PLEASE HELP!
Heather invest $3377 in a retirement account with a fixed annual interest rate of 8% compounded two times per year .how long will it take for the countdowns to reach $14,989.87?
round to the nearest whole year.

Answer:

You are reading 1 1/4 page/minute.

Step-by-step explanation:

Answer:

Exact Form:

77/ 3

Decimal Form:

25.6

Mixed Number Form:

25  2/3

Step-by-step explanation:

the thing is 11/3 times 3 4/1

Answer:

what do you need help with?

Step-by-step explanation:

Step-by-step explanation:

We have,

[tex]\displaystyle\sf{\,^{n}C_{n-1}+\,^{n}C_{n-2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-(n-1))!}+\dfrac{n!}{(n-2)!(n-(n-2))!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(n-n+1)!}+\dfrac{n!}{(n-2)!(n-n+2)!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n!}{(n-1)!(1)!}+\dfrac{n!}{(n-2)!(2)!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n(n-1)!}{(n-1)!(1)!}+\dfrac{n(n-1)(n-2)!}{(n-2)!(2)!}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n}{1}+\dfrac{n(n-1)}{2}}[/tex]

[tex]\displaystyle\sf{=n+\dfrac{n^2-n}{2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{2n+n^2-n}{2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n^2+n}{2}}[/tex]

[tex]\displaystyle\sf{=\dfrac{n(n+1)}{2}}[/tex]

Using the combination formula, it is found that the value of the expression is given by:

(b) n(n + 1)/2

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem:

[tex]C_{n, n-1} = \frac{n!}{(n-1)!(n - n + 1)!} = \frac{n(n-1)!}{(n-1)!} = n[/tex]

[tex]C_{n, n-2} = \frac{n!}{(n-2)!(n - n + 2)!} = \frac{n(n-1)(n-2)!}{(n-2)!2!} = \frac{n(n-1)}{2}[/tex]

Then, adding these values:

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

Hence option b is correct.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

[tex] \frac{1}{x} + \frac{2}{x} + 10 = \frac{1}{3} ) \times3 x \\ 3 + 6 +30x = x \\ 30x - x = - 9 \\ 29x = - 9 \\ x = - \frac{9}{29} [/tex]

Answer:

i have the second part!

Step-by-step explanation:

the equation will have 2 valid solutions

Answer:

JNM=42

Step-by-step explanation:

JNM is equal to LNK so you can set the equations equal to each other.

7x-21=4x+6, subtract 4x from both sides

3x-21=6, add 21 to both sides

3x=27, divide by 3

x=9, then you plug it into an equation

4 times 9 + 6

36+6

42

<JNM = [tex]42[/tex] degrees.

The angle made by two ground lines is measured horizontally , and is called a horizontal angle.

According to the question

Line J L and line M K slightly inclined with horizontal intersects at N.

<JNM = <LNK

[tex]4x + 6 = 7x - 21[/tex]

Subtract 4x from both sides

[tex]6 = 3x -21[/tex]

[tex]3x=27[/tex]

Divide by 3

[tex]x=\frac{27}{3}[/tex]

[tex]x =9[/tex]

<JNM = [tex]4x+6[/tex]

<JNM = [tex]4(9)+6[/tex]

<JNM = [tex]42[/tex] degrees

Find out more information about horizontal angle here

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Answer:

man, thanks alot really helped me I was struggling with this one. Couldnt find any answers

Step-by-step explanation:

Answer:

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

So 3^3x = 3^(2-x)

Comparing powers on both sides,

3x = 2 - x

So, 4x = 2

So, x = 1/2

Given ( 27 ) ^ x = 9 / 3 ^x

⇒ ( 3 × 3 × 3 )^x = ( 3 × 3 ) / 3^x

⇒ ( 3 ³ )^x = 3² / 3^x

⇒  3 ^ 3x × 3^x = 3²            [ since  ( a ^m)^n = a ^mn ]

⇒ 3^ (3x +x) = 3²                [ since a^m × a^n = a ^m+n ]

⇒ 3^4x = 3²

⇒4x = 2                      [ since  If a ^m = a ^n then m = n ]

⇒ x = 2 / 4

 ∴ x = 1 / 2

I hope this helps you.

