1200 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the account value to reach 8200 dollars?

The time required is about 75 years 3 months

Step-by-step explanation:

We know that the simple interest is expressed as

A = P (1 + rt)

A=final amount =$8200

P=initial principal

: balance=$200

r=annual interest rate 7.75%

7.75/100= 0.0775

t=time (in years)

Substituting our data into the expression we have

8200= 1200(1+0.0775*t)

8200=1200+93t

93t= 8200-1200

93t= 7000

t= 75.27

The time required to get a total amount, principal plus interest, of $8,200.00 from simple interest on a principal of $1,200.00 at an interest rate of 7.75% per year is 75.27 years (about 75 years 3 months)

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