Triangle ABC is transformed to obtain triangle A'B'C'. Identify the transformation.

An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.

The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379

I've added the missing data as an attachment.

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Where:

[tex]a \to[/tex] the first term

[tex]b \to[/tex] rate

[tex]x \to[/tex] years after 1999

[tex]y \to[/tex] depreciated value

When [tex]x = 0\ \&\ y=12500[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]12500 = ab^0[/tex]

[tex]12500 = a*1[/tex]

[tex]12500 = a[/tex]

[tex]a =12500[/tex]

When [tex]x = 1\, \&\ y = 10750[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]10750 = ab^1[/tex]

[tex]10750 = ab[/tex]

Substitute [tex]a =12500[/tex]

[tex]10750 = 12500 \times b[/tex]

Solve for b

[tex]b =\frac{10750 }{12500}[/tex]

[tex]b =0.86[/tex]

So, the equation is:

[tex]y = ab^x[/tex]

[tex]y = 12500(0.86)^x[/tex]

To calculate the depreciated value in 2010, we first solve for x in 2010

[tex]x = 2010 - 1999[/tex]

[tex]x = 11[/tex]

So, the depreciated value (y) is:

[tex]y = 12500(0.86)^x[/tex]

[tex]y = 12500 \times 0.86^{11}[/tex]

[tex]y = 2379[/tex]

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Answer:

51

Step-by-step explanation:

180-86-43=51

Answer:

1

Step-by-step explanation:

any thing times 1 is 1

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

[tex]Standard \; deviation = \sqrt{variance}[/tex]

Substituting into the formula, we have;

[tex]Standard \; deviation = \sqrt{16}[/tex]

Standard deviation = 4

Answer:

Step-by-step explanation:

As,

In a constant term the power of the variable is zero, so it's degree is 0.

Eg:

[tex]4 {a}^{0} [/tex]

Since,

[tex] {x}^{0} = 1[/tex]

Hence,

4 × 1 = 4

Here, The value remains unchanged hence it is the constant variable.

Step by step explanation :

The two points are ,

We can find the midpoint by finding the median of x coordinate and y coordinate .

[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]

Answer:

x=(-45)

Step-by-step explanation:

2+8+9+x+7+12=7

38+x=7

x=(-45)

38+(-45)=7

Answer:

442

Step-by-step explanation:

624-183= 442 he needs to drive 442 miles more

Answer:

If you were marking these fractions on a number line, keep in mine that 1/2 is equivalent to 2/4. If each sides of the number line are divided into four parts per whole number, this info is useful.

Step-by-step explanation:

Hope this helped!

Answer:

Thanksgiving, median = 17

New year's eve, median = 8

Thanksgiving, IQR = 12

New year's eve, IQR = 10

THANKSGIVING has greater variability

Step-by-step explanation:

The median value of a box plot is the line which lies in the middle of the box :

From the plot, the best estimate :

Thanksgiving, median = 17

New year's eve, median = 8

THE Interquartile range, IQR is the difference between the upper quartile and lower quartile values, Q3 - Q1 ;

Lower quartile = the starting point of the box

Upper quartile = the endpoint of the box

From the plot ; Best estimate :

Thanksgiving :

Q1 = 12 ; Q3 = 24

IQR = Q3 - Q1 = 24 - 12 = 12

New year's eve :

Q1 = 5 ; Q3 = 15

IQR = Q3 - Q1 = 15 - 5 = 10

Thanksgiving :

Range = Maximum - Minimum

Range = (29 - 5) = 24

New year's eve:

Range = Maximum - Minimum

Range = 22 - 3 = 19

Hence, Thanksgiving has greater variability

Answer:60

Step-by-step explanation:

Answer:

length 21yd

width 15yd

Step-by-step explanation:

Actually it does factor

x(x+6)=315

x²+6x=315

x² +6x - 315 = 0

(x+21)(x-15) = 0

x= -21. discard as can’t have a negative distance

x=15

So dimensions are 15 and 21

Answer:

nose de ecuaciones sorry :c

Step-by-step explanation:

Answer:

your answer will be 64 inch on your mathematics problem

Answer:

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Did not receive an above average grade.

