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Mathematics 14 Online
OpenStudy (anonymous):

Ok, it can't be from an exam but, it can be from one of my lessons right??

OpenStudy (anonymous):

sure

OpenStudy (amistre64):

please use the same question box to maintain a running dialogue in as opposed to posting new stuff. The chatbox is best utilized for "conversational" stuff.

OpenStudy (anonymous):

I have a question but, it's from my old test to study for another test that I have coming up is this ok??

OpenStudy (anonymous):

you can ask anything.. go ahead :)

OpenStudy (anonymous):

Keisha's parents want to save in her college savings account over the next years. They have to use as an initial deposit. What simple annual interest rate do they need to meet their goal? Round your answer to the nearest tenth. Thank's for your Help!!!! :D

OpenStudy (anonymous):

Sorry they want to save $20,000 They have $8,000 and an initial deposit

OpenStudy (amistre64):

you are also missing the number of years that they have to accumulate this amount

OpenStudy (amistre64):

simple interest takes the form: I = Prt , to determine the amount of interest earned in "t" years we see that they want 20000 from 8000 ------------ 12000 is the amount of money in interest that they want to acquire 12000 = 8000 * rate * #years

OpenStudy (anonymous):

How can I multiply the rate if I don't know what it is?

OpenStudy (amistre64):

the rate is what you need to find, algebra helps move things about

OpenStudy (amistre64):

12000 = 8000 * rate * #years ; divide by 8000 12/8 = rate * #years ; divide # years 12/(8*#yrs) = rate ; divide # years

OpenStudy (amistre64):

that last line, forgot to edit :)

OpenStudy (amistre64):

12000 = 8000 * rate * #years ; divide by 8000 12/8 = rate * #years ; divide # years 12/(8*#yrs) = rate

OpenStudy (anonymous):

I think I got it I am just checking is it 1.5??

OpenStudy (amistre64):

i have no idea what the number of years for the stated problem is .... its missing from your post

OpenStudy (anonymous):

the number of years is 20

OpenStudy (amistre64):

20 years eh .... then the rate is: 12/(8*20) 3/(4*20) 3/80; this gives a decimal that would need to be multiplied by 100 for a % value

OpenStudy (phi):

@fluteprincess352 Is this the question you want to find ?

OpenStudy (phi):

you need 12000 in interest so we start with amistre's equation 12000 = 8000 * rate * #years with #years= 20, you have 12000 = 8000*rate*20 you can divide both sides by 8000 \[ \frac{12000}{8000} = \frac{8000}{8000} \cdot rate \cdot 20\] simplify the left side to 12/8 and then 3/2 = 1.5 \[ 1.5 = rate \cdot 20 \] divide both sides by 20 \[ \frac{1.5}{20} = rate \cdot \frac{20}{20} \] change to a decimal \[ 0.075 = rate \] multiply by 100 to change to percent: rate= 7.5%

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