10,000 is compounded quarterly at 12% interest for t years, what expression represents the amount of money after t years

 10,000(1.03)⁴ˣ  

Step-by-step explanation:

A = P(1 + )ⁿˣ

A is the amount (new balance):   unknown

P is the principal (amount you started with):   10,000

r is the interest rate: 12% = .12

n is the number of times per year it is compounded: quarterly = 4

x is the number of years: x

A = 10,000(1 + )⁴ˣ

   = 10,000(1 + .03)⁴ˣ

   = 10,000(1.03)⁴ˣ

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2