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I am Lyosha [343]
1 year ago
7

A population of protozoa develops with a constant relative growth rate of 0.469 per member per day. On day zero the population c

onsists of five members. Find the population size after eight days.
Mathematics
1 answer:
garik1379 [7]1 year ago
4 0

If the growth rate is 0.469 per member per day and in the beginnning there are 5 members then the population size after eight days is 108.42.

Given growth of population of protozoa 0.469 per member per day and population in beginninng is 5 members.

We have to find the population afte eight days.

First of all we have to find the function or equation showing sum of population after t days.

Because it is given that the rate is 0.469 per member per day it means it is like compounding.

The equation which shows the sum after compounding is P(1+r)^{n}

where P is the amount in beginning, r is the rate and n is the number of years.

In this problem the equation will be 5(1+0.469)^{t} where t is number of days.

We have to put the value of t=8 to find the population after 8 days=

=5(1.469)^{8}

=5*21.68

=108.42

Hence the population of protozoa after 8 days is 108.42.

Learn more about compounding at brainly.com/question/24924853

#SPJ4

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Andreyy89

Answer:

844 is the ans

Step-by-step explanation:

512+4+1 -7 +343+9= 844

3 0
3 years ago
For the rational equation x^2 + 5x + 6/ x + 1 = 1 , what is the valid value of x
blagie [28]

X^2(x)+5x(x)+6/x(x)+1(x)=1(x) X^3+5x^2+6+x=x X^3+5x^2+6=0 Use cube X is approx -5.220181

8 0
3 years ago
A lender will make an 80% loan-to-value loan on a property that is appraised for $72,250 and sells for $73,500. If the buyer has
anyanavicka [17]

Answer:

$1,250

Step-by-step explanation:

We are given;

Loan to value ratio;LTV = 80% = 0.8

Appraised value of property = $72,250

Selling value of property = $73,500

Now, the formula for Loan to value ratio is;

LTV = Loan amount/Appraised value of property

0.8 = loan amount/72250

Cross multiply to get;

Loan amount = 0.8 × 72250 = $57,800

Now,we are told that he has saved $14,450.

Thus, total money raised including loan = $57,800 + $14,450 = $72,250

Since the selling value = $73,500, then,

Amount left for him to save in order to make down payment = $73,500 - $72,250 = $1,250

7 0
3 years ago
Asking easy questions so people can get points (answer must be right)
NeX [460]
.45*10^4=4500
^ is the usual symbol for powers
3 0
3 years ago
PLEASE HELP I AM SO STUCK. IT IS DUE ~TOMORROW.
Flura [38]

Answer:

A(\triangle ABC) = 7.2\: units^2

Step-by-step explanation:

C = (0, 7)

Since, point A lies on y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

AC= \sqrt{(0-0)^2 +(7-1)^2}

AC= \sqrt{(0)^2 +(6)^2 }

AC= \sqrt{0 +36 }

AC= \sqrt{36 }

AC= 6\: units

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} }

CB =\frac{|0-7+1|}{\sqrt {4 +1} }

CB =\frac{|-6|}{\sqrt {5} }

CB =\frac{6}{2.24}

CB =2.68\: units

By Pythagoras Theorem:

AB=\sqrt{AC^2 - CB^2}

AB=\sqrt{6^2 - (2.68)^2}

AB=\sqrt{36 - 7.18}

AB=\sqrt{28.82}

AB=5.36842621\: units

AB\approx 5.37\: units

A(\triangle ABC) = \frac{1}{2} \times AB\times CB

A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68

A(\triangle ABC) = \frac{1}{2} \times 14.3916

A(\triangle ABC) = 7.1958

A(\triangle ABC) = 7.2\: units^2

6 0
2 years ago
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