Byron opened a new bank account and immediately started depositing d dollars per week. He also withdrew w dollars per week to pay expenses. The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw . Which of the following is a factor of M?

A d - w

B n - w

d - n

D n - c

Answers

Answer 1

Answer: b i just took the test

Step-by-step explanation:

Answer 2

Option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that Byron opened a new bank account and immediately started depositing d dollars per week.

Byron also withdrew w dollars per week to pay expenses.

Byron also withdrew w dollars per week to pay expenses.

The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw .

M equal to n times of d minus n times of w.

We can factor out the common factor of n from the expression for M

M = nd - nw = n(d - w)

Therefore, n is a factor of M.

Hence, option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

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Related Questions

The function f(x) goes through the point (4, 7). What point will this translate to in the function f(x) = (x - 6) + 3?
a. (10,10)
b. (-2,4)
c. (10,4)
d. (-2,10)

Answers

Answer:

a. (10,10)

Step-by-step explanation:

This was by accident the first answer is right

Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.

What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.

Answers

Answer:

should be 15%

Step-by-step explanation:

formula is |85,000 - 100,690| ÷ 100,690 × 100

3,080 feet = ____ miles. Answer as a proper fraction or as a whole or mixed number

Answers

Answer: 3080/5280 or (simplified) 7/12

Explanation:
There are 5280 feet in one mile so 3080/5280 is equal to 3080 ft/ 1 mile.

7/12 is equal to 3080/5280 when simplified.
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4


To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4

b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.

Three and three quarters is fifteen quarters
Conversion a mixed number 2 2/
5
to a improper fraction: 2 2/5 = 2 2/
5
= 2 · 5 + 2/
5
= 10 + 2/
5
= 12/
5


To find a new numerator:
a) Multiply the whole number 2 by the denominator 5. Whole number 2 equally 2 * 5/
5
= 10/
5

b) Add the answer from previous step 10 to the numerator 2. New numerator is 10 + 2 = 12
c) Write a previous answer (new numerator 12) over the denominator 5.

Two and two fifths is twelve fifths
Multiple: 15/
4
* 12/
5
= 15 · 12/
4 · 5
= 180/
20
= 9 · 20/
1 · 20
= 9
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(180, 20) = 20. In the following intermediate step, cancel by a common factor of 20 gives 9/
1
.
In other words - fifteen quarters multiplied by twelve fifths = nine.

What is the equation of the line that passes through the point (2,-2) and has a slope of -1/2?

Answers

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (2, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

Answer:

y=-1/2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-2)

y+2=-1/2(x-2)

y=-1/2x+2/2-2

y=-1/2x+1-2

y=-1/2x-1

Multiply the fractions and reduce to lowest terms: 3/4 x 1/3​

Answers

Answer:

3/12 or 1/4

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

3/4 x 1/3​

=> 3/12

=> 1/4

Therefore, 1/4 is the answer.

Hoped this helped.

Find the exact value of the indicated trigonometric function of θ.
sin θ = [tex]\frac{1}{6}[/tex], sec θ < 0 Find cos θ and tan θ. ____________________

Answers

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

5x/2 - 3x/4 = 10 1/2
how to solve this? ​

Answers

[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]

[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]

[tex]10x - 3x = 42[/tex]

[tex]7x = 42[/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]

[tex]x = 6[/tex]

Type the correct answer in each box. Use numerals instead of words.

Answers

Step-by-step explanation:

A

let's bring everything on the right hand side back under the square root :

8² = 64

(x³)² = x⁶

so, we get

sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)

therefore, c = 7

B

similar to A let's bring everything on the right side under the cubic root :

4³ = 64

(x)³ = x³

cubic root(576x^d) = cubic root(64×9×x³×x²) =

= cubic root(576×x⁵)

therefore, d = 5

if z=3+i/3-i find the value of 1/z and z+1/z​

Answers

Ok done. Thank to me:>

A football team has a net yardage of −30 1 3 yards on a series of plays. The team needs a net yardage of 10 yards to get a first down. How many yards do they have to get on their next play to get a first down?

Answers

Answer:

36 yards

Step-by-step explanation:

10 yards needed minus 30 then add 1 and 3 and you have your answer

1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
balloon can be modeled by h(t) = -6t2 + 13t + 5, where h(t) is the balloon's height in feet and t is the time in seconds after the balloon is launched.
a. How long will it take for the balloon to splat on the ground?

