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Mathematics 8 Online
lilcutie2:

how do I do this one

lilcutie2:

number one

lilcutie2:

@supie

AZ:

What are the instructions?

kylenbrownyt:

idk

AZ:

Are we calculating simple interest? mhmm

lilcutie2:

yes for the first one

kylenbrownyt:

Can you guys subscribe to my yt so i can pay of my collage taxes

lilcutie2:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @kylenbrownyt Can you guys subscribe to my yt so i can pay of my collage taxes \(\color{#0cbb34}{\text{End of Quote}}\) stop you keep bugging me about it just shut up about it

kylenbrownyt:

ok

AZ:

A = P (1 + rt) A = final amount including interest P = principle (this is the starting amount basically the numbers in your first column) r = rate t = time in years

lilcutie2:

a=4000(1+7.5*2)

AZ:

Yes!! Now first change 7.5% to 7.5/100 or 0.075 and then multiply by 2

lilcutie2:

.15

lilcutie2:

@az

AZ:

Good! Now we have a = 4000 * (1 + 0.15) what is 1 + 0.15 and then multiply that by 4000

lilcutie2:

4600

AZ:

Now that's the final amount with interest. It's basically how much we started with + interest. Your last column wants just the interest so to do that we just have to subtract the initial amount Final amount - initial amount = interest Does that make sense? So 4600 was your A or final amount and we said 4000 was the initial amount

lilcutie2:

how do you find anual rate

AZ:

so you finished the first question? and we're moving on to #3 now?

lilcutie2:

yes

AZ:

okay so remember the formula A = P * (1 + rt) so for #3 we know P = 6000 and we know t = 18 MONTHS but we need this as years. 18 months is 1 year and 6 months and 6 months is the same thing as half a year so 18 months = 1.5 years so t = 1.5 yrs now we also know A which is the final amount remember what I just told you? The final amount is basically our P (the initial amount) + the interest which is given to you in the last column as 1125 so A = 6000 + 1125 = ?

lilcutie2:

7125

AZ:

so that's A so now we have 7125 = 6000 * (1 + r*1.5) so first divide 6000 on both sides 7125 / 6000 =

lilcutie2:

1.1875

AZ:

now we have 1.1875 = 1 + 1.5r subtract 1 on both sides, what is 1.1875 - 1 =

lilcutie2:

.1875

AZ:

now divide by 1.5 and that will be your rate as a decimal to get the rate as a percentage, you just multiply by 100

lilcutie2:

I got 12.5

AZ:

don't forget the % sign it's 12.5% and that's correct :)

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