Find the sum of the first 36 terms of the following series, to the nearest integer. 9, 12,15,...

Answer:

3x+88+x+36+2x-10=180 (being straight line)

6x+114=180

6x=180-114

x=66/6

x=11

Step-by-step explanation:

Answer:

this question is very simple

we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

.... please mark as brainliest

Answer: your answer should be 103

Answer:

Circumference is equal 6 pi and area is equal 9pi

Step-by-step explanation:

Answer:

6390.56

Step-by-step explanation:

[tex]AV=PV(1+\frac{i}{n})^{nt}\\10000=x(1+\frac{.065}{2})^{7*2}\\10000=1.564807232*x\\6390.53=x[/tex]

9514 1404 393

Answer:

  $6490.57

Step-by-step explanation:

The future value is given by the compound interest formula ...

  A = P(1 +r/n)^(nt)

Principal P earns annual rate r compounded n times per year for t years.

Filling in the given values, we have ...

  10000 = P(1 +0.065/2)^(2·7) = P(1.0325^14)

  P = 10000/1.0325^14 ≈ 6390.5635

You would need to deposit $6390.57 into the account to have $10,000 in 7 years.

_____

Additional comment

Using the rounded-down result of the computation will result in a value after 7 years of $9,999.99, not quite $10,000. Rounding the computed value up to $6390.57 ensures the account balance will actually be $10,000.00 after 7 years.

If the balance is rounded to the nearest penny each time interest is added, then the balance after 7 years will be exactly $10,000.00. If there is no intermediate rounding, the resulting balance will be $10,000.01.

Most of the time, the answer key doesn't pay attention to details like this. Your expected answer may be $6390.56, or $6391 if rounded to dollars.

Answer:

Option B

Step-by-step explanation:

Expression representing the series is,

[tex]\sum_{k=6}^{11}(2k+5)[/tex]

Here, k = Number of terms

By placing k = 6, 7, 8, 9, 10, 11 in the expression we can get the terms of the series.

For k = 6,

(2k + 5) = 2(6) + 5

            = 17

For k = 7,

(2k + 5) = 2(7) + 5

             = 19

For k = 8,

(2k + 5) = 2(8) + 5

            = 21

For k = 9,

(2k + 5) = 2(9) + 5

            = 23

For k = 10,

0(2k + 5) = 2(10) + 5

            = 25

For k = 11,

(2k + 5) = 2(11) + 5

            = 27

Therefore, expanded form will be,

17, 19, 21, 23, 25, 27

There, is a common difference in each successive to previous term,

d = 19 - 17

d = 2

Number of terms 'n' = 6

First term = 17

Sum of an arithmetic sequence is given by,

[tex]S=\frac{n}{2}[2a+(n-1)d][/tex]

Therefore, sum of the given sequence will be,

[tex]S=\frac{6}{2}[2(17)+(6-1)2][/tex]

   = 3(34 + 10)

S = 132

Option B will be the correct option.

Answer:

profit%=35%

Let cp be x

profit =$280

To find cost price of a refrigerator use formula

profit%=profit/cost price *100

35%=$280/x*100

35%=$28000/x

35*x=$28000

x=$28000/35

x=$800

now to find the selling price of a refrigerator use formula

selling price=cost price +profit

=$800+$280

=$1080

Step-by-step explanation:

therefore the cost price of a refrigerator is $800 and selling price is $1080

Answer:

[tex]Pr = \frac{1}{15}[/tex]

Step-by-step explanation:

Given

See attachment for sample space

Required

[tex]P(1\ Y\ and\ 1\ P)[/tex]

From the attached sample space, we have:

[tex]n(S) =30[/tex] ---- total outcomes

[tex]n(PY) = 2[/tex] --- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)

So, the required probability is:

[tex]Pr = \frac{n(PY)}{n(S)}[/tex]

[tex]Pr = \frac{2}{30}[/tex]

[tex]Pr = \frac{1}{15}[/tex]

The error is that; Carlos omitted the numerator

Answer: a^3 · a^2 ≠ a^6 as the laws of exponents states that the multiplication rule for two exponents with the same bases equates to addition, so that a^3 · a^2 = a^3+2 = a^5.

