Answer:
Can you put the graphs up then ill edit my answer and give you the answer
Answer:
Step-by-step explanation:
y = -x-3
y = x^2 + 4x + 1
x^2 + 4x + 1 = -x-3
x^2 + 5x + 4 = 0
Quadratic Formula
x = [-5±√(5²-4⋅1⋅4)]/[2⋅1] = [-5±√9]/2 = [-5±3]/2 = 1,-4
(x,y) = (1,-4) of(-4,1)
-0.65
-3/8
2/4
5/16
I hope this is right, the negatives should go first because you are taking away, then positives
Answer:
- Walnuts cost $1.75, chocolate chips cost $2.75
Step-by-step explanation:
<h3>Let the costs be:</h3>
- Walnuts - x
- Chocolate chips - y
<h3>Set equations as per question</h3>
For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:
For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:
<h3>Solve the system by elimination</h3>
Multiply the second equation by 3 and subtract the first equation, solve for x:
- 3(5x + 3y) - (7x + 9y) = 3(17) - 37
- 15x + 9y - 7x - 9y = 51 - 37
- 8x = 14
- x = 14/8
- x = 1.75
Find the value of y:
- 7*1.75 + 9y = 37
- 12.25 + 9y = 37
- 9y = 37 - 12.25
- 9y = 24.75
- y = 24.75/9
- y = 2.75
Answer:
<u>The future value of the investment after 10 years is $ 29,240.53</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Principal = $ 17,500
Interest rate = 5.2% = 0.052 compounded semiannually
Time = 10 years = 20 semesters
2. What is the future value of the investment after 10 years?
Let's use the formula of the Future Value, to calculate it for this investment:
FV = P * (1 + r) ⁿ
Let's replace with the real values:
FV = 17,500 * (1 + 0.052/2)²⁰
FV = 17,500 * 1.670887521
<u>FV = 29,240.53</u>