Event B: Did not attend class regularly.

Probability of an student not receiving an above average grade:

100 - 40 = 60% of 70%(attend class regularly).

100 - 10 = 90% of 100 - 70 = 30%(do not attend class regularly).

So

[tex]P(A) = 0.6*0.7 + 0.9*0.3 = 0.69[/tex]

Did not receive an above average grade and did not attend class regularly:

90% of 30%. So

[tex]P(A \cap B) = 0.9*0.3 = 0.27[/tex]

Find the probability that the student did not attend class regularly given that (s)he did not receive an above average grade

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.27}{0.69} = 0.3913[/tex]

0.3913 = 39.13% probability that the student did not attend class regularly given that (s)he did not receive an above average grade

(a) The amount financed is $22,000.

(b) Total amount of monthly payments is $31,500.

(c) Amount of the finance charge is $9,500.

Down payment is the amount which has to be paid at the beginning of a transaction while buying a house or a car.

Given that,

Purchase price of the car = $27,000.00

Down payment = $5,000.00

Number of monthly payments = 60

Amount of monthly payment = $525

(a) Amount financed = Purchase price - Down payment

                                  = $27,000.00 - $5,000.00

                                  = $22,000

(b) Total amount of monthly payments = 60 × $525

                                                                = $31,500

(c) Amount of the finance charge = $31,500 - $22,000

                                                       = $9,500

Hence the amount financed is $22,000.

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Answer:

Your answer is 320

Step-by-step explanation:

Answer:

w=15

Step-by-step explanation:

The way I found the answer is dividing 120 by 8 which equaled 15 and I made sure it was correct as I multiplied 8 by 15 and the answer was 120.

Answer:

$90

Step-by-step explanation:

The shoes now cost 130% of the original cost

The original cost is 100%

Take the new amount and divide it by 130:

117/130 = .90

Then multiply that number by 100 to get the original percent

.90 x 100 = $90

To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117

$90 x 1.30 = $117

Answer:

I think is the last one I don't know but I can give you the explanation down to the step by step equation

Step-by-step explanation:

In a box plot the left side the left corners of that box represents Q1, the right corners of the box represents Q3. The line inside the box represents the median of the data

Answer:

it might be A but dont trust me

Step-by-step explanation:

Answer:

A

Hope that helps!

Step-by-step explanation:

Answer:

i think b (super clean)

Step-by-step explanation:

Answer: 128

Step-by-step explanation:

day 1: 1

day 2: 2

day 3: 4

day 4: 8

day 5: 16

day 6: 32

day 7: 64

day 8: 128

ALSO.

you can solve it by doing 2 to the power of 8

2^8 is the expression

Answer:

The radius is 12.

Step-by-step explanation:

You're given the center and a point on the circle. The point and the center both have an x-coordinate of -5, so there is no horizontal distance between them. The distance is only in the vertical direction. The distance from 8 to -4 is 12. Since this is the distance from the center to a point on the circle, this equals the radius.

Answer:

81 degrees

Step-by-step explanation:

Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.

Given the following:

We would therefore have the following:

1/2(ADB) = m∠EAB

Substitute

1/2(162) = m∠EAB

m∠EAB = 81°

Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

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Answer:

9

Step-by-step explanation:

3+3+3=9

Answer:

9

Step-by-step explanation:

3

6

9

Answer:

Step-by-step explanation:

= 4 + (-2)/ -3 + 3

= 4 - 2/ -3 + 3

= 2/0 If the denominator is 0, the value is undefined.

Answer:

2/0, which would be undefined.

Step-by-step explanation:

Answer:

vertical angles is the answer