Answer:

done

Step-by-step explanation:

Answer:

5/10k - 3/5

Step-by-step explanation:

by fraction we know about LCM

2/5k + 1/10k - 3/5

5/10k-3/5

Step-by-step explanation:

answer: 3/4 or 0.75

=5 1/4 - 4 1/2

=21/4 - 9/2

= (21-9) / 4

=3/4  or 0.75

Answer:

[tex]D) y=-\frac{2}{3}x+ 2[/tex]

Step-by-step explanation:

[tex]Equation ~ of ~ the ~ line~ is ~ y=mx+b\\\\m= slope\\\\b=y-intercept[/tex]

[tex]to ~find ~ the ~ slope~ use ~ formula:-\\\\ slope=\frac{y_{2}-yx_{1} }{x_{2} -x_{1} } \\(0,2)(3,0)[/tex]

[tex]slope=\frac{0-2}{3-0}[/tex]

[tex]y-intercept ~ is (0,2) ~ so, b=2[/tex]

[tex]The ~ equation ~ of ~ the ~ line~ is:- \\[/tex]

[tex]y=-\frac{2}{3}x+2[/tex]

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

hope it helps...

have a great day!!

Answer:

90 seconds

Step-by-step explanation:

To find the time it takes to take a certain amount of steps, divide the given rate by the time.

3/2 = 1.5

This means she takes 1.5 steps every second. Now, we can multiply this rate by 60 to find how far she will go in that time.

1.5 · 60 = 90

Bethany takes 90 steps in 60 seconds.

I hope this helps ^^ Good luck

Answer:

A. An angle measuring 125°

Step-by-step explanation:

An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°

Then I'll definitely will ask you questions about maths :)

Please help me with my homework.

Here is the question. I hope you would help me, I really need answer asap. I need to pass it by 8:30. pls help me

Answer:

the answer would be a

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

just got it correct

Answer:

521,400 meters squared

Step-by-step explanation:

With the 1cm = 100m scale

6.6 cm = 660m

7.9 cm = 790m

Area = 660 x 790 = 521,400 meters squared

The surface area of the regular pyramid whose diagram is good one above would be = 102.9 in²

To calculate the surface area of a regular pyramid, the formula given below is used;

Surface area of pyramid = SA = A + 3(1/2bh) = A + 3/2bh,

Where A = area of triangle = ½bh

b = base = 5 in

h = slant height = 13. in

SA = ½× 2.5×4.3 + 3/2×5 ×13

= 5.375 + 97.5

= 102.9 in²

Learn more about area here:

https://brainly.com/question/28020161

#SPJ1

Answer:

See answers below

Step-by-step explanation:

Since both trinagles asre similar hence the ratio of the similar sides are equal.

From both triangles;

y + 7 = 3y - 7

y - 3y = -7-7

-2y = -14

y = 14/2

y = 7

FE = 3y - 17

FE = 3(7) - 17

FE = 21 - 17

FE = 4

AB = y'+7

AB = 7 + 7

AB = 14

Similarly

3x+20 = 5x - 80

3x -5x = -80-20

-2x = -100

x = 100/2

x = 50

<A = 3x + 20

<A = 3(50) + 20

<A = 150 + 20

<A = 170degrees

Hence x= 50 and y = 7

Step-by-step explanation:

basketball = 40 %

football = 30 %

baseball = 20 %

soccer = 10 %

Answer:

19,2049.12

Step-by-step explanation:

By

Answer:

2.263

Step-by-step explanation:

standard deviation of sample means = s/\sqrt{n}

Given

Standard deviation s = 16pounds

Sample size n = 50

Substituting

standard deviation of sample means = 16/\sqrt{50}

standard deviation of sample means = 16/7.071

standard deviation of sample means = 2.263

Hence the standard deviation of sample means taken from this population with a sample size of 50 is 2.263

Answer: 10 shirts

Step-by-step explanation: 8 shirts is $48, then 1 shirt is $6. $60 can buy 10 shirts.

Answer: 10

Step-by-step explanation:

48÷8 = 6

60÷6=10

Hope that helped! :)

Answer:

3/4 ib = 12 oz

Step-by-step explanation:

Answer:

B. 150

Step-by-step explanation:

1 meter = 100 centimeters

since there is 30 meters x 100 centimeters = 3000 centimeters

then divde by 20 centimeters since that is the cost to make 1 bow so

3000 / 20 = 150.

So 150 bows in total.

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

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

110x + 120y = 3520

110x +88y = 2970

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

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

Answer:

−21r

Step-by-step explanation:

=−r+−20r

=(−r+−20r)

=−21r

=−21r

hope this helps!! <3

Answer:

Center: (3, 5) Radius: 4

Step-by-step explanation:

x-3=0 or x=3

y-5=0 or y=5

Square root of the solution (16) is the radius

Answer:

4x + 2y = 8

: P( 0; 4) & Q( 2; 0)

Answer:

Its a Parallelogram

It has all four descriptions.