Question

A store's sales grow according to the recursive rule Pr = Pn-1 7 12000, with initial sales Po = 27000.(a) Calculate P1 and P2.P1 = $ 39000P2 = $ 51000(b) Find an explicit formula for Pn.Pn - 27000 + 12000n(c) Use the explicit formula to predict the store's sales in 10 years.Pio = $ 147,000(d) When will the store's sales exceed $97,000? Round your answer to the nearest tenth of a year.Afteryears.Enter an integer or decimal number (more..

Answer 1

Given that,

The equation is,

`P_n=P_(n-1)+12000`

withg initial sales,

`P_0=27000`

a) To calculate P1 and P2

Put n=1 in the given equation

`P_1=P_0+12000`

Substitute the values, we get,

`=27000+12000=39000`

d)To find the time (n) store's sales exceed $97,000

Let Pn=97000

we get,

`97000=27000+12000n`
`12000n=97000-27000`
`n=5.8`

Answer is: 5.8 years