a population of grasshoppers quadruples in 20 days. assuming exponential growth, if the present population is 40 million, what will it be in 50 days. answer by first finding the number of ghoppers as a function of time. y=y0e^kt.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

a population of grasshoppers quadruples in 20 days. assuming exponential growth, if the present population is 40 million, what will it be in 50 days. answer by first finding the number of ghoppers as a function of time. y=y0e^kt.

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

I devided 50 by 20 and got 2.5 than I multiplied 40 by 4 because I am qudrupaling it 40 times 4+40 times 4+40 times 2: this is because you quadrupal it 2.5 times so it would be: 160+160+80= 400 400 million grasshoppers
hope this helps:D
thank you!

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

your welcome:D
lets try this: \[y=y_0e^{kt} \] \[y_0=40\]so you have \[y=40e^{kt}\]
you do not know k, but you know that when t = 20, y=160 (quadruples) so we write \[160=40e^{20k}\] and solve for k
first step divide by 40, it was unimportant in any case \[4=e^{20k}\] \[ln(4)=20k\] \[k=\frac{ln(4)}{20}=.0693\]rounded
i love how helpful you are thank you so much
now we go back to the formula and have \[y=40e^{.0693t}\] replace t by 50 to get \[y=40e^{.0693\times 50}=40e^{3.46574}=40\times 32=1280\]\]
my answer may be off so let me check it
ok
i think i made a calculation error somewhere but it is certainly not the answer you were given earlier. doubles every twenty days and when you start counting you have 40 so in 20 days you have 80 and then in another 20 days (40 days later) you have 160
oh wait. quadruples! ok you start counting you have 40
yeah i got 160 when i tried on my own, i just got confused
yeah i got 160 when i tried on my own, i just got confused
yeah i got 160 when i tried on my own, i just got confused
in twenty day s you have 160 in another 20 day you have 640
so where do i plug that in?
so where do i plug that in?
so where do i plug that in?
ok i was right.
everything i wrote was correct.
we can do it the easy way without solving like we did, although that is what they want you to do
first find k, and then replace t by 50
it is all correct. but lets do it the easy way without all that. you know it quadruples every 20 days. so another formula you can use is \[40\times 4^{\frac{t}{20}}\]
now just replace t by 50 and you get \[40\times 4^{\frac{50}{20}}=40\times 4^{\frac{5}{2}}\]
\[4^{frac{5}{2}}=\sqrt{4^5}=2^5=32\]
and \[32\times= 1280\]
i meant 32*40=1280
either way that is the correct answer
okay makes sense! thanks again
welcome

Not the answer you are looking for?

Search for more explanations.

Ask your own question