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3 years ago

7

Company A charges $50 rental fee and $20 per hour.Then Company B charges $35 rental fee and $25 per hour.At which hour do both c

ompanies cost the same ?

2 answers:

Scrat [10]3 years ago

4 0

Answer:

Hour 3.

Step-by-step explanation:

A B

Hour 1 $ 70 $60

Hour 2 $90 $85

Hour 3 $110 $110

KengaRu [80]3 years ago

3 0

For company a it would be at the 8th hour and they would be 210 and for company b it would be at the 7th hour

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3 years ago

How derivative of this absolute value function is like this!

Daniel [21]

Recall the definition of absolute value.

$|x| = \begin{cases} x & \text{if } x \ge 0 \\ -x & \text{if } x < 0 \end{cases}$

When $x$ ,

$|x| = x \implies \dfrac{d|x|}{dx} = 1$

When $x$ ,

$|x| = -x \implies \dfrac{d|x|}{dx} = -1$

The derivative does not exist at $x=0$ , since the one-sided limits

$\displaystyle \lim_{x\to0^-} f'(x) = -1$

and

$\displaystyle \lim_{x\to0^+} f'(x) = +1$

do not match.

So the derivative of $|x|$ is

$\dfrac{d|x|}{dx} = \begin{cases} 1 & \text{if } x > 0 \\ -1 & \text{if } x < 0 \\ \text{undefined} & \text{if } x = 0\end{cases}$

Now we can write this as

$\dfrac{d|x|}{dx} = \dfrac x{|x|} = \dfrac{|x|}x$

since

$x > 0 \implies |x| = x \implies \dfrac{|x|}x = \dfrac xx = 1$

and

$x < 0 \implies |x| = -x \implies \dfrac{|x|}x = -\dfrac xx = -1$

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1 year ago

A bicycle has a listed price of $646.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sale

Musya8 [376]

Answer:

$703.558125

Step-by-step explanation:

56.608125 + 646.95= $703.558125

3 0

3 years ago

Need a bit of help on the question please

VladimirAG [237]

Hello,

as 6^3=6*6*6=216
∛(-216)=-6

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3 years ago

Read 2 more answers

Samuel compared the monthly rental rates of two-bedroom apartments in Beverly and Lowell over the years. The results are shown i

Semenov [28]

Answer:

B. Only the monthly rental cost of apartments in Lowell is changing exponentially.

Step-by-step explanation:

To identify how the values of the monthly costs of the departments are changing, we must do a test.

The test consists of taking an element $n_{-1}$ and the element n of the series, and dividing $\frac{n}{n_{-1}} = a$

Then take the element $n_{+1}$ and the element n and divide $\frac{n_{+1}}{n} = b$

If b = a, then the exponential function of base "b"

But if b> a, then the rate of change of the function is not exponential

For example. For the cost of apartments in Beverly

$n_{-1} = 1870\\n = 1890\\n_{+1} = 1950\\\\\frac{n}{n_{-1}} = \frac{1890}{1870} = 1.011\\\\\frac{n_{+1}}{n} = \frac{1950}{1890} = 1.032\\\\1,032> 1,011$

So, the cost of apartments in Beverly does not increase at an exponential rate.

We do the same for the cost of the apartments in Lowell.

$n_{-1} = 1600\\n = 1680\\n_{+1} = 1764\\\\\frac{n}{n_{-1}} = \frac{1680}{1600} = 1.05\\\\\frac{n_{+1}}{n} = \frac{1764}{1680} = 1.05\\\\1.05 = 1.05$

The rate is the same, so the prices increase exponentially.

Finally, the correct answer is option B: B. Only the monthly rental cost of apartments in Lowell is changing exponentially.

8 0

3 years ago