Express sin P as a fraction in simplest terms.
2 answers:
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Answer:
0.66
Step-by-step explanation:
The exponential growth equation is expressed as;
S(t) = S0e^kt
S(t) is the number of stores after t years
S0 is the initial number of stores
If a chain of retail computer stores opened 2 stores in its first year of operation then at t = 1, S(t) = 2. Substitute into the equation;
2 = S0e^k(1)
2 = S0e^k .... 1
Also if after 8 years of operation, the chain consisted of 206 stores, this means at t = 8, S(t) = 206. Substitute into the equation;
206 = S0e^k(1)
206 = S0e^8k .... 2
Next is to calculate the value of k
Divide equation 2 by 1;
Hence the value of k to the nearest hundredth is 0.66
9514 1404 393
Answer:
the y-intercepts differ
Step-by-step explanation:
The x-coefficient is the same for each function, so parallel lines are described. The function g(x) has a y-intercept of -4; f(x) has a y-intercept of 0.
The graphs differ in their intercepts.
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<em>Additional comment</em>
g(x) can be considered to be a translation downward of f(x) by 4 units. The same graph of g(x) can be obtained by translating f(x) to the right by 2 units. That is, both the x-intercepts and y-intercepts differ between the two functions.
Answer:
; {-3,-9, -27,- 81, -243, ...}
; {-3, 9,-27, 81, -243, ...}
; {3, 1.5, 0.75, 0.375, 0.1875, ...}
; {243, 81, 27, 9, 3, ...}
Step-by-step explanation:
The first explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {-3,-9, -27,- 81, -243, ...}.
The second explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {-3, 9,-27, 81, -243, ...}.
The third explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {3, 1.5, 0.75, 0.375, 0.1875, ...}.
The fourth explicit equation is
At n=1,
At n=2,
At n=3,
Therefore, the geometric sequence is {243, 81, 27, 9, 3, ...}.