The value of a car with an initial purchase price of $15,250 depreciates by 16% per year. How much is the car worth after 6 years? Find f(6):

a=15,250

r=0.016

x=6

Please correct me if my rate is wrong please provide the work.

Answers

Answer 1

Answer:

$13842.43

Step-by-step explanation:

Given data

Value of car=$15,250

Rate of depreciation= 16%

Time = 6 years

We can use the exponential function below to model the value of the car after 6 years

v(t)= a(r)^x

But r= 1-0.016----------Because the value is depreciating

a=15,250  

r=0.016  

x=6

Substitute

v(t)= 15250(1-0.016)^6

v(t)=  15250(0.984)^6

v(t)=  15250*0.9077

v(t)= $13842.43

Hence the value will be $13842.43 after 6 years


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what is the equation of the line that passes through the points -7 -1 and has a slope of 1

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Answer:

Step-by-step explanation:

   y - y1 = m (x - x1)       the slope m = 1    (x1, y1) = (-7, -1)

   y - -1  = 1 (x - -7)

   y + 1  =  1 (x + 7)

         y = x +6

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Step-by-step explanation:

Since the chord is given as 80cm, we know from the definition of a chord that it is equidistant to both sides of the circle. Therefore, half the chord is 40. The extension of the center to the chord is perpendicular to the chord(definition of a chord). Therefore, if we connect the center of the circle to the edge of the chord, it's a right triangle. Also the center of the chord is the radius of the circle. Pytharogean theorem: 40^2 + 9^2=r^2   :   1681=r^2:     r=41. The radius is 41. Curcumference of circle: pi*2*r : pi*2*41 : pi*82= 258 cm.

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V = (4, 4 )

Step-by-step explanation:

Use the midpoint formula, the equation corresponding coordinates to the coordinates of the midpoint M

let V = (x, y ) , W = (8, 6 ) , then

[tex]\frac{x+8}{2}[/tex] = 6 ( multiply both sides by 2 )

x + 8 = 12 ( subtract 8 from both sides )

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and

[tex]\frac{y+6}{2}[/tex] = 5 ( multiply both sides by 2 )

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Answer:

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Cooper wrote checks on his checking account for $20, $20, $18, $20, and $35. He also deposited $53 in the account. Which number describes the change in the balance of his account?
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9. Simplify where possible:
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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

According to the information given in the word problem, she walks one-third of a mile each day.

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Step-by-step explanation:

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9. Select all the statements that must be true.

Parallelograms have four congruent sides

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Parallelograms have four congruent sides

The true statements about parallelograms are,

Both sets of opposite sides of a parallelogram are parallel and congruent.

A trapezoid is a parallelogram.

Diagonals of a parallelogram bisect each other.

What is a parallelogram?

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

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Diagonals of a parallelogram bisect each other.

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyhhhhhhhhhhhhhhhhhhhhhoooooooooooooooowwwwwwwwwwaaaaaaaaaaaaaaaaaarrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeyyyyyyyyyyyyooooooooooouuuuuuuuuuuudddddddddoooooooiiiiiiinnnnnnng

A store is advertising a sale with 10% off all items in the store. The sales tax is 5%. A 55-inch

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Answers

Answer:

$812.25

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Given data

Cost of TV=  $855

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edge2021

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9514 1404 393

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Answers

Answer:

$41.25

Step-by-step explanation:

The original price is $25. You want to sell it for 65% more. To find this amount, we need to find 65% of 25.

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D

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I Looked at te graph and counted each space

Answer:

Step-by-step explanation:

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Write the number 6,800 in scientific notation.

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Answer:

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Step-by-step explanation:

Answer:

The answer is 6.8 × 103.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

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Answer:

I think it's B I really don't know though

Answer is B
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Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8). Which statements are true about these lines? Select three options. Line RS has a slope of 6. Line SW has an undefined slope. Line TV has a slope of 0. Lines RS and TV are parallel. Line SW is perpendicular to line RS, but not to line

Answers

Answer:

b, c, d.

Step-by-step explanation:

Statements 2) Line SW has an undefined slope, 3)Line TV has a slope of 0, and 4) Lines RS and TV are parallel are correct.

It is given that there are three lines RS, TV, and SW.

Line RS goes through (-8, 6) and (2, 6).

Line TV goes through (-6, -4) and (8, -4).

Line SW goes through (2, 6) and (2,-8).

It is required to find true statements.

Statements are:

Line RS has a slope of 6.Line SW has an undefined slope.Line TV has a slope of 0.Lines RS and TV are parallel.Line SW is perpendicular to line RS, but not to line TV.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]m=\frac{y_{2}-y_{1}}{{x_{2}-x_{1}}}[/tex]

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2. similarly finding line SW slope:

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3. similarly finding line TV slope:

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4. If the two lines are parallel then their slope will be equal.

   The slope of RS = The slope of TV.

   Hence RS and TV are parallel.

5. If two lines are perpendicular then their product of slope will be -1.

   Here we can see the product of the slope of SW and RS is not defined.

   Hence these two lines aren't perpendicular.

Therefore, statements 2, 3, and 4 are correct.

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