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3 years ago

What is the sum of the arithmetic sequence 8, 14, 20 ..., if there are 22 terms?

Mathematics

2 answers:

timama [110]3 years ago

5 0

Answer: I'm pretty sure its 1562

prohojiy [21]3 years ago

3 0

Answer:

The sum of 22 terms of given AP = 1562

Step-by-step explanation:

Formula:-

Sum of n terms of AP,

Sₙ= (n/2)[2a + (n - 1)d]

To find the sum of 22 terms

Here. a = 8, d = 6 and n = 22

Sₙ= (n/2)[2a + (n - 1)d]

S₂₂ = (22/2)[2*8 + (22 - 1)*6]

= 11[16 + 126] = 11 * 142 = 1562

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Solve. Show your work. 0.24+ 0.532 =

garik1379 [7]

Answer:

0.772

Step-by-step explanation:

0.24+ 0.532 =

Line up the decimals

0.24

+ 0.532

------------

0.772

7 0

3 years ago

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Tom buys a boat from a friend, and will pay his friend the same amount of money each year until the boat is paid for. The follow

Dmitry_Shevchenko [17]

The graph of amount Tom owes his friend after a given time, t, is a straight line graph with a negative slope

Please find attached the required example of a possible graph that shows the amount Tom owes his friend

Reason:

Let A represent the amount of money Tom buys the boat with, let x

represent the amount of equal payment made and y represents the

amount Tom owes the friend after a given time, t, we have;

y = A - x·t

Therefore, the slope of the graph formed is -x, the y-intercept of the graph

is A, from which the graph that gives the amount of money, in dollars, Tom

owes his friend, as a function of time, in years can be presented as follows,

using example values;

A = $25,000 (Amount the Tom agrees to buy the boat)

x = $5,000 (Amount Tom pays each year for the boat)

By plugging in the above example values, the attached graph can be drawn using MS Excel

Learn more about plotting of straight line graphs here:

brainly.com/question/11097080

6 0

2 years ago

A vehicle 1 1/8 uses gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon

alexgriva [62]

Answer: 12 miles per gallon

trust

mama

this

correct

3 0

3 years ago

Read 2 more answers

Help me with this problem and show work please

Elanso [62]

Multilpy -2 on both sides of the < sign this will get u 1x < 24 in other words x < 24

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3 years ago

A 555-mile, 5-hour plane trip was flown at two speeds. For the first part of the trip, the average speed was 105 mph. Then the t

Pepsi [2]

Answer:

Hence Distance traveled at speed 115 mph is 345 miles and Distance traveled at speed 105 mph is 210 miles.

Step-by-step explanation:

Given:

Total Distance = 555 mile

Total time = 5 hour

Let time taken to travel at 115 mph be t

So Time taken to travel at 105 mph will be equal to difference between Total time and time taken to travel at 115 mph.

Time taken to travel at 105 mph = $5-t$

Distance traveled in speed 105 mph will be equal to speed multiplied by time taken to travel at 105 mph.

Framing in equation form we get;

Distance traveled in 115 mph = $115t$

Also;

Distance traveled in speed 105 mph will be equal to speed multiplied by time taken to travel at 105 mph.

Framing in equation form we get;

Distance traveled in 105 mph = $105(t-5) = 105t - 525$

Now Total Distance traveled is equal sum of Distance traveled in 115 mph and Distance traveled in speed 105 mph

$115t-(105t-525)=555\\\\115t-105t+525=555\\\\10t+525=555\\\\10t=555-525\\\\10t=30\\\\t=\frac{30}{10}=3$

Time taken to travel at 115 mph = 3 hrs.

Time taken to travel at 105 mph = $5-t=5-3=2\ hrs$

Now Distance traveled in 115 mph = $115t = 115 \times 3 = 345\ miles$

Distance traveled in 105 mph = $105(5-t) = 105(5-3)= 105\times 2 = 210\ miles$

Hence Distance traveled at speed 115 mph is 345 miles and Distance traveled at speed 105 mph is 210 miles.

6 0

2 years ago