Hey y'all can u help me on this
2 answers:
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1. Substitute y=-x+2 into x-3y=-18:
x-3(-x+2)=-18,
x+3x-6=-18,
x+3x=-18+6,
4x=-12,
x=-3.
Then y=-(-3)+2=3+2=5.
2. The graphs of two equations you can see in attached diagram. Common point (the point of intersection) represents the solution of the system of two equations.
Answer: (-3,5) or x=-3, y=5.
Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.
Step-by-step explanation:
The given is,
Nadia deposited $3000
After 6 years, she had earned $990 in interest
Simple interest
Step:1
Formula to calculate the future amount with simple interest is,
...........................(1)
Where, F - Future amount
P - Initial investment
r - Rate of interest ( simple interest )
t - No. of years
Step:2
From the given,
I = $990
P = $3000
F = Initial investment + Interest amount
F = P + I = 3000 + 990 = $3990
t = 6 years
Equation (1) becomes,
3990 = 3000 ( 1 + (r)(6) )
1.33 = 1 + (r)(6)
1.33 - 1 = (r)(6)
0.33 = (r)(6)
r = 0.055 × 100
r = 5.5%
Result:
Interest rate of the account is 5.5%, if Nadia deposited $3000 into an account that earns annual simple interest after 6 years, she had earned $990 in interest.