The equation of c is an illustration of subject of formula
The equation of c in terms of r and t is c = r - 15/t
<h3>How to determine the equation?</h3>The equation is given as:
t = 15/(r - c)
Cross multiply
t(r - c) = 15
Divide both sides by t
r - c = 15/t
Subtract r from both sides
-c = -r + 15/t
Multiply both sides by -1
c = r - 15/t
Take LCM
Hence, the equation of c in terms of r and t is
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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