Answer:

1800

Step-by-step explanation:

Answer:

304

Step-by-step explanation:

2100÷7=300

300+interest=300+4

=304

Answer:

I think it's 27

Step-by-step explanation:

because if she picked 2/5 of the flowers if u divide 18 by 2 u get 9 so that's 1/5 I think and then if u times that by 3 u get 27 and like that's the 3/5

Answer:

x=9

Step-by-step explanation:

1. Combine like terms

2. Add 6 to both sides

3. Simplify

Answer:

C.

Step-by-step explanation:

She needs 160 for a free ticket and get 85 for signing up.

Every time she goes, she get 12.5 points

160=85+12.5v

The answer would be C

Reason:

We eliminate B and D as they do not have a total of 160 points.

We are now left with A and C

A shows that she would need to earn 85 points three times which is incorrect as she receives 85 points 1 time after signing up. Therefore we eliminate A.

We are now left with C

C shows that the total amount of points she would need to earn a free ticket are 160 points.

It also shows that she would receive 85 points 1 time after signing up.

It also shows that the remaining points she would get are from strictly visiting the movie theater.

C is your answer

Answer:

A slope of -1

Step-by-step explanation:

use the slope formula

Answer:

y-0.22%=x+0.06%

Step-by-step explanation:

Answer:

The thing is I don't know if like is will put fractions or decimals so I guess try both if u can if not I would go for decimals first because that is more probable.

Midpoint of some points

AB midpoint = -1,1.5

BC midpoint = -2.5,2

CA midpoint = -2.5,1.5

Midpoint of DE = -3,0

Midpoint of FG = 3,-1

Sorry that it took some time

Answer:

d 2.5

Step-by-step explanation:

|-2|-1/-2

2+1/2

2.5

Answer:

yes

Step-by-step explanation:

because 6X8=48 and 48 dived by 3 equals 16

Arrays are dataset that are represented in rows and columns. Rosa's claim is correct.

An array is a linear data structure that collects elements of the same data type and stores them in contiguous and adjacent memory locations.

From the question, we have:

6 rows and 8 columns

The number (n) of elements in the array is: n = Rows × Columns.

So, we have: n = 6 × 8 =48

Express as sum of three numbers, that is n=12+16+20

Express each term as a product, that is n=2 × 6 + 4 × 4 + 4 × 5

The above expression means that, the array can be split to:

An array of 2 by 6

An array of 4 by 4

An array of 5 by 4

Hence, Rosa is correct.

Read more about arrays at:

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Answer:

A

Step-by-step explanation:

vertex = (-4, -4)

vertex form:

y = a(x-h)^2 + k

__________

y = (x- (-4))^2 + (-4)

y = (x+4)^2 -4

y = (x+4)(x+4) - 4

y = x^2 + 8x + 16 - 4

y = x^2 + 8x  + 12

answer: A

Answer:

son: 12 daniel: 32

Step-by-step explanation:

daniel is 26 in 6 years he would be 32

son is 3x younger in 6 years so 32 divided by 3 would be 10.6 (11 if estimated)

Answer:

b

Step-by-step explanation:

Total hours for biweek or 2 weeks

Hourly pay=$18.25

Total home pay

Atleast $255 per week you can easily acquire 1000 also by toil

Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

Note that 1 gallon = 16 cups

Since Emma has half of 1-gallon bottle of white school glue, this means that she has 1/2 × 16 = 8 cups

Since Emma uses 3/4 cup of white school glue for each batch, therefore the number of batches that van be made with 8 cups will be:

= 8 ÷ 3/4

= 8 × 4/3

= 10 2/3

Therefore, Emma will not have enough glue since she'll have 10 2/3 rather than 11 batches.

Read related link on:

https://brainly.com/question/24963824

Answer:

x = 32

y = -20 and

z = -4

Step-by-step explanation:

Cupcakes = X

Brownies = Y

Pies = Z

Ethan = 2x+2y+z = 20

Caleb = 4x+4y+z = 44

Jayden = 5x+6y = 40

-1(2x+2y+z=20) =

(-2x - 2y - z = -40) + (4x+4y+z=44)

= 5x + 6y = 40

-3(2x+2y=24 =

(-6 - 6y = -72) + (5x + 6y = 40)

= - x = - 32

= x = 32

5 (32) + 6y = 40

= 160 + 6y = 40

6y = 40 - 160

y = 120/6

y = - 20

2(32) + 2(-20) + z = 20

64 - 40 + z = 20

z = 20 - 24

z = -4

Answer:

5 pounds

Step-by-step explanation:

2=76

76/2=38

38x5=190

5 pounds because it takes one pound to make 38 cookies

Answer:

[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]

Step-by-step explanation:

7/1 − 3( 7/3n − 7/2 )

Anything divided by one gives itself.

