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
- b - Growth rate
- x - Independent variable.
- y - Dependent variable.
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:
100 × (1-0.31) = 100 × 0.69 = 69 %
The <em>percentage</em> rate of decrease related to the <em>exponential</em> function is 69 %.
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Answer:
The rate is 2% per year.
Step-by-step explanation:
<em>It is given that sum to be $1200000.</em>
<em>The interest per year to be received is $24000.</em>
<em>Let the rate of interest be "r".</em>
The amount interest is given by the formula,
Thus the rate of interest is given by 2% per year.
Answer:
32/3 cubic
Step-by-step explanation:
D.32/3
32/3=32:2= D.8 units
Answer:
Its not soup, soup is hot... unless ur cereal's hot, its not soup
Answer:
Step-by-step explanation:
Volume of water in the swimming pool
= 25 x 11 x 3.1
= 852.5 m³
mass of water in the pool
= volume x density of water
m = 852.5 x 10³ kg
We shall consider the height H by which the centre of mass of the water-body is increased to lift the water .
H = 3.1 / 2 = 1.55 m
Work done in pumping the water out of pool
mgH ,
= 852.5 x 10³ x 9.8 x 1.55
= 13 x 10⁶ J
