Answer:
25,800
Step-by-step explanation:
Plug in 4 everytime you see T.
multiple-150 times 4 plus 50000 which gives you 49,400.
then multiple 50 times 4 and add 75000, giving you 75,200 then subtract 75,200 - 49,400 which you end up with 25,800.
hope this helped
Answer:
$1800
Step-by-step explanation:
1. Approanch
An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.
2. Solving
Original salary; 1500
Raise; 20%
<u>a. convert the raise as a percent into a decimal, then add 1</u>
20% = 0.2
0.2 + 1 = 1.2
<u>b. multiply the number by the original salary</u>
1.2 * 1500
1800
Step-by-step explanation:
![4csc(2x) = 2csc^2(x) tan(x)](https://tex.z-dn.net/?f=4csc%282x%29%20%3D%202csc%5E2%28x%29%20tan%28x%29)
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
![4 \frac{1}{sin(2x)}](https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7Bsin%282x%29%7D)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
![4 \frac{1}{2sin(x)cos(x)}](https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7B2sin%28x%29cos%28x%29%7D)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
![2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%2Asin%28x%29%7D%7Bsin%28x%29cos%28x%29%2Asin%28x%29%7D)
![2\frac{sin(x)}{sin^2(x)cos(x)}](https://tex.z-dn.net/?f=2%5Cfrac%7Bsin%28x%29%7D%7Bsin%5E2%28x%29cos%28x%29%7D)
![2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7Bsin%5E2%28x%29%7D%20%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D)
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
Eh 12/20 is .6 pages a minute. 20/32 is .625 pages a minute