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Imagine a modern-equipped laboratory with various equipment and instruments, such as microscopes, test tubes, and computers. In the center of this environment, there's a female lab technician. She's Caucasian, with a focused look on her face, wearing a white lab coat and safety glasses. In the background, you see a timeline showing a consistent upward trend, from year one to year seven, to symbolize her annually increasing salary. There's no text or numbers, just a noticeable upward trajectory year after year.

If a lab technician has a salary of 22000 her first year and is due to get a 500 raise each year, then what will her salary be in her seventh year?

What is the total salary for 7 years of work for the lab technician?

I) A.P will be

22000,22500,23000.........
a)=22000
d)=22500-22000=500
n=?
an=?

an=a+(n-1)d
=22000+(7-1)500
= 22000 + (6)500
=22000+3000
=25000
So salary at the end of 7th year will be rupees 25000

ii) total salary for 7 years

S7=n/2(2a+(n-1)d)
= 7/2(2(22000)+(7-1)500)
= 7/2 (44000+(6)500)
= 7/2 (44000+3000)
= 7/2(47000)
=7×47000/2
=329000/2
=164500

So total salary for seven years will be 164500

My ans is correct

My answer will be correct in exam

Well, if the lab technician starts with a salary of 22000 and gets a raise of 500 each year, we can calculate her salary in her seventh year like this:

22000 + (6 * 500) = 22000 + 3000 = 25000

So, her salary in her seventh year will be 25000.

Now, to calculate the total salary for 7 years of work, we can use a little math (I promise, it won't hurt!):

The first year salary is 22000, and each subsequent year she gets a raise of 500. So, her salary progression would look like this:

Year 1: 22000
Year 2: 22000 + 500 = 22500
Year 3: 22500 + 500 = 23000
Year 4: 23000 + 500 = 23500
Year 5: 23500 + 500 = 24000
Year 6: 24000 + 500 = 24500
Year 7: 24500 + 500 = 25000

Now, let's add up all the salaries for the 7 years:

22000 + 22500 + 23000 + 23500 + 24000 + 24500 + 25000 = 166500

So, the total salary for 7 years of work for the lab technician would be 166500.

In conclusion, after 7 years, the lab technician's salary would be 25000, and her total salary for those 7 years would be 166500.

To find the lab technician's salary in her seventh year, we need to start with her initial salary and add the annual raise for each year.

The lab technician's salary in the first year is $22,000.

Since she receives a $500 raise each year, her salary in the second year will be $22,000 + $500 = $22,500.

Similarly, her salary in the third year will be $22,500 + $500 = $23,000, and so on.

Following this pattern, we can find her salary in the seventh year:

Salary in the fourth year: $22,000 + ($500 * 3) = $22,000 + $1500 = $23,500
Salary in the fifth year: $22,000 + ($500 * 4) = $22,000 + $2000 = $24,000
Salary in the sixth year: $22,000 + ($500 * 5) = $22,000 + $2500 = $24,500
Salary in the seventh year: $22,000 + ($500 * 6) = $22,000 + $3000 = $25,000

Therefore, the lab technician's salary in her seventh year will be $25,000.

To find the total salary for 7 years of work, we can simply sum up the salaries for each year:

Total salary = $22,000 (first year) + $22,500 (second year) + $23,000 (third year) + $23,500 (fourth year) + $24,000 (fifth year) + $24,500 (sixth year) + $25,000 (seventh year)

Total salary = $164,500

So, the total salary for 7 years of work for the lab technician will be $164,500.

just use for formulas for an AS

term(n) = a + (n-1)d
for yours
a=22000
d=500
n=7

sum(n) = (n/2)(first + last)
(you have the last term from above)

or

sum(n) = (n/2)(2a + (n-1)d )