

So the usual speed of Eric's mother is 4 miles per hour .

For more information please refer to the link given below

https://brainly.com/question/23294846

Answer:

Its all of them or just 6

Step-by-step explanation:

Answer:

The chart has the steepestt slope

Step-by-step explanation:

The graph has a slope of -3 since it is falling

ANd the table gets you a slope of 1

1>-3

So the table/chart has the steeper slop

Answer:

daaaaaaaaaa

Step-by-step explanation:

ssdddsss