Answer:
<h2>New salary= $43,800.24</h2>
Step-by-step explanation:
Step one:
Given data
the initial salary is = $42,360
the raise in percentage is =3.4%
To know the raise we need to calculate what the amount of 3.4% of $42,360 is
Step two:
=(3.4/100)*42,360
=0.034*42360
=1440.24
therefore thr raise is $1440.24
Step three:
the new salary is given as
new salary= old salary+ raise
New salary= $42,360+$1440.24
New salary= $43,800.24
Answer:
C. the remainder must always be less than the dividend
1) an = a1 + d*(n-1) => a20 = -4 + (-9)*19 = -4 - 171 = - 175
1) ---> C)
2) a81 = 20 + 4*80 = 340;
2) ---> A)
3) a12 = ?
3) ---> B) or D).
Answer:
25 people are not from Germany or France.
Step-by-step explanation:
1. You first want find out what is the number of people from Germany.
So you would find...
2/5 of 75
or
2/5*75= 30 people from Germany
2. Next you want to to find out the number of people from France.
So you would do the following...
75-30=45 (Subtract the number of people from Germany from 75 so you can get the total number of people from France and other countries)
4/9 of 45 to find the number of people from France.
4/9 *45= 20
3. Lastly you need to find the people who are from neither of the countries listed above.
Add 30+20= 50
Then subtract that number from 75.
75-50= 25 people who are from neither France or Germany.
Voila! This is your answer. Hope this helps! :)
Answer:
Equation of tangent plane to given parametric equation is:
Step-by-step explanation:
Given equation
---(1)
Normal vector tangent to plane is:
Normal vector tangent to plane is given by:
![r_{u} \times r_{v} =det\left[\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\cos(v)&sin(v)&0\\-usin(v)&ucos(v)&1\end{array}\right]](https://tex.z-dn.net/?f=r_%7Bu%7D%20%5Ctimes%20r_%7Bv%7D%20%3Ddet%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Chat%7Bi%7D%26%5Chat%7Bj%7D%26%5Chat%7Bk%7D%5C%5Ccos%28v%29%26sin%28v%29%260%5C%5C-usin%28v%29%26ucos%28v%29%261%5Cend%7Barray%7D%5Cright%5D)
Expanding with first row
at u=5, v =π/3
---(2)
at u=5, v =π/3 (1) becomes,
From above eq coordinates of r₀ can be found as:
From (2) coordinates of normal vector can be found as
Equation of tangent line can be found as:
