Answer:

Step-by-step explanation:
Given the system of equations:

You can pply Substitution method:
First you must solve for "y" from the first equation:

Therefore, the second and final step to solve the system of equations is to substitute the value of "y" into the second equation and solve for "x":

Answer:
1073.38
Step-by-step explanation:
975 × 0.01 = 9.75
9.75 + 975 = 984.75
984.75 × 0.09 = 88.6275
88.6275 + 984.75 = <u>1073.38</u>
X = 0 ; y = 10 ; 10 = a(0) + b(0) + c
c = 10
x=2 ; y = 15 ; 15 = a(4) + b(2) + 10 ; 5 = 4a+2b
x=4 ; y=18 ; 18 = a(16) + b(4) + 10 ; 8 = 16a + 4b
2(5) = (4a+2b)2
-
<u> 8 = 16a + 4b
</u> 2 = -8a
a = -0.25
b = 2
y = (1/4)x^2 + 2x + 10 ; 4y = x^2 + 8x + 40
Answer:

Step-by-step explanation:
Answer: She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.
Step-by-step explanation:
Let P be the initial amount she invested in an account that pays 6% interest.
Then, amount invested in other account = 2P
Simple interest = Principal x rate x time
After one year, for the first account,
Interest = P(0.06)(1) = 0.06P
For second account,
Interest = (2P)(0.07)(1)=0.14P
Total interest = 

2P = 2(5000)=10000
Hence, She invested $5000 in an account that pays 6% interest and $10000 in an account that pays 7% interest.