Answer: $310,000
Step-by-step explanation:
In 40 additional years, the amount she made less than her college counterparts was;
= 10,000 * 40
= $400,000
She however made $90,000 more than them as they went to college;
= 400,000 - 90,000
= $310,000
The long-term financial cost was $310,000.
Answer:
43-7i
Step-by-step explanation:
We are given the expression:

First, expand 3-4i in 6i+7. To expand binomial with binomial, first we expand 3 in 6i+7 then expand -4i in 6i+7.
![\displaystyle \large{[(3 \cdot 6i) + (3 \cdot 7) + ( - 4i \cdot 6i) + ( - 4i \cdot 7)]- (2 - 3i)} \\ \displaystyle \large{[18i + 21 - 24 {i}^{2} - 28i]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%5B%283%20%5Ccdot%206i%29%20%2B%20%283%20%5Ccdot%207%29%20%2B%20%28%20-%204i%20%5Ccdot%206i%29%20%2B%20%28%20-%204i%20%5Ccdot%207%29%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%5Cdisplaystyle%20%5Clarge%7B%5B18i%20%2B%2021%20%20-%2024%20%7Bi%7D%5E%7B2%7D%20%20-%2028i%5D-%20%282%20-%203i%29%7D%20)
Now combine like terms.
![\displaystyle \large{[ - 10i+ 21 - 24 {i}^{2} ]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20-%2024%20%7Bi%7D%5E%7B2%7D%20%5D-%20%282%20-%203i%29%7D%20)
<u>I</u><u>m</u><u>a</u><u>g</u><u>i</u><u>n</u><u>a</u><u>r</u><u>y</u><u> </u><u>U</u><u>n</u><u>i</u><u>t</u>

Therefore:-
![\displaystyle \large{[ - 10i+ 21 - 24 ( - 1) ]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 21 + 24]- (2 - 3i)} \\ \displaystyle \large{[ - 10i+ 45]- (2 - 3i)}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20-%2024%20%20%28%20-%201%29%20%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2021%20%20%20%2B%2024%5D-%20%282%20-%203i%29%7D%20%20%5C%5C%20%20%20%5Cdisplaystyle%20%5Clarge%7B%5B%20-%2010i%2B%2045%5D-%20%282%20-%203i%29%7D%20)
Then expand negative sign in 2-3i; remember that negative times negative is positive and negative times positive is negative.

Combine like terms.

................................................
The answer is 15.
Answer:
Explanation:
<u>1. Given vector:</u>
- length: 4.00 mm = magnitude of the vector
- angle: 23.5º north of east = 23.5º from the x-axys (counterclockwise)
<u>2. y-component</u>
The y-component may be determined using the sine ratio, the angle from the x-axys (counterclockwise direction), and the magnitude of the vector.
- sine (23.5º) = y-component / magnitude
- y-component = magnitude × sine (23.5º) = 4.00 mm × sine (23.5º) = 1.59 mm.
One way to solve it is writing two equations based on the info so
y = 5x + 10 for members
y = 6x for nonmembers
(the + 10 isn't included in the second equation because nonmembers won't pay a membership fee)
and to find their intersection point (where the values will be the same), you just set them equal to each other:
5x + 10 = 6x
subtract 5x
x = 10 classes