A new car is purchased for $35, 000 and over time its value depreciates by
one half every 6 years. What is the value of the car 14 years after it was
purchased, to the nearest hundred dollars?

Answer:

2/3.

Step-by-step explanation:

Full revolution = 12 hours

11 - 3 = 8 hors

So it is 8/12 = 2/3 of a revolution.

Answer:

x=[tex]\sqrt{7}[/tex]

Step-by-step explanation:

use the pythagorean theorem

since the two sides are the same you  

[tex]2x^{2} =14\\x^{2} =7\\x=\sqrt{7}[/tex]

Answer:

12 inches

Step-by-step explanation:

Find the lateral surface area of a triangular prism with bases edges 3 inches, 4 inches and 5 inches and altitude 8 inches.

The perimeter is the sum of the bases.

p=3+4+5=12 inches

Lateral Surface Area =12(8)=96  inches2

Answer:

180/19

Step-by-step explanation:

(10x)/15+(9x)/15＝5+7

19x＝12(15)

x＝180/19

Answer:

Another method to graph a line in the xy-axis or xy-plane is to use its intercepts. What are intercepts? These are points of the line that are found on the xx and yy axes. There are two kinds of intercepts.

The first one is called the x-intercept because it is the point of the line located on the horizontal axis (x-axis).

The second is the y-intercept which is the point of the line located on the vertical axis (y-axis).

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

There are 8 sections and skating is on 2 of the 8;  the probability is 2/8 = 1/4. It does not matter how many times it has appeared on previous spins.

The amount of money which is expected to lose if the game of spinner is played 1000 times is $111.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

You spin the spinner two times.

Let suppose there are total 12 outcomes on a spinner which has 12 blocks. In this block, 4 is blue. The probability of getting blue twice in this spinner and earning $15 is,

[tex]P=\dfrac{4}{12}\times\dfrac{4}{12}\\P=\dfrac{1}{9}[/tex]

The probability of not getting two blue in two spun and losing $2 is,

[tex]P^{-1}=1-\dfrac{1}{9}\\P^{-1}=\dfrac{8}{9}[/tex]

The money to expect to win or lose if you play this is,

[tex]E(X)=15\times\dfrac{1}{9}-2\times\dfrac{8}{9}\\E(X)=-0.111[/tex]

For 1000 games,

[tex]E(X)=-0.111\times1000\\E(X)=-111[/tex]

Thus, the amount of money which is expected to lose if the game of spinner is played 1000 times is $111.

Learn more about the probability here;

https://brainly.com/question/24756209

#SPJ1

Answer:

Solution

To solve the problem first we have simplify the improper fraction.

⇒ 33/4 ÷ 4 pounds.

= (4 × 3 + 3) /4 ÷ 4 pounds.

= 15/4 ÷ 4 pounds.

= 15/4 × 1/4 pounds.

= 15/16 pounds.

Now we know that, 1 pound = 16 ounces.

Therefore, 15/16 pounds .

= 15/16 × 16 ounces.

= 15/1

= 15

= 15 ounces.

Answer: 15 ounces.

3 3/4 pounds of rice divided equally in 4 containers.

the amount of ounces of rice each were in.

33/4 ÷ 4 pounds

= (4 × 3 + 3)/4 ÷ 4 pounds

= 15/4 ÷ 4 pounds

= 15/4 × 1/4 pounds

= 15/16 pounds

so, now:

1 pound = 16 ounces

hence, 15/16 pounds = 15/16 × 16 ounces

= 15 ounces

Answer:

28.5 inches

Step-by-step explanation:

PLS GIVE ME BRAINILIEST IF IT'S CORRECT!

Answer:

Angle 6= 109
Angle 6= 71

Step-by-step explanation:

Angle 4 and Angle 2 are equal because they are vertical angles, Angle 2 is also 109, Angle 6 is corresponding to angle 2, meaning angle 6 is also 109. To figure out angle 7 you simply do 180-109=71 and you get 71 for angle 7

Answer:

Step-by-step explanation:

<6 is the same since they are alternate interior angles meaning <6 is 109 degrees

7 is going to be a little more complicated.

180-109=71

<1,2,3 and 4 all share similar angles. 1 and 3 are similar, meaning 2 and 4 are also.

If 2 is 4 (109), then this means that 7 is 109 as it is the alternate exterior angle.

Answer:

=> 7√3

Step-by-step explanation:

Given :

∠ Q = 30°

RS/QR = tan 30°

7/QR = 1/√3

QR = 7√3

Answer:

the Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles.The four triangles are congruent with each other regardless whether they are rotated or flipped.The congruence of two objects is often represented using the symbol. △ABC  △DEF.the lengths of the corresponding sides and measures of the corresponding angles do not have to be explicitly shown to indicate congruence.

Step-by-step explanation:

hope this helps if not please let me now

Answer: the is c

Step-by-step explanation:  good luck !

Answer:

It's technically the same thing, because if we solve both of these the answer would be same.

First one says 70 percent part of 7 and the other one says 7 percent part of 70. However, if we solve both of these the answer will be same:

i) 70% of 7

= (70/100) × 7

= 4.9 answer

ii) 7% of 70

= (7/100) × 70

= 4.9 answer

So, here as you can see, through both the equations we get the same answer, which is 4.9 .

