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
svp [43]
3 years ago
9

Find the sum of the first 6 terms of the following series, to the nearest integer.

Mathematics
1 answer:
natka813 [3]3 years ago
8 0

Answer:

1008

Step-by-step explanation:

geometric sequence:

a=16

r=32/16=2

Sum of GS:

s=a(1-r^n)/(1-r)

S(6)=16(1-2^6)/(1-2)

=1008

You might be interested in
David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each and some sour candies. Each sour candy costs $0.2
Agata [3.3K]

Answer:

5 ≥ 9*.15 + x*.25

He can buy up to 14 candies

Step-by-step explanation:

Total money ≥number of peppermints * cost per peppermint + number of sour candies * cost per sour candy

We know he has 5 dollars.  He bought 5 peppermints at $.15 cents each and x sour candies at $.25 each

Substituting in

5 ≥ 9*.15 + x*.25

5≥1.35 + .25x

Subtract 1.35 on each side

5-1.35 ≥ 1.35-1.35+.25x

3.65≥.25x

Divide by .25 on each side

3.65/.25 ≥ .25x/.25

14.6 ≥ x

He can buy up to 14 candies.  You can't buy part of a candy

6 0
3 years ago
Fred Salmon purchased six $1,000 bonds at 92. The bonds pay 6.5%, what is the cost of the bonds
soldi70 [24.7K]
The cost of the bond
6×1,000×0.92=5,520
4 0
3 years ago
Read 2 more answers
The 5 players on the basketball team have a mean height of 141 cm. The heights of 4 of the players are listed below. The height
joja [24]

\frac{137+150+144+149+x}{5} =141

x=125

Therefore, the man is shorter than 141 centimeters.

7 0
2 years ago
What is the midpoint M of that line segment?
topjm [15]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ T(\stackrel{x_1}{6}~,~\stackrel{y_1}{3})\qquad U(\stackrel{x_2}{6}~,~\stackrel{y_2}{9}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+6}{2}~~,~~\cfrac{9+3}{2} \right)\implies \left( \cfrac{12}{2}~~,~~\cfrac{12}{2} \right)\implies \stackrel{M}{(6,6)}

3 0
3 years ago
You deposit $3000 into a bank account that pays 1.25% annual interest, compounded semi-annually. What is the final balance after
mojhsa [17]

Answer:

$3,153.32

Step-by-step explanation:

Given that

The deposited amount is $3,000

The annual interest rate is 1.25%

So, the semi-annual interest rate is 1.25% ÷2  = 0.625%

And, the time period = 4 × 2 = 8

We need to find out the final balance

So,

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= $3,000 × (1 + 0.625%)^8

= $3,153.32

8 0
3 years ago
Other questions:
  • How do you find the probability? give me details please and answer my question step by step.
    5·1 answer
  • Mrs.fan wrote 5 tenths minus 3 hundredths on the board. Michael said the answer is 2 tenths because 5 minus 3 is 2. Is he correc
    10·1 answer
  • A refrigerator contains 11 drinks 5 lemons drinks 3 apple drinks and 3 orange drinks. Abby is first in the line for drinks. Tell
    14·1 answer
  • Express 14/6 as a mixed number in simplest form
    14·2 answers
  • A line has slope 2/3 and y–intercept −2 which answer is the equation of the line?
    9·1 answer
  • How many unique ways are there to arrange the letters in the word FANCY?
    11·2 answers
  • Plz help due today tip and sales tax’s
    14·1 answer
  • Plssssssssssssssssss helpppppppppppppppppppppppppppppppppppppppppppppppppp
    13·2 answers
  • If diameter of a circle is 28 cm,then the circumference of the circle is equal to​
    6·2 answers
  • The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!