2 years ago

Please help!!! I'll give brainliest, if you help U_U Tysm for the help xD

Mathematics

1 answer:

Valentin [98]2 years ago

7 0

Answer:

x is 122

Step-by-step explanation:

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On your tenth birthday, you received 500 which you invested at 9.5% interest, compounded annually. your investment is worth $250

igomit [66]

Compounded once a year: A=P(1+r)^t
2500=500(1+0.095)^t
1.095^t=5
because the unknown number is an exponent, use log to find the unknown:
log(1.095^t)=log5
tlog1.095=log5
t=log5/log1.095
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2 years ago

Given that an intercepted arc has length 6pi inches and a central angle is pi/3, find the radius

MA_775_DIABLO [31]

$\bf \textit{arc's length}\\\\
s=r\theta \quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
\theta =\frac{\pi }{3}
\end{cases}\implies 6\pi =r\left( \frac{\pi }{3} \right)\implies \cfrac{6\pi }{\frac{\pi }{3}}=r
\\\\\\
\cfrac{6\pi }{1}\cdot \cfrac{3}{\pi }=r\implies 18=r$