Carter's account has gone into overdraft. His balance is $-43.3. To get back to a positive balance, he plans to deposit money at a steady rate of $24.05 per week. How much will be in his account after 7 weeks?

Answer:

  4200

Step-by-step explanation:

The least common multiple (LCM) is the product of the unique factors of the numbers:

  600 = 4 × 150

  1050 = 7 × 150

LCM(600, 1050) = 4×150×7 = 4200

_____

The above factoring may also help you see that the LCM is also the product divided by the greatest common factor:

  LCM(600, 1050) = 600 × 1050 / GCF(600, 1050)

  = 600 × 1050 / 150

  = 4200

Answer:

11 pencils cost £9.35.

Step-by-step explanation:

Given;

7 pencils = £5.95

1 pencil = 5.95 ÷ 7

= £0.85

Now,

11 pencils = 11 × 0.85

= £9.35

Answer:

9.35$

Step-by-step explanation:

to find the cost of 11 pencils first we need to find the price of 1.

5.95 divided by 7 = 0.85$ (the price of one pencil)

we need to find the price of 11 pencils though.

0.85x11= 9.35$

Answer:

17 tour guides

Step-by-step explanation:

First, we need to divide 83 by 5.

As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.

Answer:

They need 17 tour guides

Step-by-step explanation:

If we divide 83 by 5, we would get 16.6, and since we can't have 16.6 tour guides, we round to the nearest whole number, which is 17.

To order for all students to participate, they would need 17 tour guides.

Answer:

D)44 degrees

Step-by-step explanation:

2y+y+48=180

3y=132

Y=44

Answer:

A) The answer is exact

Step-by-step explanation:

Well i dont know how to explain but it's just going to infinity.

40% off of a textbook that costs $89

= 89 - 89x40% = 53,40

so better to get the used copy for £39.99

Answer:

probably the $39.99 one it's a bit more cheaper

Answer:

288

you first have to figure ot what

does 20% means. And this

questions is with subtracting.

So,

20% = 72

And since the question is with

subtracting we use our 360$

from before and we subtract.

360$ - 20% = 288 or

360$ - 72 = 288

I hope that explanation helped

you understand why the answer

is 288.

Answer:

7529536[tex]m^{36}[/tex]

I think this is the answer!

c=3/d

The formula for c in terms of d is c= 3/d

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional. When y and x are two values that are directly proportional to one another, the proportionality constant k is defined as k=y/x.

Given:

c=0.5 when d=6

We know that c is inversely proportional to d.

c ∝ 1/d

c = k / d

and, k = cd

k = 0.5 x 6

k = 3

Hence, the formula for c in terms of d is c= 3/d

Learn more about Constant of proportionality here:

https://brainly.com/question/29126727

#SPJ5

Answer:

The length of each flag is 5.5 ft

Step-by-step explanation:

Correct me if Im wrong but im most def right :)

Answer:

$34.5

Step-by-step explanation:

3 x2=6

17.25x2=34.5

Answer: $34.50

Step-by-step explanation:

Since 3 bags cost 17.50, 6 bags would just be 2 times that.

Answer:

there are a lot of numbers that begin 39 so your answer is 2...

Step-by-step explanation:

mr clean, mr cleans dog soonTM

Answer: 6x + 8y

Hope this helps!

Answer:

9x² + 24xy + 16y²

Step-by-step explanation:

(3x + 4y)²

= (3x + 4y)(3x + 4y)

each term in the second factor is multiplied by each term in the first factor.

3x(3x + 4y) + 4y(3x + 4y) ← distribute both parenthesis

= 9x² + 12xy + 12xy + 16y² ← collect like terms

= 9x² + 24xy + 16y²

Answer:

[tex](f - g)(x) = x^2-2x-2[/tex]

Step-by-step explanation:

We have the following two functions:

[tex]f(x)=x^2 +3g(x) = 2x-5[/tex]

In order to solve for [tex](f - g)(x)[/tex] we look at the two functions and realize that:

[tex](f - g)(x) = f(x) - g(x) = x^2+3-2x-5=x^2-2x-2[/tex]

Therefore:

[tex](f - g)(x) = x^2-2x-2[/tex]

Answer:

26

7.4

7 1/2

19.4

Step-by-step explanation:

Multiply each number by 3, then add 5

Answer:

A. [tex]f(x)=451(0.68)^x[/tex]

Step-by-step explanation:

Function [tex]f(x)=451(0.68)^x[/tex] best models the given data.

the 14 cars sold = 56% of total car stock

how many cars (noted n) for 100 % ?

14.............56%

n..............100%

n x 56% = 14 x 100%

n = 14 : 0,56

n = 25

total cars in stock : 25

56% were sold

so 25 x 56% = 14 have been sold

Answer:

25t + 100 = 550

Step-by-step explanation:

Notice that for every week, the balance increases by $25. That means t will be multiplied by 25 like this: 25t

There is already $100 on top of that, so add 100 to it like this: 25t + 100

Since Adam is saving for a $550 computer, this sum has to equal 550

25t + 100 = 550

If you want to find out how many weeks it will take to get that computer, subtract 100 from both sides

25t + 100 = 550

      - 100   - 100

25t = 450

Divide both sides by 25

25t/25 = 450/25

t = 18

It will take Adam 18 weeks to save up and buy that computer.

Answer:

oh its simple .

Step-by-step explanation:

just listen to whatever that guy above me told u .

