Answers
Answer:
S₁₂ = - 654
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 14 - (- 5) = - 23 - (- 14) = - 32 - (- 23) = - 9
this indicates the series is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = - 5 and d = - 9 , then
S₁₂ = [tex]\frac{12}{2}[/tex] [ (2 × - 5) + (11 × - 9) ]
= 6(- 10 - 99 )
= 6 × - 109
= - 654
Related Questions
express 4x-1= 3 as a linear equation in two variables
Answers
Hello there!
~I hope you and your family are staying safe and healthy!
[tex]4x - 1 = 3[/tex]
We need to start by saying that y = 3
[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]
Thus, the equation above is in the two variable form where y = 3
Thus, the required equation is [tex]4x - y = 1[/tex]
Let me know if you have additional questions!
~Garebear
3a + b = 225
b = a - 15
A.) 3a + b = a -15
B.) 3a + a = 225
C.) 3a + a - 15 = 225
D.) b = 3a + b
Answers
Answer:
c
Step-by-step explanation:
Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.
Answers
Step-by-step explanation:
tsa= total surface area
csa=curved surface area
answer is in the picture
What is the area of this?
Answers
Answer:
Step-by-step explanation:
[tex]A=\frac{hb}{2}\\ \\ A=\frac{14(20)}{2}\\ \\ A=140ft^2[/tex]
Answer:
150 ft
Step-by-step explanation:
You use Pythagoras theorem to work out the base of the triangle.
<3
What is the value of x?
Answers
Answer:
jhg hstu35kk4t6ek
3tnk63e6oktelrt
Step-by-step explanation:
4n5kdti3eo5
How far is the star away from
the earth in AU?
Answers
Answer:
6623 AU
Step-by-step explanation:
I assume the angle measure 0.000302 is in radians.
Draw a segment from the Sun to the Star.
Use the upper small triangle.
The angle at the Star measures 0.000151 radians.
The opposite leg measures 1 AU.
We need the hypotenuse which is the distance from the Star to Earth.
sin A = opp/hyp
sin 0.000151 rad = 1/x
x sin 0.000151 rad = 1
x = 1/(sin 0.000151 rad)
x = 6623
Answer: 6623 AU
Seven subtracted from a number is -18
Answers
Answer:
-11
Step-by-step explanation:
Just add 7 to -18
-18 + 7 = -11
Hope this helped :)
(If you want to check, just do -11 - 7)
HELP ME PLEASE!!!!ITS DUE TODAY!!
Answers
80-20=60
60 peaches
Answer:
Step-by-step explanation:
Determine a quadratic equation in standard form that has each pair of roots.
X=5±√2/3
Answers
Step-by-step explanation:
you have to add 5 and 2 which is 7 and decide by 3 or estimate
Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Answers
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks, and it will cost an additional $250 for each ton of sugar
transported
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 14 tons of sugar.
Answers
Answer:
$10000 Total cost to transport 14 tons
Step-by-step explanation:
The total cost C(S) = $6500 + ($250/ton)S. This is a linear function with initial value $6500 and slope $250/ton.
C(14) = $6500 + ($250/ton)(14) = $10000 = Total cost to transport 14 tons
Answer:
hello! the answer is below!
Step-by-step explanation:
Let's write the equation.
6500 + 250s = c
Now put in our value for s.
6500 + 250 · 19 = 4750
The answers are
6500 + 250s = c
And
4750
Hope this helps! :)
Paul will pay for his new car in 36 monthly payments. If his car loan is for $20,538 then how much will Paul pay each month?
Answers
Answer:
570.50
Step-by-step explanation:
I think it's the correct answer maybe it is maybe it's not
Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.
This means that Paul will be paying $570.50 every month till the completion of 36 months.
The given parameters for the calculation of the monthly installment:
Loan amount= $20,538 Total months to repay the loan= 36 monthsCalculation of the monthly amount of Paul's loan:
[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]
[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]
[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]
Therefore, the monthly installment of paul will be $57.50.
To know more about the calculation of installment, refer to the link below:
https://brainly.com/question/84351
A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?
Answers
Answer:
43 degrees
Step-by-step explanation:
every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so
90+47 = 137 now we can take 180 - 137 = 43
so your third angle is 43
hope I helped!!
9 2/3 - 4 1/5. ====???
Answers
Answer:
Step-by-step explanation:
5.46666666667
Answer:
5 7/15
Step-by-step explanation:
9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15
Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?
