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Alenkasestr [34]
3 years ago
11

Find the next 3 terms in each sequence 1). 8, 24, 72, 216.... ____, ______, _____,

Mathematics
1 answer:
allochka39001 [22]3 years ago
7 0

Answer: 648, 1,944, and 5,832.

Step-by-step explanation: Begin by studying the pattern.

Here, notice that 8 × 3 is equal to 24.

24 × 3 is equa to 72.

72 × 3 is equal to 216.

Continuing the same pattern, 216 × 3 is equal to 648.

648 × 3 is equal to 1,944.

1,944 × 3 is equal to 5,832.

I have also attached in image below showing my work.

So the three missing terms in the pattern are <em>648</em>, <em>1,944</em>, and <em>5,832</em>.

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Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in
solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

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time t= 3years

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A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3

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solving for option B  which gives her 6% simple interest annually

the simple interest formula is

A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68

Interest isA-P=51213.68-43000= 8213.68= $8213.68

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8411.58-8213.68= 197.9= $197.9

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