whats the interest rate on Philips account
\(\bf interest = principal \times rate(\textit{in decimals}) \times time(\textit{years})\) notice the graph starts off from the AMOUNT of $450, so that's the original deposit, or \(\bf Principal\) the \(\bf Interest\ earned\), will be the amount earned between years, so let's look from 0years, to 9years, that is from the beginning starts off with $450, 9 years later it has $9,583.65 9,583.65 - 450 = 9,133.65 so we can say that \(\bf interest = principal \times rate(\textit{in decimals}) \times time(\textit{years})\\ i = prt\\ \quad \\ \quad \\ 9133.65(\textit{earned interest}) = 450 \times rate(\textit{in decimals}) \times 9\textit{years}\\ \quad \\ 9133.65 = 450 \times rate \times 9\\ \quad \\ \quad \\ i = prt \implies \cfrac{i}{pt} = r\)
@jdoe0001
so what is the rate?
dunno... what did you get from \(\bf \cfrac{i}{pt} = r\quad ?\)
182
182? well.... it gives a bit more than that
182.673
\(\bf 9133.65 = 450 \times rate \times 9\\ \quad \\ \quad \\ i = prt \implies \cfrac{i}{pt} = r \implies \cfrac{9133.65}{450\times 9} = r\)
2.25?
yes, that's the decimal format for the rate 2.25 * 100 is our rate, so the rate is 225% 225%, pretty high rate of interest, but if you notice the numbers he started from $450, and it goes up and up really quickly, so yes, he's more than tripling his amount every year
so what is the answer
2.25 * 100 225% is the interest rate
not an optoin
option
3.3 6.7 9 15.3
%
these are the options
hmmmm... I wonder what the blue numbers are then :/
IDK
ohhh shoot, the 1st number is just the x-coordinate
so, he really didn't make $9,583.65 it's just ( 9 , 583.65) => in 9 years, his balance is 583.65
ok.. then let's redo that part with the correct balance amount Principal is $450 after 9 years, he's got $583.65 difference will be the earned interest, that is 583.65 - 450 = 133.65
I figured it was too high =)
ok
\(\bf 133.65 = 450 \times rate \times 9\\ \quad \\ \quad \\ i = prt \implies \cfrac{i}{pt} = r \implies \cfrac{133.65}{450\times 9} = r\)
the number will be a decimal figure, so, * 100, is the percentage rate
0.033
yeap, 0.033 * 100 = 3.3 so the interest rate is 3.3%
thanks
yw
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