How much would $300 invested at 4% interest compounded monthly be
worth after 8 years? Round your answer to the nearest cent.
A(1) = P(1+)

$412.92

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

The first step is to change 4% into its decimal form:

4% -> -> 0.04

Now plug in the values:

It would  be worth $412.92

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1