Five less than one third of a number n is smaller than the quotient of the number n and two.

Answer:

The interest earned in 9 months is $25.45284

Step-by-step explanation:

The interest rate given by the bank = 4%

The rate at which the interest is applied = Quarterly

The amount of money deposited = $840

The formula for compound interest is given as follows;

[tex]Compound \ interest = P \times \left [ \left(1 + \dfrac{r}{n} \right )^{t \times n} - 1\right ][/tex]

Where;

P = The principal = $840

r = The rate = 4% = 0.04

n = The number of times the interest is compounded per period  = quarterly = 4

t = The time duration in period = 9 months = 3/4 × 1 year

Substituting the values gives the Compound interest C.I. as follows;

[tex]C.I. = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{\dfrac{3}{4} \times 3} - 1\right ] = 840 \times \left [ \left(1 + \dfrac{0.04}{4} \right )^{ 3} - 1\right ] = \$ 25.45284[/tex]

The interest earned in 9 months = $25.45284.

Answer:

Hebrew National since the cost is only 0.73

Step-by-step explanation:

First we need to identify the cost of each hotdog for each brand. I'll go by in order.

Ball Park:

We know that it cost $6.95 and it's 8 dogs for each one. Meaning all we have to do is divide the price by the amount of hot dogs.

"Price/Hotdogs per package"

In order

6.95/8=0.86875 or 0.87

8.20/10=0.82

7.35/8=0.91875 or 0.92

17.50/24=0.7291666 or 0.73

Since we're dealing with currency we would most likely round it by the nearest hundredth so the true answer would be $0.87.

Use this formula that I made for this question for any other questions.

Answer:

shhshshshs

hshdhsnsnjsjdje

Step-by-step explanation:

bshsjsnsjjsusjsjsjs

Answer:

Real numbers are not closed under cube root

Step-by-step explanation:

The cube of each real number is increasing as the real numbers increases, giving a functional or one to one relationship. Therefore, the cube roots of real number have also a one to one relationship.

Given that a cube root of a number, ∛x = y therefore, y³ = x, we have that all real numbers, excluding zero, have one cube root, and two complex and conjugate roots

For the real number, 8, we have the cube roots given as follows;

∛8 = 2

Also, ∛8 = -1 + √3i and -1 - √3i

Given that not all cube roots of 8 are real numbers we have that real numbers are not closed under cube root.

Answer: I did quick math and I got 9m^2pq√6

Hope this helps a bit

Answer:

yes you plug the numbers in

Answer:

the answer is C

Answer:

C)  y = 10/3x - 5

Step-by-step explanation:

Slope intercept equation is y = mx + b:

    m is the slope

    b is y-intercept

When you read slope you can also read it as rise over run. Rise is move up or down on the y axis depending if number is negative or positive. Run is move left or right on x axis depending if number is negative or positive.

Example: y = [tex]\frac{10}{3} x - 5[/tex]

Start at the y-intercept which is -5. On graph you can see the line crosses the y axis at (0, -5). From this point rise 10 then run 3 you'll end up at point (3, 5). Connect the dots of the two points and you'll see a line like the one in the problem.

Answer:

2k⋅(3k−7)⋅(k+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((6 • (k3)) +  (2•5k2)) -  56k

STEP

2

:

Equation at the end of step

2

:

 ((2•3k3) +  (2•5k2)) -  56k

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  6k3 + 10k2 - 56k  =   2k • (3k2 + 5k - 28)

Trying to factor by splitting the middle term

4.2     Factoring  3k2 + 5k - 28

The first term is,  3k2  its coefficient is  3 .

The middle term is,  +5k  its coefficient is  5 .

The last term, "the constant", is  -28

Step-1 : Multiply the coefficient of the first term by the constant   3 • -28 = -84

Step-2 : Find two factors of  -84  whose sum equals the coefficient of the middle term, which is   5 .

     -84    +    1    =    -83

     -42    +    2    =    -40

     -28    +    3    =    -25

     -21    +    4    =    -17

     -14    +    6    =    -8

     -12    +    7    =    -5

     -7    +    12    =    5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -7  and  12

                    3k2 - 7k + 12k - 28

Step-4 : Add up the first 2 terms, pulling out like factors :

                   k • (3k-7)

             Add up the last 2 terms, pulling out common factors :

                   4 • (3k-7)

Step-5 : Add up the four terms of step 4 :

                   (k+4)  •  (3k-7)

            Which is the desired factorization

Final result :

 2k • (3k - 7) • (k + 4)

Answer: 3924.25

Step-by-step explanation:

0.0150x1000=15

0.0300x2000=60

0.0450x2000=90

0.0500x938520=46926

Add the numbers

47091÷12=3924.25

Additional work:

955520-12000=943520-1000=942520-2000=940520-2000=938520

His monthly paycheck for state income tax is $19,906.65.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For exmaple, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Annual Gross pay = 955520

He is married with 4 dependents.

