The number of seats sold cannot be negative, so you have
... x ≥ 0, y ≥ 0
The limits on numbers of seats must be observed, so you have
... y ≤ 2000
... x + y ≤ 3000
And the revenue constraint must be met:
... 35x + 50y ≥ 90,000
Together, these inequalties are ...
{x ≥ 0, y ≥ 0, y ≤ 2000, x + y ≤ 3000, 35x + 50y ≥ 90,000}
Hi,
Principal=$650, R=3.5%, T=6 yrs
Amount=Principal * (100+R%/100)^no. of yrs
Amount=650 * (100+3.5/100)^6
Amount= 650 * 103.5/100 * 103.5/100 * 103.5/100 * 103.5/100 * 103.5/100 * 103.5/100<span>
Amount=</span> 650 * 1.035 * 1.035 * 1.035 * 1.035 * 1.035 * <span> 1.035
Amount=799.016</span>
Hope this helps you.
T = 6 years
Equation:
t = (1/r)(A/P - 1)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 7.5%/100 = 0.075 per year,
then, solving our equation
t = (1/0.075)((725/500) - 1) = 6
t = 6 years
The time required to get
a total amount, principal plus interest, of $ 725.00
from simple interest on a principal of $ 500.00
at an interest rate of 7.5% per year
is 6 years.
The distance between the points (6,2) and (-3,-2) is A) 9 units.
