Log(2)/log(1.064) ≈ 11.17 . . . . hours
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The population can be given by
p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
Answer:
390cm
Step-by-step explanation:
1. find area of rectangle
1. 15cm x 20cm= 300 cm
2. find area of triangle
1. 1/2 (12 x 15)= 90cm
300+90
Multiply the coefficients and the powers of 10 with each other:
The numeric part simply yields
As for the powers of 10, you have to add the exponents, using the rule
So, we have
So, the final answer is
Answer:
solution set of f(x) = g(x) is x∈{0,1}
Step-by-step explanation:
For all exponential functions b^x,
b^0 is always 1, and b^1 is always b.
f(x) = -3/4 x + 2
g(x) = (1/4)^x + 1
g(0) = 2, f(0) = 2
g(1) = 5/4, f(1) = 5/4
