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Ronch [10]
2 years ago
8

What is the nth term rule of the linear sequence below? -9, -5, -1,3,7,...

Mathematics
1 answer:
xenn [34]2 years ago
7 0

Answer:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13

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The paper cup is 9 cm tall and the circular opening has a radius of 2.5 cm.
KonstantinChe [14]

Answer:

have you tried photomath

Step-by-step explanation:

4 0
2 years ago
Jamal wants to construct a tangent line to circle O that passes through point M. He started by drawing a segment from point O to
IgorC [24]
The next step in his construction would have to be constructing the line between point M and point G. This is now your tangent line to the circle O. Additionally, you can also construct another tangent line that also passes through point M!
3 0
2 years ago
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How many miles per hour is this? (one furlong is 18 mile, and a fortnight is 14 days. a furlong originally referred to the lengt
WITCHER [35]

the complete question is

While driving in an exotic foreign land you see a speed limit sign on a highway that reads 180,000 furlongs per fortnight. How many miles per hour is this? (One furlong is 1/8 mile, and a fortnight is 14 days. A furlong originally referred to the length of a plowed furrow.)

Step 1

<u>convert (furlongs per fortnight) to (miles per fortnight)</u>

180,000 furlongs per fortnight=180,000*(1/8)=22,500 miles per fortnight

Step 2

<u>convert miles per fortnight to miles per hour</u>

1 day=24 hour

14 day=24*14=336 hours

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therefore

<u>the answer is</u>

66.96 mph

7 0
2 years ago
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum
anygoal [31]

Answer and Step-by-step explanation:

The computation of dividends per share on each class of stock for each of the four years is shown below:-

Particulars                1st year     2nd-year     3rd-year     4th year

Preferred dividend

paid a                         $34,000   $38,000    $36,000    $36,000

Number of preferred

stock b                       60,000     60,000       60,000       60,000

Dividend per share

(a ÷ b)                         $0.57       $0.63          $0.60             $0.60

Dividend paid to common

stockholders c               $0             $38,000    $44,000     $64,000

Number of common stock

shares d                       410,000     410,000     410,000     410,000

Dividend per share

on common stock        $0             $0.093        $0.11          $0.16

(c ÷ d)

Working note:

Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend

= 60,000 × $20 × 3%

= $36,000

Preferred stock

For 1st year

= $34,000

For 2nd-year

Dividend in year 2+ Dividend balance in year 1

= $36,000 + ($36,000 - $34,000)

= $38,000

For 3rd-year

= $36,000

For 4th year

= $36,000

Common stock dividend

Particulars                      1 year        2 year       3 year       4 year

Total dividend paid       $34,000  $76,000   $80,000     $100,000

Less:

Preferred stock

dividend                      $34,000      $38,000  $36,000     $36,000

Dividend paid to common

stockholders                 $0             $38,000    $44,000     $64,000

8 0
2 years ago
A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
xenn [34]

Answer:

2 x minus y = negative 6 and 3 x minus y = negative 5

Step-by-step explanation:

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y = 5 + 3x or 3x - y = -5

7 0
2 years ago
Read 2 more answers
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