Given:
An exponential function goes through points (0,12) and (3,6144).
To find:
The exponential function.
Solution:
The general exponential function is:
...(i)
The function goes through point (0,12). Substituting
, we get


The function goes through point (3,6144). Substituting
in the general exponential function, we get





Putting
in (i), we get

Therefore, the required exponential function is
.
i think its -9118 sorry if im wrong

<=> cosx = +1/2 or cosx = -1/2;
cosx = +1/2 => x = +π/3 + 2kπ, where k is an integer or x = -π/3 + 2kπ, where k is an integer;
cosx = -1/2 => x = +2π/3 + 2kπ, where k is an integer or x = -2π/3 + 2kπ, where k is an integer;
Answer: The increase in the percent of household with cable television = 45.5%.
Step-by-step explanation:
Given : The percentage of households in the u.S. With cable television increased from 22.5% in 1980 to 68% in 2000.
i.e. Previous percentage in 1980 = 22.5%
New percentage in 2000= 68%
Now , the increase in percentage = (New percentage) - ( Previous percentage )
= 68% - 22.5%
= 45.5%
Hence, the increase in the percent of household with cable television = 45.5%.
Answer:
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