Answer:
The answere is (9,3)
Step-by-step explanation:
first equation
x - 2y = 3
9 - 2(3) = 3
9-6 = 3
3 = 3
second equations
2x - 3y = 9
2(9) - 3(3) = 9
18 - 9 =9
9 = 9
or
x - 2y = 3
x = 2y + 3
2(2y + 3 ) - 3y = 9
4y +6 - 3y = 9
y + 6 = 9
y =3
x - 2(3) = 3
x - 6 =3
x = 9
so (9,3)
i hope this helpful
Answer:
(1, -5) or x=1, y=-5
Step-by-step explanation:
Hope this helps!
Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
Answer:
$425
Step-by-step explanation:
subtract 120 and 5 from his starting total to get how much he has after all his purchases. Then add 50 to that total to get your answer.