So, every month he earn

= 955520/12

= 79,626.6

and, Also have 4 dependents

= 79,626.6 /4

= 19,906.65

Hence,  his monthly paycheck for state income tax is $19,906.65.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

1.5

Step-by-step explanation:

Lmk if i need to explain!

Answer:

[tex]y=-\frac{2}{5}x-3[/tex]

Step-by-step explanation:

First, you must find the midpoint of the segment, the formula for which is [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]. This gives you (-5,-1) as the midpoint. This is the point at which the segment will be bisected.

Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex], which gives us a slope of [tex]\frac{5}{2}[/tex].

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of [tex]\frac{5}{2}[/tex] is [tex]-\frac{2}{5}[/tex].

We now know that the perpendicular travels through the point (-5,-1) and has a slope of [tex]-\frac{2}{5}[/tex].

Solve for [tex]b[/tex] in [tex]y=mx+b[/tex].

[tex]y=mx+b\\-1=-\frac{2}{5}(-5)+b\\-1=2+b\\-3=b\\b=-3[/tex]

Therefore, the equation of the perpendicular bisector is  [tex]y=-\frac{2}{5}x-3[/tex].

Answer:

She's right, praise jeebus :3

Step-by-step explanation:

Answer:

The answer is b= 7/2

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

4b-4+4=10+4

4b=14

4b/4 =14/4

B=7/2

Answer:

264 out of 480

Step-by-step explanation:

Answer:

170 cm is the tallest

Answer:

with what?

Step-by-step explanation:

Answer:

cool

Step-by-step explanation:

is this a question?

Answer:

venti is the best option bc who wants a small and grade is good too but you can get a large for a few cents more so venti is the way to go

The grande and venti sizes are a better value A tall beverage is 12 ounces, whereas a grande drink is 16 ounces and a venti drink is 24 ounces for cold drinks and 20 ounces for hot.

According to what I heard :3

Hope This Helped! May I have Brainliest? <3

Answer:

It is 42=x

Step-by-step explanation:

bruh

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

[tex] \longrightarrow [/tex] l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

[tex] \rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft[/tex]

[tex] \therefore [/tex] Width of the rectangle (w) = 12 ft

Answer:

c

Step-by-step explanation:

10+12=22

=22^2

=484

Answer:

I believe the answer is C or D.

Step-by-step explanation:

Answer:

C. 2 and 5

Step-by-step explanation:

Answer:

What grade work is it? I don't really know what it says. Sorry, please can you type it out?

Step-by-step explanation:

Answer:

X is well i do not know but for the other person it says 3 times x = 8/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Distance covered by the bird = 400km

Time taken = 8 hours

Using the formula;

Speed = Distance/Time

S = d/t

Find the speed first:

S = 400km/8hr

S = 50km/hr

Substitute back into the formula:

S = d/t

50 = d/t

50t = d

d = 50t

This means that the distance d is directly proportional to the time with 50 as the constant of proportionality.

Hence the constant of proportionality for the relationship between distance in kilometers is 50.

The question is incomplete. Here is the complete question.

Malcolm and Theo's families are both traveling to the same vacation resort. The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.

The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

How much faster did Malcolm's family travel than Theo's family?

a) 10 miles per hour

b) 15 miles per hour

c) 30 miles per hour

d) 65 miles per hour

Answer: b) 15 miles per hour

Step-by-step explanation: Speed is given by the change in distance per change in time or:

[tex]v=\frac{\Delta x}{\Delta t}[/tex]

For Theo's family, the graph shows the change in miles is constant in hours, so, the speed they are traveling is

[tex]v_{T}=\frac{200-0}{4-0}[/tex]

[tex]v_{T}=\frac{200}{4}[/tex]

[tex]v_{T}=[/tex] 50 mph

For Malcolm's family:

At t = 0: d = 65*0 = 0

At t = 4: d = 65*4

Then, Speed is:

[tex]v_{M}=\frac{65*4-0}{4-0}[/tex]

[tex]v_{M}=\frac{65.4}{4}[/tex]

[tex]v_{M}=[/tex] 65 mph

Theo travels at 50 mph and Malcolm at 65 mph, therefore, Malcolm is 15 miles per hour faster than Theo