A bird sanctuary initially contains 1000 birds. Each year, 10% of the birds fly away, so the sanctuary is restocked with 40 new birds. Write a recursive rule for the number an of birds at the start of the nth year.
I need An = ?

A(1) = 1000

A(2) = A(1) - A(1) x 10/100 + 40

A(3) = A(2) - A(2) x 10/100 + 40

=> A(n) = A(n-1) - A(n-1) x 10/100 + 40

Hope this helps!

:)

An = 0.9A(n-1) + 40

Step-by-step explanation:

10% decrease means 100-10 = 90% of the previous

A1: 1000

A2: (90% of 1000) + 40 = 0.9(1000) + 40

A3: 0.9(0.9(1000) + 40) + 40

= 0.9²(1000) + 0.9(40) + 40

A4: 0.9(0.9²(1000) + 0.9(40) + 40) + 40

An = 0.9A(n-1) + 40

john got lost so he didn't know what to do and it was crazy because he didn't except it

step-by-step explanation:

123123 step byt step

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).