April invested $7500 into a continuously compounded account with an interest rate of 2.7% for 2 years. How much money was in the account after that time? Round your answer to the nearest dollar.

The final balance is $7,913 and the total compound interest is $413.27

To calculate compound intrest, you need to multiply the initial principal amount ($7500) by one , plus the annual intrest rate (2.7%) raised to the number of compound periods minus one. The total initial amount of the loan is the subtracted from the resulting value.

7980

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where P0=7500, r=0.031, and t=2. Substitute the values into the formula and simplify.

A=7500e0.031⋅2

A=7500e0.062

A=7500(1.063...)

A=7979.72

To the nearest dollar, the balance of the account is A≈7980 after two years.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi