The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.

What is the minimum amount of money he needs to save each month?


$540

$625

$675

$1,250

Answer:

x = 1.14

Step-by-step explanation:

3(2x - 1) + 7 = 6x - 3 - 2(-4x) [Given Equation]

6x - 3 + 7 = 6x - 3 + 8x [Distributive Property]

6x + 4 = 14x - 3 [Combine like-terms]

-8x + 4 = -3 [Subtraction Property of Equality]

-8x = -7 [Subtraction PoE]

x = 1.14 [Division PoE]

Answer:

$55+$9x≥$199

You must work for at least 16 hours to be able to buy the bicycle.

Step-by-step explanation:

Let x represent the number of hours you need to work to buy the bicycle.

You already have $55.

⇒$55+ −−−−−≥ −−−−−

You also earn $9 per hour.

Algebraically, this can be written as 9x.

⇒$55+$9x≥ −−−−−

You need to earn at least $199 to buy the bicycle.

⇒$55+$9x≥$199

The ≥ sign is used because the left-hand side of the inequality must be "greater than or equal to" $199.

Let's find out how many hours you need to work to buy the bicycle.

Subtracting $55 from both sides of the inequality:

⇒$55−$55+9x≥$199−$55

⇒$9x≥$144

Dividing both sides by $9:

⇒$9x$9$=$144$9

∴x≥16

Therefore, you need to work at least 16 hours to afford the bicycle.

Answer:

Step-by-step explanation:

NOT 5.

_____________________

Firstly note that the radius of the circle is 13 ( centre to D )

Thus the distance from B to the centre is 13

Thus B → E → centre is a right triangle and distance from centre to E (x) can be calculated using Pythagoras' identity, that is

x² + 12² = 13²

x² + 144 = 169 ( subtract 144 from both sides )

x² = 25 ( take the square root of both sides )

x =  = 5

The distance from the centre to C ( the radius ) is 13, thus

x + EC = 13, that is

5 + EC = 13 ( subtract 5 from both sides )

EC = 8

Answer:

The answer is 8

Step-by-step explanation:

Answer:

21.67 hours/ week

Step-by-step explanation:

Given

[tex]Hours = 65[/tex]

[tex]Weeks = 3[/tex]

Required

Determine the rate

The rate is calculated using:

[tex]Rate = \frac{Hours}{Weeks}[/tex]

Substitute values for hours and week

[tex]Rate = \frac{65}{3}[/tex]

[tex]Rate = 21.67[/tex]

This implies that the rate is 21.67 hours/ week

Answer:

the factored form tells you times at which the object's height is zero.

Step-by-step explanation:

Hope that helps

Have a good day

Answer:

The polynomial -8x2 + 54x + 140 can be factored as (x + 2)(-8x + 70).

The factor (x + 2) represents the final price per hot dog after increasing it from the starting price of $2, where x is the number of $1 increases in price.

The factor (-8x + 70) represents the average number of hot dogs sold based on the price increase. For every $1 increase in price, the number of hot dogs sold declines by 8. So, if the price increases by x dollars, the number of hot dogs sold declines by 8x. Since the number of hot dogs sold without the price increase is 70, the number of hot dogs after a price increase is -8x + 70.

Step-by-step explanation:

PLATO

Answer:

C. y + 3 = ¼(x + 4)

Step-by-step explanation:

✔️Find the slope of the given line:

Slope = ∆y/∆x = -(4/1) = -4

The line that is perpendicular to the given line on the graph would have a slope that is the negative reciprocal of -4.

Thus, the slope of the line that is perpendicular to the line on the graph would be ¼.

m = ¼.

Since the line passes through (-4, -3), to write the equation in point-slope form, substitute a = -4, b = -3, and m = ¼ into y - b = m(x - a)

Thus:

y - (-3) = ¼(x - (-4))

y + 3 = ¼(x + 4)

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 > 1/4

Answer:

1/2 > 1/4

Step-by-step explanation:

1/2= 2/4

2/4 > 1/4

Answer:

y = 9x - 34

Step-by-step explanation:

(3 , -7) ; slope (m) = 9

Slope intercept form:

y - y1 = m(x -x1)

y - [-7] = 9 (x - 3)

y + 7  = 9*x - 9*3

y + 7 = 9x - 27

    y = 9x - 27 - 7

    y = 9x - 34

Answer:

The values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].

Step-by-step explanation:

An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:

[tex]y = m_{1}\cdot x + b_{1}[/tex] (1)

[tex]y = m_{2}\cdot x + b_{2}[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m_{1}[/tex], [tex]m_{2}[/tex] - Slope.

[tex]b_{1}[/tex], [tex]b_{2}[/tex] - y-Intercept.

If both lines are parallel to each other, then we must observe these two conditions:

1) [tex]m_{1} = m_{2}[/tex]

2) [tex]b_{1} \ne b_{2}[/tex]

Therefore, the values of [tex]m_{2}[/tex] and [tex]b_{2}[/tex] that will create a system of linear equations with no solution are [tex]m_{2} = -3[/tex] and [tex]b_{2} = -3[/tex].

