Multiply the first equation by 2:
4x+10y=8
Subtract the second equation from this so the 4x cancels:
3y = -3
y = -1
Plug into first equation:
2x -5 = 4
2x = 9
x = 9/2 = 4 1/2 = 4.5
So (x,y) = (-1,4.5)
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.
Hello there!
The correct answer is option B (-3,3)
-3x - y = 6
-3(-3) - 3 = 6
9 - 3 = 6
6 = 6
Thus, the correct answer is option B
Good luck with your studied!
Answer:
1) False. 2) True. 3) True. 4) False.
Step-by-step explanation:
1) False. The force of gravity will drive it down. The path will form a parabola.
2) True. There is no variation in the velocity in the horizontal axis and no force applied so the acceleration is zero.
3) True. The travel time depends on the height and the acceleration of gravity, and independent of the velocity of the rocket at launch.
4) False. The travel distance depends on the initial velocity of the rocket (at launch).