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2 years ago

What is the explicit rule for the arithmetic sequence shown in the graph?

Mathematics

1 answer:

Harman [31]2 years ago

3 0

Answer:

a(n) = 9.5 + 2(n - 1)

Step-by-step explanation:

Observe that each new term is obtained by adding 2 to the previous term. Thus, the common difference is 2 and the first term is 9.5.

Then a(n) = 9.5 + 2(n - 1)

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2 years ago

Find the amount of each payment to be made into a sinking fund which earns 9% compounded quarterly and produces $43 comma 000

Solnce55 [7]

Answer:

$2647.18

Step-by-step explanation:

Formula : $A[\frac{1+(\frac{r}{n})^{n}-1 }{(\frac{r}{n} )}]$

Future value = $43,000

r = rate of interest = 9% = 0.09

t = 3.5 years (compounded quarterly)

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Now put the values into formula :

43000 = $A[\frac{1+(\frac{0.09}{4})^{14}-1 }{(\frac{0.09}{4} )}]$

$43000=A(\frac{(1+0.0225)^{14}-1}{\frac{0.09}{4}})$

$43000=A(\frac{(1.0225)^{14}-1}{0.0225})$

43000=A( $\frac{0.365483427}{0.0225})$

43,000 = A(16.243708)

A = $\frac{43000}{16.243708}$

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3 years ago

What is the scale factor from ABC to DEF?

ollegr [7]

Answer:

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = $\frac{EF}{BC}$ = $\frac{11}{66}$ = $\frac{1}{6}$ → C

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Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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