I know there is a very similar question already out there but my version is requesting different functions

Cami is comparing the growth rates in the value of two items in a collection. the value of a necklace increases by 3.2% per year. the value of a ring increases by 0.33% per month.

1a) Write a function to represent the value of A of the necklace after t years, assuming the initial value of $1
1b) then write an equivalent function with a power of 12t

2a) Write a function to represent the value of B of the ring after t years with the power of 12t , assuming the initial value of $1
2b) then write an equivalent function with a power of t

so
1a) A= 1 (1+3.2/100)^t
A= $1.032
1b) please help

2a) B=1 (1+0.33/100)^12t
B= $1.04
2b) please help

ty ty ty this momma is trying to help her kids and is a bit lost !

Problem 1, part (a)

t = number of years

A = value of the necklace after t years

3.2% = 3.2/100 = 0.032

If the necklace starts off being $1, then after t years, it will have this value

A = 1*(1 + 0.032)^t

A = 1.032^t

You were close, but forgot about the exponent t

Problem 1, part (b)

Since t represents the number of years, this means 12t represents the number of months, because there are 12 months in a year.

The annual growth rate is 3.2%, which converts to 0.032

Divide this over 12 and we get the approximate value 0.032/12 = 0.00267

So we get this new equivalent function

A = 1*(1+0.00267)^(12t)

A = 1.00267^(12t)

Problem 2, part (a)

t = number of years

12t = number of months

The ring's value goes at a rate of 0.33% per month, which converts to the decimal form 0.0033

The value of the ring is

B = 1*(1 + 0.0033)^(12t)

B = 1.0033^(12t)

Problem 2, part (b)

We'll take the reverse approach in what we did with part (b) of the previous problem. There we divided by 12 to go from an annual rate to a monthly rate.

We'll multiply by 12 to go from the monthly growth rate to the annual growth rate.

The monthly growth rate of 0.33% turns into the annual growth rate of 12*0.33% = 3.96%, and that turns into the decimal form 0.0396

So,

B = 1*(1+0.0396)^t

B = 1.0396^t

represents the value of the ring after t years.

3,000,540

step-by-step explanation: