Leo paid $2400 in interest on an amount borrowed for 10 years at a 4% annual simple interest rate.
How much did Leo borrow?
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OpenStudy (anonymous):
@bohotness
OpenStudy (anonymous):
@dan815
OpenStudy (anonymous):
o thanks i think it is 6000
OpenStudy (anonymous):
???
OpenStudy (anonymous):
@StudyGurl14
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OpenStudy (dan815):
simple interest so
its agreed u just pay 4% of the 2400 every year
so 0.04 * 2400 = interest for 1 year
you do that for 10 years so 10*0.04*2400
OpenStudy (anonymous):
ok so =96
OpenStudy (anonymous):
right?
OpenStudy (anonymous):
hello?
OpenStudy (anonymous):
RELLY WHY DOES PEOPLE DO THIS TO ME I HATE IT WHEN YOU DOIT TO ME ALL I NEED IS THIS ONE QUESTION!!!!!?
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OpenStudy (anonymous):
@dan815
TheSmartOne (thesmartone):
How did you get 96?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
thanks for helping me
TheSmartOne (thesmartone):
\(\sf I = PRT\)
Where
I is interest
P is the amount borrowed
R is the interest rate
T is the time.
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OpenStudy (anonymous):
ok so is it like pemdas?
TheSmartOne (thesmartone):
So they said that the interest rate is 4% or .04
They also said that the interest is 2400 so I = 2400
and T = 10 years
OpenStudy (anonymous):
ok
TheSmartOne (thesmartone):
Well basically all we have to do is use the formula and just solve for it :)
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
so we multiply
TheSmartOne (thesmartone):
So plugging in those numbers:
\(\sf I = P \times R \times T\)
Plug in the numbers:
\(\sf 2400 = P \times .04 \times 10\)
Solve for P
OpenStudy (anonymous):
so it is p=4
TheSmartOne (thesmartone):
Actually no.
OpenStudy (anonymous):
ok
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TheSmartOne (thesmartone):
Solve for P
\(\sf 2400 = P \times .04 \times 10\)
So we need to divide by .04 and 10 on both sides so:
\(\sf\Large\frac{2400}{.04 \times 10} = \frac{P \times .04 \times 10}{.04 \times 10}\)
And if we simplify that we get
\(\sf\Large P = \frac{2400}{.04 \times 10}\)
OpenStudy (anonymous):
ok
TheSmartOne (thesmartone):
And btw, @dan815 was wrong lol :P
He thought that the P = 2400, when it actually is I = 2400
OpenStudy (anonymous):
ok so it is 2400
TheSmartOne (thesmartone):
No, do the multiplication in the denominator and then divide.
What is \(\sf .04 \times 10=?\)
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OpenStudy (anonymous):
it is 0.4
TheSmartOne (thesmartone):
Correct. So then what is
\(\sf\Large\frac{2400}{.4}=?\)
OpenStudy (anonymous):
it is 600
OpenStudy (dan815):
oh oops :) sry!!
OpenStudy (dan815):
i did not read the question
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TheSmartOne (thesmartone):
No, use a calculator.
If you don't have one, then remember that \(\sf\Large .4 = \frac{4}{10}\)
So then that means
\(\sf\Large\frac{2400}{.4}=\frac{2400}{\frac{4}{10}} = 2400 \div \frac{4}{10}=2400 \times \frac{10}{4}= \frac{2400 \times 10}{4}\)
OpenStudy (anonymous):
yea thanks @dan815
OpenStudy (anonymous):
ok
TheSmartOne (thesmartone):
So what did you get? 600 is wrong.
OpenStudy (anonymous):
ok it is 6000
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OpenStudy (anonymous):
right?
TheSmartOne (thesmartone):
Correct! :)
OpenStudy (anonymous):
ok so that is the answer
TheSmartOne (thesmartone):
It is (:
OpenStudy (anonymous):
ok thanks for stepingin and helping me other than dan815 thanks for saving the day
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TheSmartOne (thesmartone):
Anytime :D
OpenStudy (anonymous):
have a nice day
TheSmartOne (thesmartone):
I don't respond to tags really fast because I get to many of them. But if you need my help fast, tag me and also message me.
Have a great day (: