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Answer:
Approximately 107years
Step-by-step explanation:
Given the population of Mathloversville modelled by the equation P=38e^0.095t where t is the number of years from now.
To find the time it will take the population to reach 1million from now, we will substitute P = 1,000,000 into the equation given
1,000,000 = 38e^0.095t
Dividing both sides by 38
1,000,000/38 = e^0.095t
Taking the ln of both sides
ln(1,000,000/38) = ln e^0.095t
ln26,315.79 = 0.095t
10.18 = 0.095t
t = 10.18/0.095
t = 107.16years
It will take approximately 107years for the population to reach 1million
Answer:
V=167.5 cubic mm
Step-by-step explanation:
Volume of the Cone is given with the formula

though we are not specified what is radius and which one is the height , we are assuming that ,
Height = 10 mm
Radius = 4 mm
Substituting these values in the formula we get






Answer:
10 mystery books
Step-by-step explanation:
Animals:
Multiply the total number of books by the fraction of animal books
4/16*16
4 animal books
Adventure:
2 adventure books
Mystery:
Subtract the number of adventure and animal books from the total number of books
16-4-2
10
10 mystery books
Hope this helps! :)
Answer:
2 x 2 x 2 x 3
Step-by-step explanation:
Find two numbers that multiply together to form 24:
2 x 12 = 24
Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:
2 x (2 x 6) = 2 x 12 = 24
Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:
2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24
Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.