16.10.2020

# A certain species of fish is to be introduced into a lake, and wildlife experts estimate the population will grow to P(t)=(723)4t4 , where t represents the number of years from the time of introduction. Step 1 of 2 : What is the quadrupling-time for this population of fish?

0

28.04.2023, solved by verified expert

1 year

Step-by-step explanation:

To find the quadrupling time for the population of fish, we need to determine the time it takes for the population to increase by a factor of 4.

Let P₀ = 723 be the initial population at t=0. Then, the population at any time t is given by:

P(t) = P₀(4^t)

If the population quadruples, it means that the new population is four times the initial population:

4P₀ = P₀(4^t)

Dividing both sides by P₀, we get:

4 = 4^t

Taking the logarithm of both sides, we have:

t*log(4) = log(4)

Solving for t, we get:

t = log(4)/log(4) = 1

Therefore, the quadrupling time for this population of fish is 1 year.

### Faq

Mathematics

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=\$53

Therefore, Value after 19 years=\$53

Mathematics

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Mathematics

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

=4300/3.3

=1303.03kg

Approximately it is aqual to 1300kg

Mathematics

The answer is in the image

Mathematics

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make \$108 in \$1800 sales

Mathematics

The solution is given in the image below

Mathematics

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics

tip=18% of 75.45

=18/100 * 75.45 = \$13.581

Tip = \$13.581

Mathematics

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

Mathematics

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years

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