This is one of the basic principles of multiplication actually, where:

a × b = c

b × a = c

Therefore,

a × b = b × a

Hope that helps...

Answer:

4 = 22

Step-by-step explanation:

Factor 40 into its prime factors

          40 = 23 • 5

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          4 = 22

Factors which will remain inside the root are :

          10 = 2 • 5

To complete this part of the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          2 = 2

At the end of this step the partly simplified SQRT looks like this:

        2 • sqrt (10x4)  

Rules for simplifing variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

     (3.1) sqrt(x8)=x4

    (3.2) sqrt(x-6)=x-3

   (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     (4.1) sqrt(x5)=x2•sqrt(x)

    (4.2) sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

     SQRT(x4) = x2

  sqrt (40x4) =

       2 x2 • sqrt(10)

Simplified Root :

2 x2 • sqrt(10)

Step-by-step explanation:

thats the answer i think

Answer:

center of the circle is (5, -3) and radius of the circle is 8 units

Step-by-step explanation:

Find the center of the circle given by this equation:

x²-10x+y²+6y-30=0

for x

b= -10

for y

b=+6

complete the square

for x

(-10/2)² = 25

for y

(6/2)²=9

x²-10x+25

y²+6y+9

(x²-10x+25)+(y²+6y+9)+30=0+25+9

(x²-10x+25)+(y²+6y+9)=25+9+30

(x-5)²+(y+3)²=64

This is the form of a circle. Use this form to determine the center and radius of the circle

(x − h)² + (y − k)² = r²

Circle Equation

(x-a)² + (y−b) ² = r² is the circle equation with a radius r, centered at (a, b)

Rewrite x² - 10x + y² + 6y - 30 = 0 in the form of the standard circle equation

(x − h)² + (y − k)² = r²

(x - 5)² + (y-(-3))² = 8²

(x-5)² + (y+3)² = 8²

r=8

h=5

k=-3

signs of h and k are opposite of what they are inside the parenthesis

Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x- offset from the origin, and k represents the y-offset from origin.

r=8

h=5

k=-3

https://brainly.com/question/19375747

expii

Brian McLogan

Alex Federspiel

Answer:

85

Step-by-step explanation:

Answer:

There are 4 third grade classes

Step-by-step explanation:

12 packs of pencils

3 packs to each class so you are making groups of 3.  

12 ÷ 3 = 4

There are 4 third grade classes

3 packs × 4 classes = 12 packs of pencils

Answer:

Fraction: 23/18

Radians: 23π/ 18

Step-by-step explanation:

A semi circle is 180 degrees, so 230 degrees of a semi circle would be 230/180, or 23/18.

To convert degrees to radians, do the degree times π/180, so the answer is 23π/18

Answer:

need to know more

Step-by-step explanation:

Hey there!

3 * 2/3

= 3/1 * 2/3

= 3(2) / 1(3)

= 6 / 3

= 6 ÷ 3 / 3 ÷ 3

= 2 / 1

= 2 ÷ 1

= 2

Therefore, your answer is: 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

19

Step-by-step explanation:

100, 121, 144, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841 . are perfect squares in between 90 and 890, all together there are : 19

Answer:

  (b)  $1450

Step-by-step explanation:

For her debt-to-credit ratio to be 25%, Gwen must reduce her credit accounts balance to 25% of her limits of $6740. That balance will be ...

  0.25 × $6740 = $1685

__

To get her balance down to that amount, she must reduce it by ...

  $3135 -1685 = $1,450.00

Find length FD

FD is Opposite

BD adjacent

O + A is Toa

Tan20 = o/9

x9

9 x Tan20 = o

O = 3.2757.... (ans)

Opposite/ FD is 3.28cm to 2.p.d

Draw diagonal line from A to D & find its length - that's the hypotenuse of a right-angle created

Use Pythagoras Theorem

a^2 + b^2 = c^2

25^2 + 9^2 = c^2

Square root both sides to get c

C = root 25^2 + 9^2

= root 706

= 26.57066...(ans)

AD is 26.57cm

Now create another right-angle triangle A to F to D back to A.

Label dimensions found such as the Length of AD to be 26.57.. Plus, FD to be 3.28.

Use trig for angel FAD:

Opposite of triangle is 3.28

Adjacent is 26.57

So, OA means Toa, but we're after an angle & have to use tan inverse instead.

Tan-1 (3.28/26.57) = 7.0374..

So, the angle is 7.04 degrees.

(ans) - ignore, I did use rounded figures in my ans, I was originally not going to, but I did.

Hope this helps!

Answer:

0.7

Step-by-step explanation:

1+3+3+2+3+3 = 15/6 = 2.5

2+4+4+2+4 = 16/5 = 3.2

3.2-2.5 = 0.7

Answer:

I think its B

Step-by-step explanation:

Answer: B)14 hours open

(14+14)/2 =14

Step-by-step explanation:

15,15,8,12,12,14,14,16,8,17,18,15,12,

8,8,12,12,12,14,14,15,15,16,17,18

(14+14)/2 =14

Answer:

626

Step-by-step explanation: