Answer:
f(x) = -3x + 12
Step-by-step explanation:
The chart could be represented like this:
x y
0 12
1 9
2 6
3 3
Suppose that f(x) = y
And substitute x values.
y = -3x + 12
"x = 0"
y = -3(0) + 12
y = 0 + 12
y = 12
"x = 3"
y = -3(3) + 12
y = -9 + 12
y = 3
From the results, it corresponds to the function.
<span>-2x+3=5
Subtract 3 from both sides
-2x=2
Divide both sides by -2 so that the only thing remaining on one side is the variable x
Final Answer: x= -1</span>
Answer:
Hello,
-4 x + 11 y = 15 ⇔ -4 (2 y) + 11 y = 15 ⇔ 3 y = 15 ⇔ y = 5
x = 2 y = 10
Step-by-step explanation:
Answer:
PV = 1414.213562
Step-by-step explanation:
Find:
PV = 8,000*V^(t+3)
Solution:
- Split the the exponent of V into t and 3:
PV = 8,000*V^t*V^3
- We will calculate the V^t and V^3 from information given.
- The present value of 10,000 at the end of 6 years and immediate value of $5,000. De-crypt this statement we have:
10,000*V^6 = 5,000
V^6 = 5,000/10,000
V^6 = 0.5
V^3 = sqrt(0.5)
- Using 2 and 3, De-crypt:
6000*V^t + 56,000*V^2t = 5000
Solving the quadratic in V^t:
V^t = 0.25
- Hence, we have the present value as:
PV = 8,000*V^t*V^3
PV = 8,000*sqrt(0.5)*0.25
PV = 1414.213562
