Let the amount invested at 3% = x
Let the amount invested at 6% = y.
From the total amount invested, we get this equation.
x + y = 18
Now we look at the interest earned.
The 3% account earns 0.03x
The 6% account earns 0.06y
5% on the entire amount is 0.05 * 18 = 0.9
This gives us the second equation.
0.03x + 0.06y = 0.9
Now we have a system of 2 equations in 2 unknowns.
x + y = 18
0.03x + 0.06y = 0.9
Solve the first equation for y:
y = 18 - x
Replace 18 - x for y in the second equation.
0.03x + 0.06y = 0.9
0.03x + 0.06(18 - x) = 0.9
0.03x + 1.08 - 0.06x = 0.9
-0.03x + 1.08 = 0.9
-0.03x = -0.18
x = 6
Answer: He invested $6 at 3%.
Answer: The first option.
Step-by-step explanation:
1. You need to remember that:
- An even function is a function with the following property:
f(-x)=f(x)
- An odd function is a function with the following property:
f(-x)=-f(x)
2. By definition, the contangent is an odd function, therefore you have that:
cot(-θ)=-cot(θ)
Then:
![2cot(-\frac{9\pi}{2})\neq2cot(\frac{9\pi}{2})](https://tex.z-dn.net/?f=2cot%28-%5Cfrac%7B9%5Cpi%7D%7B2%7D%29%5Cneq2cot%28%5Cfrac%7B9%5Cpi%7D%7B2%7D%29)
3. So, you can coclude that the first step is wrong. Therefore, the answer is the first option.
?? You can use point slope form. Which is y-y1=m(x-x1). Where:
y1 is your y coordinate
m is your slope
x1 is your x coordinate
It doesnt matter which set of points you use
Answer:
f(4) = 12
Step-by-step explanation:
To evaluate f(4), substitute x = 4 into f(x) , that is
f(4) = 3 × 4 = 12