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lyudmila [28]
3 years ago
12

Jeff buys a car for $28,000. the vehicle depreciates by 16% each year. Which of the following is the common ratio of the sequenc

e representing the car’s value every year?
Mathematics
1 answer:
Yanka [14]3 years ago
4 0
Find the value of the car in the next year
value next year = (100% - 16%) × 28,000
value next year = 84% × 28,000
value next year = 84/100 × 28,000
value next year = 23,520
The value of the car in the next year is $23,520

Find the ratio
ratio = value of next year/value of recent year
ratio = 23,520 / 28,000
ratio = 0.84
The ratio is 0.84, it's the same with the percentage of value in the next year (84%)
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Simplify completely. (w^15/w^5)^4 <br> HELP PLEASE
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Answer:

w^{40}

Step-by-step explanation:

To simplify recall exponent rules:

1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.

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3. When we divide terms with the same bases, we subtract exponents.

4. When we have a base to the exponent of 0, it is 1.

5. A negative exponent creates a fraction.

6. When we raise an exponent to an exponent, we multiply exponents.

7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

Use rule #3 to simplify inside the parenthesis first.

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Graph the line whose y-intercept is -7 and whose x-intercept is 1
vesna_86 [32]

Answer:

y=7x -7

Step-by-step explanation:

We are given two points, the y - intercept and the x - intercept.

The y - intercept being: ( 0, -7 )

The x - intercept being: ( 1, 0 )

The equation of a line in slope - intercept form is:

y = mx + b, where m is the slope and b is the y - intercept.

We already have the y - intercept. So far we have:

y = mx - 7

What we're missing is the slope.

To find the slope, we can use this formula:

\frac{y_{2}-y_{1}  }{x_{2}-x_{1}}, where x_{2} and x_{1} are the x - coordinates of both points and y_{2} and x_{1} are the y - coordinates of both points.

m=\frac{0-(-7)}{1-0} \\\\m=\frac{7}{1}\\m=7

We now have the missing piece, the slope, so the equation now is:

y=7x -7

3 0
3 years ago
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