How much money will there be in an account at the end of 10 years if $150,00 is deposited at 3% compounded quarterly?

(assume no withdrawals are made.)   

Step-by-step explanation:

Use the formula

where A(t) is the amount of money in the account after a certain number of years, P is the amount invested initially, r is the interest rate in decimal form, n is the number of times the interest compounds per year, and t is the time in years.  Filling in:

Simplifying a bit:

and a bit more:

and a bit more still:

A(t) = 150,000(1.348348612) so

A(t) = 202,252.29

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i