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Mathematics 12 Online
lilcutie2:

help number 9

lilcutie2:

wrong one

lilcutie2:

lilcutie2:

number 10

sophia333:

So i may be wrong, but to solve this you need to take 8000 and add 9%. Correct?

sophia333:

Do you have a calculator to do that?

lilcutie2:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @sophia333 Do you have a calculator to do that? \(\color{#0cbb34}{\text{End of Quote}}\) yes but I think that's wrong but I'm not sure

lilcutie2:

@az

sophia333:

Wait wait im trying to help you here

sophia333:

So 8000 + 9% is 8720. Now multiply that by 2.

sophia333:

What do ya think the answer is?

lilcutie2:

16018

sophia333:

No, try again.

lilcutie2:

17440

lilcutie2:

@az

sophia333:

Correct

sophia333:

@AZ tell me if im wrong >:C

AZ:

This is a compound interest question so the formula is \(\Large A = P(1 + \frac{r}{n})^{nt}\) we have this new variable called `n` which is how many times the interest is applied in a year In this question, we say semi-annually so that means n = 2

lilcutie2:

ok

sophia333:

yea im wrong >:c

AZ:

so he's borrowing 8,000 this is our P at 9%- our r (make sure to change it to a decimal) and t = 2

lilcutie2:

.09

lilcutie2:

@az am i right

AZ:

So let's plug in all the numbers into the formula, okay?

AZ:

\(\Large A = P(1 + \frac{r}{n})^{nt}\) \(\Large A = 8000(1 + \frac{0.09}{2})^{(2~\cdot~2)}\) So let's take care of the exponent first, what is 2 *2 =

lilcutie2:

4

AZ:

Now we have \(\Large A = 8000(1 + \frac{0.09}{2})^{4}\) Let's do the fraction What is 0.09 / 2 =

lilcutie2:

0.45

AZ:

check that again, you're missing a 0

lilcutie2:

.045

AZ:

now add 1 to it

lilcutie2:

1.045

AZ:

now what is (1.045) ^ 4

lilcutie2:

1.192

AZ:

So so far, we went from \(\Large A = 8000(1 + \frac{0.09}{2})^{(2~\cdot~2)}\) to \(\Large A = 8000(1.045)^{4}\)

AZ:

Now just multiply by 8000 and that's your final answer!

lilcutie2:

9536

AZ:

And that's your answer!

lilcutie2:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @AZ And that's your answer! \(\color{#0cbb34}{\text{End of Quote}}\) thxs

AZ:

You're most welcome!

lilcutie2:

the second one is the diagram I have to use

AZ:

Let's ask the new question in another post :)

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