Answer: the number of VHS movie rentals in 2011 is expected to be 1.13 million.
The table was not provided, but it is not necessary since the exponential regression equation was provided.
The exponential regression equation is the exponential function that best fits the set of data and it is given in the form:
y = a · bˣ
where:
a = initial value of the model
b = exponential grow or decay
x = time passed from the beginning
In our case,
y = 9.92 · (0.8208)ˣ
where:
a = 9.92
b = 0.8208
Since 0 < b < 1 we have an exponential decay, confirming that the number of VHS is decreasing with time.
We can then use this equation to infer the number of VHS movies in 2011.
As a first thing, calculate how many years from the beginning (2000) would pass:
x = 2011 - 2000 = 11
Now, substitute this value in the equation:
<span>y = 9.92 · (0.8208)</span>¹¹
= 1.13
In 2011 we can predict there will be only 1.13 million VHS movie rentals.
This can be solved algebraically. Before we start, as context, to find a percentage you multiply by the percentage/100.
This tells us that 90 is
120% of 75. However, your question wants us to find the <em>increase</em>, therefore we don't need that 100.
Therefore, the increase is
20%.
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
Answer:
a. f(n+1) = f(n) + 20
Step-by-step explanation:
The second hour, f(2) = 130 is the wage of the first hour f(1) = 110, plus 20.
_____
You have to look at the answers and understand what they mean. (This can be difficult when they are nonsense, as here.)
b — means each successive hour of pay is 110 more than the previous one. Clearly that is not the case for the sequence given
c — equates 0 to 20, total nonsense
d — equates 0 to 110, also total nonsense
