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Mathematics 9 Online
OpenStudy (anonymous):

please help

OpenStudy (anonymous):

In March, a family starts saving for a vacation they are planning at the end of august, the family expects the vacation to cost $1432. the start with $130. At the beginning of the month they plan to deposit 20% more than the previous month. Will they have enough money for their trip. if, not how much more will they need?

jimthompson5910 (jim_thompson5910):

What is 20% of $130?

OpenStudy (anonymous):

$26.00

jimthompson5910 (jim_thompson5910):

so in March they invest $130 then at the start of April (the beginning of the next month after march), they deposit 130+26 = 156 dollars

jimthompson5910 (jim_thompson5910):

how much do they deposit at the beginning of May?

jimthompson5910 (jim_thompson5910):

how are you getting that?

jimthompson5910 (jim_thompson5910):

may isn't $156

jimthompson5910 (jim_thompson5910):

I'm assuming they are increasing each deposit by 20%

jimthompson5910 (jim_thompson5910):

But I guess you may be right in saying that 20% increase only happens exactly one time

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

hmm now I'm not sure which one they want

jimthompson5910 (jim_thompson5910):

but if we assume they only increase it by 20% exactly one time, then you'll have 1 deposit of $130 (in March) and then 5 deposits of $156 (in April, May, June, July, August)

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

I'm getting $522 as well

jimthompson5910 (jim_thompson5910):

If you go with option 2 (increases of 20% each time), you will have Deposit in March: $130 Deposit in April: $156 Deposit in May: $187.20 Deposit in June: $224.64 Deposit in July: $269.57 Deposit in August: $323.48 Add them up: 130+156+187.20+224.64+269.57+323.48 = 1290.89 Now you're short 1432 - 1290.89 = 141.11 dollars

jimthompson5910 (jim_thompson5910):

Either way, you come up short (option 2 isn't as bad as option 1 though)

jimthompson5910 (jim_thompson5910):

you're welcome

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