In the year 2005, a person bought a new car for $27500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2008, to the nearest hundred dollars?

Answer:

I swear If I was him I would have done at least 4 by 2

an hour

Step-by-step explanation:

but according to him 2 by 4

Answer:

[tex] PD = 18 [/tex]

[tex] EQ = 4 [/tex]

Step-by-step explanation:

Given:

AP = 3,

PQ = 5,

QB = 7,

CP = 2,

QD = 14

Required:

1. PD

2. EQ

SOLUTION:

1. Based on Intersecting Chords Theorem,

[tex] AP*PB = CP*PD [/tex]

AP = 3

PB = PQ + QB = 5 + 7 = 12

CP = 2

PD = ?

Plug in the values into the equation

[tex] 3*12 = 2*PD [/tex]

[tex] 36 = 2*PD [/tex]

Divide both sides by 2

[tex] \frac{36}{2} = PD [/tex]

[tex] 18 = PD [/tex]

[tex] PD = 18 [/tex]

b. Based on Intersecting Chords Theorem,

[tex] EQ*QD = AQ*QB [/tex]

EQ = ?

QD = 14

AQ = AP + PQ = 3 + 5 = 8

QB = 7

Plug in the values into the equation

[tex] EQ*14 = 8*7 [/tex]

[tex] EQ*14 = 56 [/tex]

Divide both sides by 14

[tex] EQ = \frac{56}{14} [/tex]

[tex] EQ = 4 [/tex]

Answer:

$0.60...$1.50

Step-by-step explanation:

Answer:

ALTERNATIVE 1

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-60x² + 275x) - (50000 + 30x)

P(x) = -60x² + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - 60x)

R(x) = -60x² + 275x

d. Find the marginal revenue function in terms of x.

R'(x) = (-60 · 2x) + 275

R'(x) = -120x + 275

The answers do not make a lot of sense, specially the profit and marginal revenue functions. I believe that the question was not copied correctly and the price function should be p = 275 - x/60

ALTERNATIVE 2

a. Find the profit function in terms of x.

P(x) = R(x) - C(x)

P(x) = (-x²/60 + 275x) - (50000 + 30x)

P(x) = -x²/60 + 245x - 50000

b. Find the marginal cost as a function of x.

C(x) = 50000 + 30x

C'(x) = 0 + 30 = 30

c. Find the revenue function in terms of x.

R(x) = x · p

R(x) = x · (275 - x/60)

R(x) = -x²/60 + 275x

d. Find the marginal revenue function in terms of x.

R(x) = -x²/60 + 275x

R'(x) = -x/30 + 275

Answer:

8.25 years

Step-by-step explanation:

hope this helps :)

Answer:

y=4x-7

Step-by-step explanation:

y=4x+6 (1,-3)

y=mx+b

m= 4 (1,-3)

y-(-3)=4(x-1)

y+3=4x-4

-3 -3

y=4x-7

Answer:

20/41 (it can't be reduced or simplified)

Step-by-step explanation:

41 is a prime number hence cannot be divided by anything.

Therefore, 20/41 simplified is still 20/41 and in decimal format is 0.488(3 d.p)

Answer:

60-12=48min

Step-by-step explanation:

Kimberly takes 12 min, 1/5 of 60 min.

Answer:

114 is the value of x in bottom triangle

Step-by-step explanation:

40+26+x=180

or,66+x=180

or,x=180-66

or,x=144

Answer:

1.having less value.EXAMPLE: 4 is less than 12

2.having greater value.EXAMPLE: 6 is greater than five

3.having the same or less value.EXAMPLE: 13 is less than or equal to 13

4.having the same or greater value.EXAMPLE: 14 is greater than or equal to 7

Step-by-step explanation:

Answer:

y = 6x + 100

Step-by-step explanation:

Slope-intercept form is y = mx + b, where m is the cost to produce each item and b is the fixed cost. Let's input the given values for m and b into the equation:

y = 6x + 100

This is the cost equation. $6 multiplied by x amount of items pluss the fixed cost of $100 gives you the total cost (y) to produce x amount of items.

Hope this helps :)

The sequence 2,5,8,..... The sum of the 1st 36 terms in arithmetic sequence is 1962.

Given that,

The sequence 2,5,8,.....

We have to find the sum of the 1st 36 terms of the sequence.

We have an sum of the sequence formula from arithmetic sequence.

The sum of all the digits in an arithmetic sequence is determined using the sum of the arithmetic sequence formula. Remember that the addition of the members is the definition of a finite arithmetic sequence. The typical order of the arithmetic sequence is (a, a + d, a + 2d,...), with "a" standing for the first term and "d" for the common difference.

Sum of the arithmetic sequence is S = n/2 {2a + (n − 1) d}

Where

S is the total of the mathematical sequence,

a is the first term,

d is difference of the terms,

n is number of terms in the sequence.

