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MArishka [77]
3 years ago
12

parachutist's rate during a free fall reaches 65 meters per second. What is this rate in feet per second? At this rate, how many

feet will the parachutist fall during 2 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet
Mathematics
1 answer:
nataly862011 [7]3 years ago
8 0
The feet per second rate-  214.5 ft per sec

the rate for 2 sec is 429 ft per sec
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Step-by-step explanation:

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A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their saving
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Answer:

The continuous yearly interest is  22.5% per year.

Step-by-step explanation:

Continuous yearly interest:

Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

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where A = The final amount =$110,000

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\therefore 110,000= 4,700e^{r\times 14}

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Taking ln both sides

\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})

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Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
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The <em>exponential</em> function y = 290 · 0.31ˣ reports a decay as its <em>growth</em> rate is less than 1 and greater than 0. Its <em>percentage</em> rate of decrease is equal to 69 %.

<h3>How to determine the behavior of an exponential function</h3>

<em>Exponential</em> functions are <em>trascendental</em> functions, these are, functions that cannot be described <em>algebraically</em>. The <em>simplest</em> form of <em>exponential</em> functions is shown below:

y = a · bˣ     (1)

Where:

  • a - Initial value
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Please notice that this kind of <em>exponential</em> function reports a <em>growth</em> for b > 1 and <em>decay</em> for b < 1 and b > 0. According to the statement we have the function y = 290 · 0.31ˣ, then we conclude that the exponential function given reports a <em>decay</em>.

The <em>percentage</em> rate of decrease is determined by the following formula:

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The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.

To learn more on exponential functions: brainly.com/question/11487261

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