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3 years ago

8

For this project assume you by a new car for $45,000 and the car depreciates in value at a linear rate of $5000 per year. Write

a linear equation.

1 answer:

valina [46]3 years ago

3 0

45000-(5000*x) where x is the number of years that have passed.

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If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .

Tems11 [23]

Divide through everything by <em>b</em> :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}$

Since <em>a/b</em> < <em>c/d</em>, it follows that

$\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}$

Multiply through everything on the right side by <em>b/d</em> to get

$\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd$

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.

For the other side, you can do something similar and divide through everything by <em>d</em> :

$\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}$

and <em>a/b</em> < <em>c/d</em> tells us that

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}$

Then

$\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab$

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.

Then together we get the desired inequality.

5 0

3 years ago

What is the correct answer to 42r - 18

kotykmax [81]

Answer:

I'm working during the same thing

6 0

4 years ago

Read 2 more answers

What is 3x7/10 I need help as soon a possible homework is due tomorrow

Strike441 [17]

Answer:

$\frac{3 \times 7}{10} = \frac{21}{10}$

6 0

2 years ago

The floor at a roller skating rink is 72.25 feet long and 51.5 feet wide. How much longer is the rink than it is wide?

Phoenix [80]

72.25 - 51.5= <span>20.75
it is 20.75 feet longer</span>

3 0

3 years ago

The sum of 3 consecutive odd numbers is 183 whats the second number im this sentence

Naddik [55]

Answer:

The second number is 61

Step-by-step explanation:

It's implied that the first integer is odd.

Since the consecutive intergers are odd, use an equation that looks like this:

(x+2) + (x+2) + (x+2) = 183 and simplify

*If you add 2 to an odd number, you get the next odd number. That's why I used 2*

3x + 6 = 183 → 3x = 177 → x = 59 which means the first integer is 59. The consecutive integers is 59, 61, 63.

6 0

3 years ago