9514 1404 393
Answer:
(x, y) = (1, 7.5)
Step-by-step explanation:
Solve the first equation for y, then substitute into the second equation.
y = 8 -1/2x . . . . . subtract 1/2x
2(8 -1/2x) = x +14
16 -x = x + 14 . . .eliminate parentheses
2 = 2x . . . . . . . add x-14
1 = x . . . . . . . . divide by 2
y = 8 -1/2(1) = 7 1/2
The solution is (x, y) = (1, 7 1/2).
__
<em>Alternate solution</em>
Type the equations into a graphing calculator and let it show you the solution.
48
1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2
3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4
5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6
6 x 4 x 2 = 48
OR 3 couples possible arrangements 3 x 2 x1 = 6
each couple 2 possible 2 x 2 x 2 = 8
therefore 6 x 8 = 48
There is no photo attached.
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.
Step-by-step explanation:
The given is,
Future value, F = $15,000
Interest, i = 5.9%
( compounded continuously )
Period, t = 12 years
Step:1
Formula to calculate the present with compounded continuously,
...............(1)
Substitute the values in equation (1) to find the P value,
( ∵
)

( ∵
)
We change the P (Present value) into the left side,


≅ 7389.43
P = $ 7389.43
Result:
The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.