Answer:
Step-by-step explanation:
Given expression:
Convert this into equation and solve for k:
- 33 = k - 15
- k = 33 + 15
- k = 48
So the <u>value of k is 48</u>
10,000 is 8.33% of 120,000.
10,000 / 120,000 = 0.0833 * 100% = 8.33%
Assuming that the whole and percentage is given. find the value of the percentage.
120000 * 8.33% = 9996 ⇒ 10,000
If the percentage is given and its corresponding value. find the whole
10,000 / 8.33% = 120,048 ⇒ 120,000
Answer:
B. 7.3 years
Step-by-step explanation:
The question is wrong. The correct function is :

We have the function
that represents the value of a piece of farm equipment after
years.
This means that when
its original value is :

Now we want to calculate approximately when will its value be half its original value. Then, we write :

is half of its original value. We need to find
that satisfies the following equation :

Solving for
:
⇒

Now we apply natural logarithm to each side of the equation :
![ln(0.5)=ln[(0.91)^{x}]](https://tex.z-dn.net/?f=ln%280.5%29%3Dln%5B%280.91%29%5E%7Bx%7D%5D)
Using logarithm properties :
⇒
![ln(0.5)=x[ln(0.91)]](https://tex.z-dn.net/?f=ln%280.5%29%3Dx%5Bln%280.91%29%5D)
⇒
≅ 
The correct option is B. 7.3 years
If <em>z</em> ⁷ = 128<em>i</em>, then there are 7 complex numbers <em>z</em> that satisfy this equation.

![\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}](https://tex.z-dn.net/?f=%5Cimplies%20z%3D%5Csqrt%5B7%5D%7B2%5E7%7D%20e%5E%7Bi%5Cfrac17%5Cleft%28%5Cfrac%5Cpi2%2B2n%5Cpi%5Cright%29%7D)
(where <em>n</em> = 0, 1, 2, …, 6)