Answers
can someone pls help me
write 3lgx + 2-lgy as a single logarithm
Answers
Answer:
log(x^3*y^(-2))
Step-by-step explanation:
two log rules you need to know for this question:
alogb = log(a^b)
logx + logy = logxy
you can start by getting rid of the term in front of the log, or a
also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely
log (x^3) + log (y^-2) = log (x^3*y^-2)
On a map, 90 miles is represented by 3 inches. A measure of inch on the map would represent miles.
Answers
Complete Question
On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.
Answer:
15 miles
Step-by-step explanation:
From the above question,
3 inches = 90 miles
1/2 inch = x miles
Cross Multiply
3 inches × x miles = 90 miles × 1/2 inch
x miles = 90 miles × 1/2 inch/3 inches
x miles = 15 miles
Therefore, a measure of 1/2 inch on the map would represent 15 miles
Someone please let me know the answer
Answers
Answer:
The answer is 30°
Step-by-step explanation:
[tex]when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30[/tex]
True or False Exponential Growth occurs when the same number is added to
the consecutive output values.
Answers
Answer:
False
Step-by-step explanation:
Because you're not supposed to add to the output values, you need to multiply the output values.
it’s false
Which of the following best describes the equation below?
y = -5x + 12
A.
nonlinear
B.
linear
C.
both linear and nonlinear
o
D.
neither linear nor nonlinear
Answers
Answer:
B. linear equation
Step-by-step explanation:
How can you tell that whether the equation is linear or nonlinear?
Using an Equation
Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.
y = -5x + 12 has no exponents that's why it is a linear equation.
Hope this helps:)
Other equipment totaled 33000. You earn a commission of 20% on every sale you make. If you put 35% of your earnings on this particular sale into a savings account what is the amount invested
Answers
9514 1404 393
Answer:
2310
Step-by-step explanation:
Assuming "this particular sale" totals 33000 in its entirety, the commission is ...
20% × 33000 = 6600
The amount of that going to the savings account is ...
35% × 6600 = 2310
The amount invested is 2310.
plato de Leonardo tiene 0.2 kg de arroz y el de su hermana Leticia tiene 0.3 kg si quieren que los dos tengan lo mismo y los juntan para después repartirse los en partes iguales cuánto tendrá cada plato
Answers
Answer:
0.5 kg
Step-by-step explanation:
Having trouble solving this:
Answers
Answer:
1/250
Step-by-step explanation:
0.4% in fraction form is 0.004
or 4/1000
4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)
Find the 11th term of the geometric sequence 10,-40,160, ...
Answers
Answer: The 11th term is 6144
Step-by-step explanation: luv ya boo thang
Help please! Thank youuuuuuuuu
Answers
Answer:
3 3/5 meters (B)
Step-by-step explanation:
Since this is perimeter, you must find the "outside".
The top side: 1/4 * 4 = 1
Left side: 1/5 * 4 = 4/5
Bottom: 1
Right side: 4/5
Add them up!
1 + 1 + 4/5 + 4/5
2 8/5
3 3/5
B!
Write an equation in slope intercept form. m=6, b=-8
Answers
Answer:
y=6x-8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Please help due today in 10 minutes
Answers
Answer:
I can't help it's past due date. sorry
Step-by-step explanation:
I need the answer, ASAP.
Answers
Answer:
See below.
Step-by-step explanation:
It is similar because the order of operations is the same for fractions and for whole numbers.
It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.
Joe lost 4 kg and now weighs 60 kg. What percentage of his original weight did he lose?
Answers
Answer:
60-4 is 56
and 56 by 100
Step-by-step explanation:
The percentage of his original weight did he lose is 56%.
Given that,
Joe lost 4 kg and now weighs 60 kg.Calculation:[tex]= ( 60 - 4) \div 100[/tex]
= 56%
learn more about the percentage here: https://brainly.com/question/16616666
In a survey conducted on 200 people, it was found that 105 of them prefer coffee, 50 prefer
tea and the remaining prefer both. Find the fraction of people who prefer both tea and coffee.
Answers
Given:
Total number of people = 200
People who prefer coffee = 105
People who prefer tea = 50
The remaining prefer both.
To find:
The fraction of people who prefer both tea and coffee.
Solution:
The number of remaining people who prefer both tea and coffee is
Remaining people = Total number of people - People who prefer coffee - People who prefer tea
Remaining people = 200 - 105 - 50
= 45
Now, the fraction of people who prefer both tea and coffee is
[tex]\text{Required fraction}=\dfrac{\text{Remaining people}}{\text{Total number of people}}[/tex]
[tex]\text{Required fraction}=\dfrac{45}{200}[/tex]
[tex]\text{Required fraction}=\dfrac{9}{40}[/tex]
Therefore, [tex]\dfrac{9}{40}[/tex] of people prefer both tea and coffee.