1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrews [41]
3 years ago
10

NEED ANSWERS AND EXPLANATION ASAP!!!

Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

(1)

Note the ratio of consecutive terms is common, that is

2000 ÷ 2500 = 0.8

1600 ÷ 2000 = 0.8

1280 ÷ 1600 = 0.8

This indicates that the series is geometric with common ratio r = 0.8

The sum to n terms of a geometric series is

S_{n} = \frac{a(1-r^n)}{1-r} ← a is the first term

Here a = 2500 and r = 0.8, thus

S_{5} = \frac{2500(1-0.8^5)}{1-0.8} = \frac{2500(0.67232)}{0.2} = 8404

(2)

Note the difference in consecutive terms is common, that is

3 - 11 = - 8

- 5 - 3 = - 8

- 13 - (- 5) = - 8

This indicates that the series is arithmetic with common difference d = - 8

The sum to n terms of an arithmetic series is

S_{n} = a₁ + (n - 1)d ← a₁ is the first term

Here a₁ = 11 and d = - 8, thus

S_{14} = 11 + (13 × - 8) = 11 - 104 = - 93

You might be interested in
Eli and Karl each throw a basketball straight up in the air at the same time. Eli is standing on a deck and the height of his ba
tino4ka555 [31]
We are to find the time at which the height of basketball thrown by Eli and Karl is equal. We have the functions which model the heights of both basketballs. So by equating the functions representing the height of both basketballs we can find the value of x from that equation at which the height is same for both basketballs.

-4.9 x^{2} +12x+2.5=-4.9 x^{2} +14x \\  \\ 
12x+2.5=14x \\  \\ 
2.5=2x \\  \\ 
x=1.25

Thus after 1.25 seconds the height of basketballs thrown by Eli and Karl will be at the same height. This can be verified by finding the heights of both at x=1.25

For Eli:
Height=f(1.25)=-4.9 (1.25)^{2}+12(1.25)+2.5=9.84375

For Karl:
Height=f(1.25)=-4.9 (1.25)^{2}+14(1.25)=9.84375

Thus height of both basketball is equal after 1.25 seconds


5 0
3 years ago
Read 2 more answers
What is the solution of the system? Use elimination. <br> 3x - 4y = 9<br> -3x + 2y = 9
densk [106]
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.

3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.

We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).

-2y = 18

18/-2 = -9.

Now we have y = -9, and we can go back into the problems to solve for x.

<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.

3x = -27

x = -9.

Confirm with the final equation:

-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.

6 0
3 years ago
Read 2 more answers
Please help and explain
Alja [10]

corn = 15%

angle = (15/100)×360

= 54°

7 0
3 years ago
What is sela's speed in yards per minute if her speed is 24 miles per hour
Alina [70]
704 miles per minute

8 0
3 years ago
Read 2 more answers
A certain shade of green paint is made from 5 parts yellow mixed with three parts blue. If 2 cans of yellow are used, how many c
vekshin1
5 Yellow = 3 Blue 
2 Yellow =  3/5 *2 = 6/5 Blue, 1.2 cans of Blue .
<u>Award brainliest if helped!</u>
6 0
3 years ago
Other questions:
  • What is the improper fraction of 7/7
    9·2 answers
  • 75 people to 25 people what is the percentage of the change?
    15·2 answers
  • Find four consecutive even integers such that if the sum of the first and third is multiplied by 3, the result is 28 less than f
    10·1 answer
  • Two towns that are 31.5 km apart are 3 cm apart on a map. what is the scale of the map?
    9·2 answers
  • Water makes about 3/4 of a person’s weight.
    11·2 answers
  • Y - 8 = -10<br> How do I verify the solution ?
    7·1 answer
  • Which of the following is an arithmetic sequence?
    10·1 answer
  • Please Help for maths.
    8·1 answer
  • In the figure shown, AB = 8 and AD = 5. What is BC?<br> BC=type your answer...
    8·1 answer
  • Will give brainliest no files plz
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!