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Alex787 [66]
3 years ago
7

Given the angles in the diagram, what is the measure of ∠C ?

Mathematics
2 answers:
Westkost [7]3 years ago
8 0
Since quadrilaterals have interior angles that add up to 360, then subtract the known values from 360

360 - 90 - 90 - 146 = 64

Angle C = 64
gizmo_the_mogwai [7]3 years ago
8 0

Answer:

34°

Step-by-step explanation:

Since the total angle of a trapezoid is 360°

90 + 90 + 146 + x = 360 *Add 90, 90, and 146*

326 + x = 360                  *Subtract 326*

x = 34°

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8 0
3 years ago
What is interest earned on 3500 invested at 6% compounded quarterly or 12 years
enyata [817]
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
A=3500\left(1+\frac{0.06}{4}\right)^{4\cdot 12}\implies A=3500(1.015)^{48}

so, the interest earned then will be  A - 3500.
6 0
3 years ago
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