Rochelle deposits $6,000 in an IRA. What will be the value (in dollars) of her investment in 15 years if the investment is earning 9% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)

$ 23,145

Step-by-step explanation:

This is a compound interest question where the interest is compounded continuously. Hence, the formula for the value of total amount of investment is:

A = P×e^rt

Where:

A = Total value of investment after t years

P = Principal or Initial amount invested = $6,000

e = Exponential function

r = interest rate = 9% = 0.09

t = time in years = 15

So:

A = $6000 × e^15 × 0.09

A = $6000 × e^1.35

A = $23,144.553184

Approximately , A ≈$23,145

Therefore, the value (in dollars) to the nearest cent of Rochelle's investment in 15 years if the investment is earning 9% per year and is compounded continuously is $23,145.

im alright what do you need

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.