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Ann [662]
3 years ago
15

If you invest 2,000 today in a bank that gives you a 4 percent annual interest rate, which of these items can you buy in seven y

ears?
A: a home theater system worth $3,000
B: a designer dress worth $2,700
C: a mountain bike worth $2,500
Mathematics
2 answers:
postnew [5]3 years ago
8 0
I=prt
i=2000 X .04 X 7
i = 560
So you earned 560 after 7 years, plus your 2000 you started with
You can get C
miv72 [106K]3 years ago
8 0
The answer is C

$2,000
4% annual rate means $80/year 
$80 x 7 years = $560

$560 + $2,000 = $2,560 

And you can buy just the mountain bike. 
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SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

\angle NMP+\angle NOP=180^0

Recall that

\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}

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\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}

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\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}

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x=17

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\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}

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