HELP!!!!!
The Smiths spent $2,000 on clothes in a particular year. If they increase the amount they spend on clothes by 10% each year, the Smiths will spend a total of $
on clothing in 4 years.

Question

HELP!!!!!
The Smiths spent $2,000 on clothes in a particular year. If they increase the amount they spend on clothes by 10% each year, the Smiths will spend a total of $
 on clothing in 4 years.

rebeccaxhawaii · Answer

WELCOME TO OS!!!

rebeccaxhawaii · Answer

do you have the fomula you would use?

abbyselena2199 · Answer

I dont know lol i just really need help.

welshfella · Answer

can you work out what 10% of $2000 is?

abbyselena2199 · Answer

its 200 right?

welshfella · Answer

yes

welshfella · Answer

so in the second year thwy have 2000 + 200 = $2200 to spend

abbyselena2199 · Answer

Ok?

welshfella · Answer

and in the third year its 10%  of 2200
Can you work that out?

abbyselena2199 · Answer

I know what your gonna say after i get all the years ill need to add them together well the total would be 10,164 but my plato says its wrong

abbyselena2199 · Answer

:(

welshfella · Answer

2000
2200
2200 * 1.1  = 2420
2420 * 1.1  = 2662

adding these up gives you $9282

abbyselena2199 · Answer

I've tried that answer also. It also says it's wrong.

welshfella · Answer

9282 is correct

abbyselena2199 · Answer

Okay. I'll try it again.

welshfella · Answer

I dont know if you've studied sequances but this is a geometric sequence with first term 2000 and common ratio 1.1


and sum for 4 years   =    2000*  ( 1.1^4 - 1)
                                                   ----------
                                                     1.1 - 1 

which comes to 9282

abbyselena2199 · Answer

Wanna help with another one?

welshfella · Answer

ok  but first tell me what does  xP  mean  in  chat?

welshfella · Answer

(unless its something rude!!)