Answers

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

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When you subtract a number, you get the same results as when you add the opposite number. Why?

Answers

Answer:

Step-by-step explanation:

Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.

So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.

I hope this helps!

A sports tournament has 6 teams. Each team has the same number of players. There are 60 players total. How many players does each team have?

Answers

Answer:

10

Step-by-step explanation:

because

60:6=10

every team has the same number of players

(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)

bdbdbdndnfkkfkflfllflfkchchdhbdbenrnrnrnnrndndndndnddhjdjs

Answer:

10

Step-by-step explanation:

no. of teams=6

no. of players=60

no. of players in each team=60/6=10

express the radical using the imaginary unit i

Answers

Answer:

27

Step-by-step explanation:

You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.

2x+2 yards
2x yards
2x+4 yards

1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)

Answers

The2nd one is the best one

there is a proportional relationship between x and y. complete the table with the missing values

Answers

Answer:

I think you forgot to attach the table

Y'all i need some help with this.

Answers

Answer:

Divide everything by 100.

Step-by-step explanation:

If you divide every number you want by 100, you get a decimal out of 100.

If the nominal interest rate is 4. 00% and the rate of inflation is 2. 25%, what is the real interest rate? 1. 75% 4. 50% 6. 25% 9. 0%.

Answers

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

Learn more about real interest rate here:https://brainly.com/question/6106690

–A – 22 = –2A – 30
pls

Answers

Answer:

A= -8

Step-by-step explanation:

-A - 22=-2A-30

+2A             +22

A         =   -8

more fr33 points for u amazing people, stream scientist by twice while ur at it!!!! :))

Answers

Answer:

ye

Step-by-step explanation:

aaaa thank you fellow kpop fan

4(3q + 10) = 6( 2q - 9 )

Answers

there is no solution
your answer would be: -94
Sorry if wrong

Need help asap!! :) 2. Solve for x.

Answers

Answer: x = 12
Ok done . Thank to me :>

Answer my question 4 u could get 10 points

Answers

Answer:

30

Step-by-step explanation:

Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.

What is the domain and range?

Answers

Answer:

Domain: {-6, -2, -1, 1, 3, 6}

Range: {-6, -2, -1, 0, 3}

Step-by-step explanation:

to find the domain of a function, you look at all the possible x-values. this means you look at all the points, and see what their x-values are.

for example, the first point on the left is at (-6, -1). this means that -6 is in the domain. continue doing this for all the points, and you get {-6, -2, -1, 1, 3, 6}

to find the range of a function, it's just like domain but with y-values.

for example, for the leftmost point, it's at (-6, -1) so -1 is part of the range. continuing this with all the points, you get {-6, -2, -1, 0, 3}

At a salad bar, the cost per ounce is
$
0.85
, and the container costs
$
0.25
. Which function represents the total cost of a salad weighing
w
ounces, and what is the total cost,
C
, of a salad weighing
8
ounces?

Answers

Answer:

0.85 × 9.412=8.0002 nearest so 0.25 × 9.421= 2.35525

Step-by-step explanation:

Please help asapppppp!!!!!

Answers

Answer:

x is 8.2 I think hold on

yeah I think

0.326
In word form and stranded form please help!!?! I am taking things that are from 4th grade ahh I can't even remember anything from then. please help me word form and stranded form.

Answers

Answer:

three hundred twenty six thousandths

Zero point three two six. Please give brainliest

Find the magnitude of the following vector: v=15i + 8j​

Answers

[tex]\text{Given that,}\\\\\vec{v} = 15 \hat{i} +8 \hat j\\\\ \\\text{Magnitude of the vector,}\\\\|\vec v| = \sqrt{15^2 +8^2}= \sqrt{289} = 17[/tex]

find three consecutive number whose sum shall equal 45

Answers

Answer:

14, 15, 16

Step-by-step explanation:

n + n+1  + n + 2 = 45

3n + 3 = 45

3n = 42

n = 14

14, 15, 16

What is the result of 3 divided by three-fifths?

Answers

[tex]\dfrac{3}{\tfrac 35} = 3 \times \dfrac 53 = 5[/tex]

Answer:

5

Step-by-step explanation:

3 -> [tex]\frac{3}{1}[/tex]

Method is "Keep, Change, Flip"

[tex]\frac{3}{1} / \frac{3}{5} =\frac{3}{1} * \frac{5}{3} = \frac{15}{3} = 5[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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