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Dimas [21]
3 years ago
6

A new movie is released each year for 14 years to go along with a popular book series. Each movie is 2 minutes longer than the l

ast to go along with a plot twist. The first movie is 70 minutes long. Use an arithmetic series formula to determine the total length of all 14 movies. A. 2,058 minutes B. 1,162 minutes C. 294 minutes D. 166 minutes
Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Answer:

B

Step-by-step explanation:

If you use the general equation for an arithmetic sequence,

a_{n}=a_{1}+d(n-1),

where aₙ is the number of minutes for movie n,

a₁ is the length of the first movie in minutes, and

d is the difference between each movie, in minutes

Our sequence is this:

a_{n}=70+2(n-1)

If we want the length of the second movie (we already know the length of the first), we fill in n with 2:

a_{2}=70+2(2-1)

which gives us a length of 72.  Now for the length of movie n = 3:

a_{3}=70+2(3-1)

which gives us a length of 74.  Now for the length of movie n = 4:

a_{4}=70+2(4-1)

which gives us a length of 76.  One more and I'm sure you'll notice the pattern:

a_{5}=70+2(5-1)

which gives us a length of 78.  Now we will find the length of the 14th movie and add up by 2's all the way up to that number of minutes:

a_{14}=70+2(14-1)

which gives up a length of 96 minutes.  We will add up by 2's from 70 to 96:

70+72+74+76+78+80+82+84+86+88+90+92+94+96=1,162 min

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At the beginning of year 1, Lisa invests $500 at an annual compound interest
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Answer:

the actual answer is a(n)= 500 * ( 1 + 0.03) ^(n - 1) ;$579.64

Step-by-step explanation:

5 0
3 years ago
PLZ HELP!!!
bagirrra123 [75]
B) because the rate of change is 7, while for A the rate of change is 6 and for C and D the rate of change is 4
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3 years ago
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Tom has 12 reports to file. If each report takes an average of 45 minutes to file, how long will it take him to file 75% of them
Jobisdone [24]

Alright, lets get started.

One report takes to file an average of = 45 minutes

Means 12 reports takes to file time = 12 * 45 = 540 minutes

12 reports filing total time = 540 minutes

We are asked to find time to file 75 % of them.

Which means 75 % of 540

= 540 * 75/100

= 540 * 0.75

= 405 minutes

We could convert it into hrs dividing with 60.

405 / 60 = 6.75 hrs

Means it will take 6.75 hrs to file 75% of them: Answer

Hope it will help :)

8 0
3 years ago
Can anyone pls help me in dis
nikklg [1K]

Answer:

10.6 cm to the nearest tenth.

Step-by-step explanation:

If we let one side = x. So as each side of a square are equal, and using Pythagoras we have:

x^2 + x^2 = 15^2

2x^2 = 225

x^2 = 112.5

x = √112.5

x = 10.61.

7 0
3 years ago
I know its easy but I need it ASAP PLZ THE ANSWER!!! WILL MARK BRAINLIEST IF RIGHT
navik [9.2K]

Answer:

y= \frac{3}{4}= 0.75

Step-by-step explanation:

To subtract the second equation from the first equation, you have to divide the equation as left of the equal sign and right of equal sign then do the calculation separately. The calculation will look like this

-3x +2y     =     7

-3x - 2y     =     4

_____________   -

(-3x +2y) - (3x -2y)     =   7 - 4

-3x + 2y + 3x + 2y     =   3

4y= 3

y= \frac{3}{4}= 0.75

8 0
3 years ago
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