The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.

= 4% / 4 quarters

= 1% per quarter

Number of periods:

= Number of years x Number of quarters in year

= 6 x 4

= 24 quarters

The amount they will have in their account is:

= Amount x ( 1 + rate) ^ number of periods

= 35,000 x ( 1 + 1%)²⁴

= $44,440.71

In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.

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2 years ago

F (x) = x^2 + 2x - 5 g(x) = 2x + 4 What is (f• g)(x)?

Vilka [71]

Answer:

Step-by-step explanation:

This is a composite function, f(g(x)). This means, working from the inside function to the outside, we will take the function g and plug it in for x in the f function. g(x) = 2x + 4. We will plug that into f(x) and evaluate f(2x+4):

$f(g(x))=(2x+4)^2+2(2x+4)-5$ and I imagine your teacher has you simplify completely. We FOIL and distribute to get