After 6 months the simple interest earned annually on an investment of $6,000 was $463. Find the interest rate to the nearest tenth of a percent.
I = Prt with T used in years... I = interest p = principal r = interest rate t = time
it would be 0.5
@JuanitaM
hmmmm
I got a slightly different answer
Dont you have to convert the 6 months into a year?
You were provided only I, P , and T remember T = 6/12 = 1/2
Yes you do that is .5 or 1/2
The question wants you to find R the rate..so plug everything in and tell me what you got for R
\(\qquad \textit{Simple Interest Earned}\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\to &\$463\\ P=\textit{original amount deposited}\to& \$6000\\ r=rate\\ t=years\to &6 \end{cases} \\ \quad \\ \textit{solve for "r"}\)
So i take 6,000= 463 x R X 0.5
aah...P = principal which is 6000 i - interest which is 463
Annual investment is termed they are using for the principal amount
I'm pretty confused
You were on the right path, you just mixed up principal and interest amount
Simple interest is I = PRT
what amount did they tell you was interest? principal? and you got T correct at .5
6,000 and 463?
yes, now plug it all in solve for R like you did the first time...you were close don't get frustrated...
so 463 = 6000 * r *.5
15%?
I actually got .16 and the question said to round to the nearest tenth of a percent..
15.4%
Thank you for your help!!
Yes,my calculator was on 2 decimals...I will take your 15.4%..Glad I could be of assistance! Happy Studying
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