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Kana earns $25,000dollar salary in the first year of her career. Each year, she gets a 4 percent raise. How much does Kana earn in the first 10 years of her career? 

 Jun 12, 2019
edited by ProffesorNobody  Jun 12, 2019
 #1
avatar+428 
-1

If your desperate ytou should start getting familar with the math lesson and text book and try a little reading for a change how I would do it is divide the value by 100 and the quiotient of that is equal to 1 percent.... the multiply it by four and add that that going up every year like this.... 

 

 

1 year $25,000 

2 year $25,000 + 4% 

3 year $25,000 + 4% + 4% 

4 year $25,000 + 4% + 4% + 4%

5 year  $25,000 + 4% + 4% + 4% +4%

6 year $25,000 + 4% + 4% + 4% +4% + 4%

7 year $25,000 + 4% + 4% + 4% +4% + 4% + 4%

8 year $25,000 + 4% + 4% + 4% +4% + 4% + 4% + 4%

9 year $25,000 + 4% + 4% + 4% +4% + 4% + 4% + 4% + 4%

10 year $25,000 + 4% + 4% + 4% +4% + 4% + 4% + 4% + 4% + 4% 

 

once you do this you will get your answer

 Jun 12, 2019
 #2
avatar+25 
-7

but the 4% changes per year no? im confused

ProffesorNobody  Jun 12, 2019
edited by ProffesorNobody  Jun 12, 2019
 #3
avatar+428 
-1

We add 4% every year so then you could say the second year add the original value and 8% of the orignal value

HiylinLink  Jun 12, 2019
 #4
avatar+25 
-6

??????????

ProffesorNobody  Jun 12, 2019
edited by ProffesorNobody  Jun 12, 2019
 #5
avatar+25 
-6

no it changes...... like the second year you add 1000 and the next 1040...

ProffesorNobody  Jun 12, 2019
edited by ProffesorNobody  Jun 12, 2019
 #6
avatar+428 
-2

Let me explain myself once you divide this orignal value by 100 

 

it equals 250 so 250 times 4 = 100 you add 1000 to the original value the first year btut he percent raises every year so the next year she's going ot get 2000 more like this... 

 

 

25,000 + 1000  

 

25,000 + 2000 

 

see how this translates to 25,000 + 4% and 25,000 + 4% +4% ?

HiylinLink  Jun 12, 2019
 #7
avatar+111396 
+1

We have a sum of a geometric series

 

The sum =     Initial Amt [ 1 - common ratio ^n ] / [ 1 - common ratio ]

 

Intial amt  = 25000

Common ratio  = 1 + 4%  =  1.04

n = 10  (years)

 

So

 

Total  =

 

25000 [  1 - 1.04^10] / [ 1 -1.04]   ≈ $300,152.68

 

 

cool cool cool

 Jun 12, 2019
edited by CPhill  Jun 12, 2019
 #8
avatar+25 
-4

thank you

ProffesorNobody  Jun 13, 2019

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