Answer:
11
Step-by-step explanation:
I think if I am wrong I am sorry
Answer:
3.045%.
Step-by-step explanation:
We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.
We will use effective interest formula to solve our given problem.
, where,
r = Effective interest rate,
e = Mathematical constant,
r = Interest rate in decimal form.
Let us convert given interest rate in decimal form.
Substitute values:
Convert into percentage:
Therefore, the corresponding interest rate would be 3.045%.
L (4, 6) M (-2, 1)
The width of the line is the difference in "X" values (4 minus -2 = 6) and the height is the difference in "Y" values (6 minus 1 =5)
So the midpoint of LM will be a point that is half-way of the "X" and "Y" distances (6/2 = 3 and 5/2 - 2.5)
"X" goes from -2 to 4. Adding 3 to -2 equals 1
"Y" goes from 1 to 6. Adding 2.5 to 1 equals 3.5
So the midpoint = (1, 3.5)
The equation given in the question has one unknown variable and so the value of k can definitely be found.
4/9(k + 4/7) = 3 1/3
4/9[(7k + 4)] = 10/3
4/(63k + 36) = 10/3
4 * 3 = 10 * (63k + 36)
12 = 630k + 360
12 - 360 = 630k
- 348 = 630k
Reversing both sides we get
630k = - 348
k = - 348/630
= - 174/315
= - 58/105
So the value of K comes out to be - 58/105 and it is not possible to simplify it further.