Answer:

m=-3 and b=-3 on ed

Step-by-step explanation:

just did it

Answer:

-2a - 2b

Step-by-step explanation:

Question : (4a + b)-3(2a + b)

= 4a + b - 6a - 3b

= 4a - 6a + b - 3b

= -2a + (-2b)

= -2a -2b

If you need detail solution here ;

first + multiply both 4a and b

first -3 multiply both 2a and b and then -3×2a= -6a

-3×b = -3b

and it will be 4a + b -6a -3b,then collect like terms

4a - 6a + b -3b

= -2a +(-2b) in this part + tims - = -

= -2a - 2b

If it's not helpful ask me on comment I will try to answer

If it's helpful ❤❤

THANK YOU

Step-by-step explanation:

are this form 1 question??

Answer: last graph

Step-by-step explanation: Graphs of functions that are ODD, are symmetric about the origin.

Graphs of function that are EVEN, are symmetric about y-axis.

We need to figure out which one of the 4 are EVEN. So we take y-axis as the mirror and see both sides, LEFT and RIGHT and see i the points are symmetric or not.

Graph 1, 2, 3  ----  not symmetric about y-axis

Graph 4  -------  Definitely every point to left side of y-axis has a corresponding mirror point to the right of y-axis. So this is an EVEN FUNCTION.

Answer:

5

Step-by-step explanation:

Answer:

Answer:5

Step-by-step explanation:

hope it helps.

Answer:

the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Step-by-step explanation:

As given , RST and angle TUR are right angles.

So the triangles are right angle triangles.

If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.

So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.

Answer: 0.500001

Step-by-step explanation: Hope that helps!

Answer:

a) The cost of buying this car is of £6200.

b) The monthly payment is of £450.

Step-by-step explanation:

The cost of buying a car is given by:

cost = 12 X monthly payment + deposit

a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.

So

cost = 12*350 + 2000 = 4200 + 2000 = 6200

The cost of buying this car is of £6200.

b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.

Again, the formula is applied. So

cost = 12 X monthly payment + deposit

8000 = 12x + 2600

12x = 5400

x = 5400/12

x = 450

The monthly payment is of £450.

Answer:

$4200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 35000 × 0.02 × 6 = 4200

I = $ 4,200.00

The simple interest accumulated

on a principal of $ 35,000.00

at a rate of 2% per year

for 6 years is $ 4,200.00.

Answer:

I’m thinking $4200

Step-by-step explanation:

Because 35k at 2% for 6 years will get you that

Answer:

EHD=57°

BEING CORRESPONDING ANGLE

Answer:

57°

Step-by-step explanation:

It's a corresponding angle so EHD is the same as EGB

Answer:

Step-by-step explanation:

a.A sales tax is a consumption tax imposed by the government on the sale of goods and services.

b.12500x5%=625

The answer is c              Explanation :

Answer:

answer c

Step-by-step explanation:

The triangles of the dimensions are not similar by any property of similarity. Thus option D is correct.

Concept of similarity : Two triangles can be similar by AAA, SAS, SSS property .

Given,

Two triangles with different side lengths.

Here,

The two triangles are similar if they have same shape , but can be of different sizes and corresponding sides are of same proportions.

Here,

Triangles are of same shape but the corresponding sides are not in same proportions.

∴ 8/5 = 10/6.25 ≠  12/7

Therefore the two triangles are not similar.

Know more about similar triangles,

https://brainly.com/question/29191745

#SPJ4

Answer: Harriet is correct

Step-by-step explanation: Harriet is correct because if you graph it, it will turn out to be a straight line. It uses the equation y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. Hope this helps!

Answer:

Step-by-step explanation:

Factor the expression.

pr - r = r(p-1) = ½(-8) = -4

Answer:

-4

Step-by-step explanation:

I hope this helps!

Answer:

B: Sampling without replacement will result in a standard deviation less than but close to √0.4(0.6)/500

.Step-by-step explanation:

answer on khan academy

Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex] and this can be determined by using the standard deviation formula.

Given :

1) With Replacement --

The standard deviation is given by the formula:

[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}}[/tex]          ---- (1)

where the value of 'p' is given by:

[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]

Now, substitute the value of p and n in the equation (1).

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}}[/tex]

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(0.6)}{500}}=0.02190[/tex]

2) Without Replacement  --

The standard deviation is given by the formula:

[tex]\rm \hat{p}=\sqrt{\dfrac{p(1-p)}{n}\times \left(1-\dfrac{n-1}{N-1}\right)}[/tex]          ---- (2)

where the value 'p' is given by:

[tex]\rm p=\dfrac{4000}{10000}=0.4[/tex]

Now, substitute the value of p, n, and N in equation (2).

[tex]\rm \hat{p}=\sqrt{\dfrac{0.4(1-0.4)}{500}\times \left(1-\dfrac{500-1}{10000-1}\right)}[/tex]

Simplify the above expression.

[tex]\rm \hat{p} = 0.1442[/tex]

So, from the above calculation, the correct option is C) Sampling without replacement will result in the standard deviation greater than but close to [tex]\sqrt{\dfrac{0.4(0.6)}{500}}[/tex].

For more information, refer to the link given below:

https://brainly.com/question/23044118

Answer:

3.6(x + 2) - 6 = 3.6x + 1.2 can change it on him