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3 years ago

Find the next three terms in each geometric sequence. -4, 16, -64, ...

Mathematics

1 answer:

givi [52]3 years ago

3 0

Answer:

Step-by-step explanation:

Common ratio r = a₂/a₁ = 16/(-4) = -4

a₄ = a₃(-4) = 256

a₅ = a₄(-4) = -1024

a₆ = a₅(-4) = 4096

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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

nekit [7.7K]

Answer:

1 - 60

2 - 120

3 - 60

4 - 120

5 - 60

6 - 120

7 - 60

8 - 120

Step-by-step explanation:

Via supplementary angles, you can conclude that angle 5 is 60. Because of vertical angles, angle 8 is 120 and angle 7 is 60. Because of alternate exterior angles, angle 1 is congruent to angle 7 and angle 2 is congruent to angle 8, meaning angle 1 is 60 and angle 2 is 120. Because of vertical angles, angle 3 is 60 and angle 4 is 120.

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2 years ago

Solve each system of equations

marishachu [46]

Answer:

1. x = 7/2 + 5y/2

2. x = 3/4 - 5y/8

3. x = 1/8 = 5y/8

Step-by-step explanation:

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3 years ago

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By rounding to 1 significant figure, estimate<br> 306.9<br> ÷<br> 6.4

Ray Of Light [21]

The correct answer is 47.95

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3 years ago

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If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that

pogonyaev

$Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested$

$Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)$

$Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)$

$\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)$

$Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250$

$\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250$

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4 years ago

Whats the median and the mode of the data 43,37,49,51,56,40,44,50,36,

nikklg [1K]

Answer:

Here I have uploaded the file with the answers

Step-by-step explanation:

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