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mote1985 [20]
2 years ago
13

If X and Y are 2 finite sets such that n() = 9, n( XY) - 4 and n( XY) -15, then n() is

Mathematics
1 answer:
Artist 52 [7]2 years ago
8 0

Answer:

I think it's a hope this helps

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The population of a county is growing at a rate of 9% per year, compounded continuously. How many years will it take for the pop
torisob [31]

Answer:

t=15.4\ years

Step-by-step explanation:

The  exponential growth function compounded continuously is equal to

A=P(e)^{rt}  

where  

A is the final population  

P is the initial population  

r is the rate of growth in decimal  

t is Number of years

e is the mathematical constant number

we have  

A=4x\\P=x\\ r=9\%=9/100=0.09  

substitute in the function above

4x=x(e)^{0.09t}    

simplify

4=(e)^{0.09t}

Take natural log of both sides

ln(4)=ln[(e)^{0.09t}]

ln(4)=0.09t(ln(e))

ln(e)=1

ln(4)=0.09t

t=ln(4)/0.09

t=15.4\ years

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