So, now a =2, n=36,d=5-2=3

S=36/2{ 2×2+(36-1)×3}

S=18{4+(35)×3}

S=18(4+105)
S=18×109

S=1962

Therefore, the sum of the 1st 36 terms in arithmetic sequence is 1962.

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Answer:1/3

Step-by-step explanation:

Answer:

[tex]\frac{16}{x} = \frac{80}{100}[/tex]  

Step-by-step explanation:

To set up this proportion, we know that 16 must correspond with 80% and the x, the number we're looking for must correspond with 100%

[tex]\frac{16}{x} = \frac{80}{100}[/tex]

This would be the correct proportion, and you could simplify it to equal

[tex]\frac{16*100}{80}[/tex]

Answer:

THis equation is in slope-intercept form (y=mx+b)

in this equation m represents the slope.

Therefore 1/3 is the slope

1/3

Step-by-step explanation:

Answer: m = 1/3

Step-by-step explanation: Since the equation of this line is written

in slope-intercept or y = mx + b form, its slope or m is represented

by the coefficient of the x term which in this case is 1/3.

Answer:

10 (2 and 10 can both divide into it)

Answer:

Step-by-step explanation:

8/-36

-0.222222...

Answer:

Solve for  r

− √ 11  <  r  <  √ 11

Step-by-step explanation:

Generally:

- Vertical angles are congruent.   An example of vertical angles on the diagram are angles 1 and 4; they are opposite each other on the two intersecting lines.

When two parallel lines are intersected by a transversal:

- Corresponding angles are congruent.   Corresponding angles are angles on the same side of the transversal with corresponding positions, such as angles 2 and 5 in the diagram.

- Alternate interior angles are congruent.   Angles 3 and 5 are an example of alternate interior angles on the diagram.  They are contained within the interior of the two parallel lines, and are on opposite sides of the transversal.

- Alternate exterior angles are congruent.   These angles lie on the outside of the parallel lines and on opposite sides of the transversal.  Angles 1 and 7 are an example of alternate exterior angles.

Looking at the diagram, we can recognize that our given angle of 56° creates a vertical angle pair with angle 7; these angles are congruent.  Additionally, since corresponding angles are congruent, angles 4 and 7 are congruent.  Notice that angle 4 creates a vertical angle pair with angle 1, and that angle 1 also corresponds to the given angle.

The angles which are congruent to the given angle measure are:

∠1, ∠4 and ∠7

Answer:

The smallest possible value of the sum of their squares is 128.

Step-by-step explanation:

Let the first number = x

let the the second number = y

x +  y = 16

y = 16 -x

minimum value, f = x² + y²

f(x) = x² + (16-x)²

f(x) = x² + 256 - 32x + x²

f(x) = 2x² - 32x + 256

f(x)' = 4x - 32

4x - 32 = 0

4x = 32

x = 32 / 4

x = 8

The absolute minimum value of x = 8

y = 16 - x

y = 8

The smallest possible value of the sum of their squares is given by x² + y²;

=  (8)² + (8)²

= 128

Therefore, the smallest possible value of the sum of their squares is 128.

Answer:

Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%

Step-by-step explanation:

Percentage change = Change ie (New - Old)    x 100

                                        Old value

Suppose -

Number of interest groups in 1959 = 500

Number of interest groups in 1995 = 600

Percentage change = [ (600 - 500) / 500 ] x 100

( 100 / 500 ) x 100 = 20%

Answer: It’s A

Step-by-step explanation: C= -14/3 which is simplified to -4 2/3

Answer:

A.

Step-by-step explanation:

So you foil 2c and -5

Which will give you 5c+4=2c-10

Subtract 2c 5c-2c+4=2c-2c-10

Then You will get3c+4=−10

Step 3: Subtract 4 from both sides.

3c+4−4=−10−4

3c=−14

Step 4: Divide both sides by 3.

3c/3=-14/3

So it will be -14/3 which is -42/3

Which is A.

Answer:

36 sq ft

Step-by-step explanation:

The answer fam is 36 feet^2

Let width be x

Then, length be 4x

Perimeter=2(l+b)

30=2(4x+x)

30=2×5x

30=10x

x=3feet

Length=4×3=12 feet

Width=3 feet

Area=lb

=12×3=36 feet^2

$9.00

Hope you had a good Thanksgiving break, and I hope this helps.

2x-5+5>7+5

2x>12

2x partido de 2 > 12 partido de 2 :

x>6

The perimeter of the triangle ABC is the sum of the side lengths of the triangle

Using the assumed values, the perimeter of the triangle is 12 units

Assume the side lengths of the triangle are:

AB = 3

BC = 4

CA = 5

Then the perimeter (P) would be:

P = AB + BC + CA

This gives

P = 3 + 4 + 5 = 12

Hence, the perimeter of the triangle is 12 units

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