The length of the arc intercepted by a central angle is the ratio of the angle to 360 degrees times the circumference. From the given values above,
S = (30° / 360°) x 2 x π x (6 ft)
S = π
The angle intercepted an arc which measures π feet. The answer is letter A.
Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be
.
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.


Amount of interest earned from lower-yielding account:
.
Amount of interest earned from higher-yielding account:
.

Let us solve for x.



Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be
.
Therefore, the man invested $60,000 at 6%.
The total cost would be:
$20 = two people- 2*20=40$
20 = guest
20*20=
400 would be the cost
12/8=
6/4=
3/2
Your answer in simplest form would be 3/2