7 - 3 ( [tex]\frac{7}{3}n - \frac{7}{2}[/tex])

Use the distributive property to multiply −3 by  [tex]\frac{7}{3}n - \frac{7}{2}[/tex])

7 - 3 × ([tex]\frac{7}{3}[/tex][tex]n[/tex] - 3 (-[tex]\frac{7}{2}[/tex])

Multiply −3 times [tex]\frac{7}{3}[/tex]

7 - 7n - 3 (-[tex]\frac{7}{2}[/tex])

Express -3 (-[tex]\frac{7}{2}[/tex]) as a single fraction.

7 - 7n + [tex]\frac{-3(-7)}{2}[/tex]

Multiply −3 and −7 to get 21.

7 - 7n + [tex]\frac{21}{2}[/tex]

Convert 7 to fraction [tex]\frac{14}{2}[/tex]

[tex]\frac{14}{2}[/tex] - 7n +  [tex]\frac{21}{2}[/tex]

Since [tex]\frac{14}{2}[/tex] and [tex]\frac{21}{2}[/tex] have the same denominator, add them by adding their numerators.

[tex]\frac{14 + 21}{2} - 7n[/tex]

Add 14 and 21 to get 35.

[tex]\frac{35}{2} - 7n[/tex]

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

Further given that,

It means

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Perimeter_{[square]} \: = \: 4 \times side \: }}}[/tex]

So, using this, we have

[tex]\rm :\longmapsto\:4x + 4y = 52[/tex]

[tex]\rm :\longmapsto\:4(x + y) = 52[/tex]

[tex]\rm\implies \:\boxed{\tt{ x + y = 13}} - - - - (1)[/tex]

Now, Further given that,

If square EFGH is cutting out from square ABCD, the area of remaining part is 91 square cm.

It means

[tex]\rm :\longmapsto\:Area_{[ABCD]} - Area_{[EFGH]} = 91[/tex]

We know,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ Area_{[square]} = 4 \times side}}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{2} - {y}^{2} = 91[/tex]

can be further rewritten as using algebraic Identity,

[tex]\rm :\longmapsto\:(x + y)(x - y) = 91[/tex]

[tex]\rm :\longmapsto\:13(x - y) = 91[/tex]

[tex]\red{ \bigg\{  \sf \: \because \: using \: equation \: (1) \bigg\}}[/tex]

[tex]\rm\implies \:\boxed{\tt{ x - y = 7}} - - - - (2)[/tex]

On adding equation (1) and (2), we get

[tex]\rm :\longmapsto\:2x = 13 + 7[/tex]

[tex]\rm :\longmapsto\:2x = 20[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: x \: = \: 10 \:cm \: \: }[/tex]

On substituting the value of x in equation (1), we have

[tex]\rm :\longmapsto\:10 + y = 13[/tex]

[tex]\rm :\longmapsto\:y = 13 - 10[/tex]

[tex]\rm\implies \:\boxed{ \: \bf \: \: y \: = \: 3 \:cm \: \: }[/tex]

So,

[tex]\rm\implies \:\boxed{Side_{[square \: EFGH]} = y \: = 3 \: cm}[/tex]

and

[tex]\rm\implies \:\boxed{Side_{[square \: ABCD]} = x \: = 10 \: cm}[/tex]

Also,

[tex]\rm :\longmapsto\:\boxed{Area_{[square \: ABCD]} = {10}^{2} = 100 \: {cm}^{2} }[/tex]

[tex]\rm :\longmapsto\:\boxed{Area_{[squareEFGH] }\: = {3}^{2} = 9 \: {cm}^{2} }[/tex]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex]\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}[/tex]

Answer:

y coordinate: 8

Step-by-step explanation:

middle of the two areas have the y as 8