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Sagot :
To calculate the doubling time with a given growth rate, we use the Rule of 70. The formula for the Rule of 70 is:
[tex]\[ \text{Doubling Time} = \frac{70}{r} \][/tex]
where [tex]\( r \)[/tex] is the growth rate in percentage.
In this problem, the growth rate [tex]\( r \)[/tex] is given as 4%. Plug this value into the formula:
[tex]\[ \text{Doubling Time} = \frac{70}{4} \][/tex]
Now, perform the division:
[tex]\[ \frac{70}{4} = 17.5 \][/tex]
Thus, the doubling time, when the growth rate is 4%, is [tex]\( 17.5 \)[/tex] years, making the correct answer:
[tex]\[ \boxed{17.5 \text{ years}} \][/tex]
[tex]\[ \text{Doubling Time} = \frac{70}{r} \][/tex]
where [tex]\( r \)[/tex] is the growth rate in percentage.
In this problem, the growth rate [tex]\( r \)[/tex] is given as 4%. Plug this value into the formula:
[tex]\[ \text{Doubling Time} = \frac{70}{4} \][/tex]
Now, perform the division:
[tex]\[ \frac{70}{4} = 17.5 \][/tex]
Thus, the doubling time, when the growth rate is 4%, is [tex]\( 17.5 \)[/tex] years, making the correct answer:
[tex]\[ \boxed{17.5 \text{ years}} \][/tex]
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