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avanturin [10]
3 years ago
5

Two functions f and g are given. Show that the growth rate of the linear function is constant and that the relative growth rate

of the exponential function is constant. ​f(t)equals160plus8.5​t, ​g(t)equals160 e Superscript t divided by 8 What is the growth rate of the linear​ function
Mathematics
1 answer:
joja [24]3 years ago
6 0

Answer:

  linear function growth rate: 8.5

Step-by-step explanation:

The growth rate of the linear function is the coefficient of t: 8.5. (It is a constant.)

__

The growth rate of g(t) is its derivative: g'(t) = (1/8)(160e^(t/8)) = 20e^(t/8). Then the relative growth rate is ...

  g'(t)/g(t) = (20e^(t/8))/(160e^(t/8)) = 20/160 = 1/8

It is a constant.

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trasher [3.6K]

Answer:

She has $10 left.

Step-by-step explanation:

There are 13 tags. Every tag is 5$.

13 tags times 5 dollars equals 65 dollars spent.

75 dollars minus 65 dollars spent = 10 dollars left.

Ruby has 10 dollars left.

3 0
3 years ago
Which expression shows the result of applying the distributive property to −2(13x−15)−2(13x−15) ?
defon
D is the answer good luck

3 0
3 years ago
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Meredith has $630,000 she wants to save. If the FDIC insurance limit per
Viefleur [7K]

Answer:

$200,000 in bank A, $200,000 in bank B, $230,000 in bank C

Step-by-step explanation:

Meredith has $630,000

Limit per depositor, per bank, is $250,000

She needs to distribute her money between three Banks to guarantee that her money is insured.

A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C

It can be seen in A that her deposit per bank deposit didn't exceed the $250,000 limit in the three Banks.

B. $200,000 in bank A, $170,000 in bank B, $260,000 in bank C

Here, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C

C. $160,000 in bank A, $180,000 in bank B, $290,000 in bank C

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D. $160,000 in bank A, $200,000 in bank B, $270,000 in bank C

you

Also, her deposit in bank C exceeds $250,000, so there is no guarantee for insurance in bank C

The way her money can be distributed between three Banks and guarantee insurance is

A. $200,000 in bank A, $200,000 in bank B, $230,000 in bank C.

That way, her deposit per bank is less than the $250,000 limit

3 0
3 years ago
Can anyone explain how to solve this?
eduard
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8 0
3 years ago
The equation tan(x- pi/3) is equal to _____.
kherson [118]

Answer:

B

Step-by-step explanation:

Using the expansion

tan(x - y) = \frac{tanx-tany}{1+tanxtany}, then

tan(x - \frac{\pi }{3})

=  \frac{tanx-tan(-\frac{\pi }{3}) }{1+tanxtan(-\frac{\pi }{3}) }

note that tan( -\frac{\pi }{3}) = - tan(\frac{\pi }{3}) = - \sqrt{3}

= \frac{tanx-(-\sqrt{3}) }{1+tanx(-\sqrt{3}) }

= \frac{tanx+\sqrt{3} }{1-\sqrt{3}tanx } → B

6 0
3 years ago
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