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rewona [7]
1 year ago
13

Given the function F(t) = 34000(.98)' describe whether this function is growing or decaying, and by what percent. What is the in

itial value, and what might this situation represent in context?
Mathematics
1 answer:
Eduardwww [97]1 year ago
8 0

The  function F(t) = 34000(.98)^t, since b = 0.98 < 1, hence the function is decaying and the initial value of the expression is 34,000.

<h3>Exponential equation</h3>

The inverse of exponential equation is logarithmic equation. The standard exponential equation is expressed as;

y = ab^x

where

a is the initial value

b determine the growth rate or decay.

If the value if b < 1, then it  is a decay otherwise it is growth.


Given the  function F(t) = 34000(.98)^t, since b = 0.98 < 1, hence the function is decaying and the initial value of the expression is 34,000.

Learn more on exponential function here: brainly.com/question/12940982

#SPJ1

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Answer:

640 units squared

Step-by-step explanation:

The shape below is a trapezoid.

The formula for the  area of a trapezoid is average of the bases times the height.

The bases are the parallel lines that make up 2 of the sides of the trapezoid.

The height is the line dotted line that creates right angles and is the distance between the two bases.

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It is believed that 44% of all Americans eat breakfast every day. For a class project, you randomly select Clemson students and
GaryK [48]

Answer:

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

Solution to the problem

For this case we want to conduct a test in order to see if the proportion of Clemson students who eat breakfast is different from 0.44 (alternative hypothesis). And the complement would represent the null hypothesis, and the system of hypothesis for this case are:

Null Hypothesis: p =0.44

Alternative hypothesis: p \neq 0.44

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