The population of Marshville is loosing 20% of their population of frogs per year. There are currently 900 frogs in Marshville. How many frogs will there be in 5 years?

There will be 262 frogs in 5 years

Step-by-step explanation:

The population of Marshville can be modeled by the following equation.

In which P(t) is the population after t years, P(0) is the initial population, and r is how much the population decreases by year.

In this problem, we have that:

So

How many frogs will there be in 5 years?

This is P(5)

There will be 262 frogs in 5 years

295 frogs

Step-by-step explanation:

The Population of Marshville is loosing 20% of their population of frogs per year.

This means the value of the next year is 80% of the previous year.

This is an example of a geometric series in which the common ratio =80%

The nth term of a geometric series is given as:

Where a=First Term, r=Common Ratio, n=Number of Terms

In this case.

a=900, r=80%=0.8, n=6 (After 5 years)

In 5 years time, there will be 295 frogs in Marshville.

it's both, now can you answer my most recent question?

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