Answer:
k = -2
Step-by-step explanation:
Given equation
1-kx = -3y
point on this line = (4,-3)
If point lies on the given line, then if we plug in the value (4,-3), then it will satisfy the equation
1-kx = -3y
using x = 4 and y = -3
1-k*4 = -3*-3
1 - 4k = 9
=> -4k = 9 -1 = 8
=> k = 8/-4 = -2
Thus, value of k is -2
Answer:
C.) SSA
Step-by-step explanation:
This took me awhile to figure out if the angles in between are equal
But all the sides that are congruent make up several smaller triangles that are congruent and then use CPCTC to use angles of the smaller triangles to show the angles are equal
You add them all up, so the answer is A
Answer:
20 years
Step-by-step explanation:
<u>Continuous Compounding Formula</u>
where:
- A = Final amount
- P = Principal amount
- e = Euler's number (constant)
- r = annual interest rate (in decimal form)
- t = time (in years)
Given:
- A = $10,000
- P = $5,000
- r = 3.5% = 0.035
Substitute the given values into the formula and solve for t:
Therefore, it will take 20 years (to the nearest year) for the initial investment to double.
Answer:
A, y - 3 = -1/2(x + 1)
Step-by-step explanation:
To solve this problem, write each equation in the slope intercept form.
y - 3 = -1/2(x + 1)
Distributing -1/2 across each value in the parentheses, we get y - 3 = -1/2x - 1/2.
Adding 3 to both sides, we get y = -1/2x + 2 1/2.
Now that we have our equation, look at the graph. Is the equation correct? Yes, it is. The y-intercept is 2 1/2, and the slope is -1/2.