Answer:

because the power of the polynomial (T) is 0.5 where the polynomial considered when it must have power as 1,2 or many more.

Answer:

Its not a polynomial because polynomials don's have their exponents in fraction or decimal form

Answer: C. rationalizing the denominator

Rationalizing the denominator is a useful step to simplify expressions where there are square roots in the denominator. It doesn't apply to actually solving a quadratic. On the other hand, the quadratic formula can solve quadratics. The same applies for choices B and D as well.

Answer:

The rear number is always the one to look at

9.42, 9.371,9.35,9.32,9.305,9.03

Step-by-step explanation:

Answer:

I hope this helps :)

Step-by-step explanation:

9.3 - Least

9.305

9.323

9.35

9.371

9.42 - Greatest

The places without a number still have a zero there, it's just a placeholder so it doesn't change the value at all in this case that is. :)

Answer:

the one on the bottom row is that graph that represents a function.

Step-by-step explanation:

Answer:

y= 5x-20+5

y=5x-15

so slope is 5

intercept is -15

Answer:

y=5x -15

Step-by-step explanation:

y=5(x-4) +5 -> y= 5x -20 +5 -> combine to get y=5x-15

The  equation which can be represented by the algebraic model are provided in option A and option B as,

[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]

[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]

Algebraic model are the expression which consist the variables, coefficients of variables and constants.

The algebraic model are used represent the general problem in the mathematical way to solve them.

Let's check the first option,

[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 - 2x - 3 = x^2+x-3x-3\\x^2 - 2x - 3 = x^2-2x-3[/tex]

As, the LHS is equal to the RHS. Thus, this is correct option.

Second option is given as,

[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 - 4x+ 3 = x^2 -x-3x+3\\x^2 - 4x+ 3 = x^2 -4x+3[/tex]

As, the LHS is equal to the RHS. Thus, this is correct option.

Third option is given as,

[tex]x^2 +2x+ 3 = (x +3)(x - 1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 +2x+ 3 = x^2 -x+3x - 3 \\x^2 +2x+ 3 = x^2 +2x - 3[/tex]

As, the LHS is not equal to the RHS. Thus, this is not correct option.

Forth option is given as,

[tex]x^2 +4x - 3 = (x+ 3)(x +1)[/tex]

Multiply the brackets to solve it further as,

[tex]x^2 +4x - 3 = x^2+ x+3x +3\\x^2 +4x - 3 = x^2+4x +3[/tex]

As, the LHS is not equal to the RHS. Thus, this is not correct option.

Hence, the  equation which can be represented by the algebraic model are provided in option A and option B as,

[tex]x^2 - 2x - 3 = (x - 3)(x +1)[/tex]

[tex]x^2 - 4x+ 3 = (x - 3)(x - 1)[/tex]

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Answer:

B. x2 – 4x + 3 = (x – 3)(x – 1)

Step-by-step explanation:

im right

The answer is nine .nine is not a perfect square.

Answer:ohn is welding a truss for a bridge. He determines the angles made by the sections he

welds together, so that the truss will be uniform. The top of the truss must be parallel to

the bottom of the truss. If an angled support makes a 125' angle with the top, what must

the measure of the interior angle on the same side of the transversal with the

Step-by-step

Step-by-step explanation:

the rules of the angles of 2 lines intersecting each other.

that means the angles on one side of the first line sind the intersection point, are the same as on the other side of the line - just left-right interchanged.

and to have a third line, parallel to the first line, where the exact same angles have to be, where the second line intersects the third line (a parallel line is like a mirror image of the first line : every look and feel has to be the same).

and then remember : all angles around a single point in one side of a line must be together 180°.

so, if the support beam has an angle of 125° with the top "line", the second angle there (the exterior Angie at that point) is then 180 - 125 = 55°.

this is all at the bottom side of the top "line".

these angles are therefore left-right exchanged the same on the top side of the top "line". so, 55° and 125° instead of 125° and 55°.

these angles at the top of the top "line" must be now exactly the same at the top of the parallel bottom "line" of the truss.

so, the interior angle there is 55°. and the exterior angle is 125°.

Answer: A Square

Step-by-step explanation: In the case of an equilateral triangle, just two circles are formed.

Answer:

[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]

Step-by-step explanation:

Vertex: (3,2)

Point: (13,8)

The equation form is [tex]y=a(x-h)^2+k[/tex]

h = 3

k = 2

y = 8

x = 13

Plug in the values into the form..

[tex]8=a(13-3)^{2} +2[/tex]

Simplify and solve for a..

[tex]8=a(10)^{2}+2[/tex]

[tex]8=100a+2[/tex]

[tex]100a=8-2[/tex]

[tex]100a=6[/tex]

[tex]a=\frac{6}{100} or \frac{3}{50}[/tex]

Plug a into the equation..

[tex]y=\frac{3}{50} (x-3)^{2}+2[/tex]

Hope this helped you!

Answer:

1.) x=61 2.) c=62

Step-by-step explanation:

Answer:

x=61    c=62

Step-by-step explanation:

1)multiply both sides by seven

56=x-5 add 5 to both sides

61=x

2) multiply both sides by -3

63=c+1 subtract one from both sides

c=62

Answer:

3 and 5

Step-by-step explanation:

correct on edge 2020

Answer:

3 and 5

Step-by-step explanation:

it is correct on edge, also because the graph goes up and down and not a U shape the possible degrees will only be negative