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gulaghasi [49]
3 years ago
15

Find the 14th term of the geometric sequence 2, 4, 8,

Mathematics
2 answers:
liubo4ka [24]3 years ago
6 0

Answer:

16,384

Step-by-step explanation:

The pattern is times 2

2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192, 16384

The 14th term is 16384

Papessa [141]3 years ago
5 0

Answer:

16384

Step-by-step explanation:

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Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have
Gnoma [55]
<h3>Answer:  6 mph</h3>

========================================

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

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

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

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

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at <u>6 mph</u> at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

5 0
3 years ago
You called Ticket Taker for local team football tickets. The tickets cost $94 and you will be charged a processing fee of 5%. Ho
OLga [1]
4.7 hope this helps, good luck                               
4 0
3 years ago
Read 2 more answers
I need help ASAP!!!!!!!!!
Rudik [331]

Answer:150


Step-by-step explanation:at the to it says 75 so I would add them with it would be 150


3 0
3 years ago
PLEASE HELP!! NEED ASAP 100 POINTS!!
Leto [7]

Answer:

See Below.

Step-by-step explanation:

Remember that the maximum account balance Ebony had was $400.

We can see that her bank balance first reached $400 on Day 4 and continued until Day 8.

Part A)

Since the maximum amount is $400, it is whenever the graph reaches (and stays) at its maximum, or the highest points on the graph.

We can see that at around Day 4, she first reached her maximum of $400 since that is the highest point of the graph.

And this continues until approximately Day 8.

Therefore, Ebony first reached $400 on Day 4 and stayed at $400 until Day 8.

Part B)

Refer above. The explanation is the same.

Part C)

Jade is says that the amount Ebony is depositing per day from Days 0 to 4 is the same as the amount Ebony is withdrawing per day from Days 8 to 12.

We also know that Day 12 is when Ebony’s account first reached 0.

Essentially, Jade is saying that the <em>slope</em> of the line from Days 0 to 4 is <em>the same</em> as the <em>slope</em> of the line from Days 8 to 12.

Ignoring the negative, we can immediately see that this is not true without calculating.

This is because the slope of the line from Days 8 to 12 is much steeper than than slope of the line from Days 0 to 4.

So, the two slopes are not equal since they are not the same steepness.

Therefore, this means that from Days 8 to 12, Ebony withdrew money at a <em>faster rate per day</em> than she had been depositing from Days 0 to 4.

Hence, Jade’s statement cannot be true.

3 0
3 years ago
Read 2 more answers
BRAINLIEST..........show expressions too&lt;333
vovikov84 [41]

Answer:

9.) t=.05m+20

10.) t=.10m+5

11.) 300 minutes of calling would make the two plans equal.

12.) Company B.

Step-by-step explanation:

Let <em>t</em> equal the total cost, and <em>m,</em> minutes.

Set up your models for questions 9 & 10 like this:

<em>total cost = (cost per minute)# of minutes + monthly fee</em>

Substitute your values for #9:

t=.05m+20

Substitute your values for #10:

t=.10m+5

__

To find how many minutes of calling would result in an equal total cost, we have to set the two models we just got equal to each other.

.10m+5=.05m+20

Let's subtract 5 from both sides of the equation:

.10m=.05m-15

Subtract .05m from both sides of the equation:

.05m=15

Divide by the coefficient of m, in this case: .05

m=300

__

Let's substitute 200 minutes into both of our original models from questions 9 & 10 to see which one the person should choose (the cheaper one).

Company A:

t=.05(200)+20

Multiply.

t=10+20

Add.

t=30

Company B:

t=.10(200)+5

Multiply.

t=20+5

Add.

t=25

<em />

6 0
3 years ago
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