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Gnom [1K]
3 years ago
11

PLEASE HELP ME!!

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 =  \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t}  = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t}  = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t}  = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\

The population will reach 1200 after about 2.8 years

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Any credit)
Mumz [18]

Answer: $4,365.10

Step-by-step explanation:

Ok, we know that:

The account starts with $2350

There is a simple interest of 3.75% (or 0.035).

Then after one year, the amount in the account will increase by 3.75%, this means that the amount will be:

$2350 + 0.035*$2350 = (1.035)*$2350.

After another year, we have the same increase (but applied to the new amount in the account):

(1.035)*$2350 + 0.035*(1.035)*$2350. = (1.035)^2*$2350

And so on.

You already can see the pattern here, the amount of money in the saving account after N years will be:

M(N) = $2350*(1.035)^N.

Now we can answer:

what is the balance of the account if it earns a  simple interest of 3.75% for 18 years?

Just replace N by 18 in that equation:

M(18) = $2350*(1.035)^18 = $4,365.10

6 0
3 years ago
HELP!!! HELPPP!!!
mihalych1998 [28]

Answer:

22.75

I did some work to try and find this answer sorry if it is wrong I tried.

7 0
3 years ago
Matt's pool table is 3 feet wide and 9 feet long. Matt wants to replace the felt on the pool table. The felt costs $4.00 per squ
RoseWind [281]

Answer:

$108

Step-by-step explanation:

3X9= 27square foot. Then you multiply 27 by 4, which equals $108

4 0
3 years ago
HELPPPP MEEE PLSSSSSS
wel

Answer: width is 7

Step-by-step explanation:

Formula V=L×W×H

.. 7812= 36×W×31

7812=1116W

Divide by 1116

7=W

5 0
3 years ago
URGENT!!!
Makovka662 [10]

Answer:

Train A - 50 miles per hour

train B - 30 miles per hour

Step-by-step explanation:

Let x mph be the speed of the train B, then the speed of the train A is (x+20) mph.

In 3 hours,

  • train A travels 3(x+20) miles
  • train B travels 3x miles

In total, they covered the distance of 240 miles, so

3(x+20)+3x=240\ \ \ \text{[Divide by 3]}\\ \\x+20+x=80\\ \\2x=80-20\\ \\2x=60\\ \\x=30\ mph\\ \\x+20=30+20=50\ mph

8 0
3 years ago
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