Kirk used the Quantitative Reasoning Process to build a budget while he is going to college. He worked hard over the summer and saved $3,251.35 to live on during the next two semesters of school. Kirk will receive a scholarship each semester for $1,157.9. If he plans to use up all of his savings while at school, how much money can Kirk spend each month, on average, for things like groceries, entertainment, and miscellaneous items?
Assume two semesters equals 8 months total. Also assume Kirk has no other expenses than what he has listed here.



Scholarship for each Semester: $1,157.9



Tuition & Books Cost per Semester: $2,000

Housing Cost for a two-semester Contract: $1,025



If he has money left, what is the average monthly amount Kirk can afford to spend each month?

If he has overspent, what is the average monthly amount Kirk would be in debt each month?

(Indicate this amount with a negative sign)



(Round your answer to the nearest cent)

Answer:

n + 8 = 9

therefore 9-8 = 1

Answer:

[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]-2\cos^2(x)=-\cos(x)-1[/tex]

Over the interval [0, 2π).

First, notice that this is in quadratic form. So, to make things simpler, we can let u = cos(x). Substitute:

[tex]-2u^2=-u-1[/tex]

Rearrange:

[tex]2u^2-u-1=0[/tex]

Factor:

[tex](2u+1)(u-1)=0[/tex]

Zero Product Property:

[tex]2u+1=0\text{ or } u-1=0[/tex]

Solve for each case:

[tex]\displaystyle u=-\frac{1}{2}\text{ or } u=1[/tex]

Back-substitute:

[tex]\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1[/tex]

Using the unit circle:

[tex]\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}[/tex]

Answer:

Not necessarily

Step-by-step explanation:

Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.

Answer:

8.302

Step-by-step explanation:

cos(41)x/11

since x is on top then just multiply

cos(41)(11)

x=8.302 round it how u like

Answer:

8.3

Step-by-step explanation:

It has been awhile since I have done this so I may be a bit rusty.

a = (sin(A)⋅b) / sin(B)  =  (sin(49.00∘)⋅11.00)   /  (sin(90.00∘))    =    8.30

Answer:

D: 500

Step-by-step explanation:

This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?

                                    XxRoadToAcexX

Answer:

D

Step-by-step explanation:

Have a Nice Day

Answer:

(x^2 - 2)(y^3 - 2)

Step-by-step explanation:

I got it right on Iready

Solution :

Let x be student will be left handed

P = 0.09

Using the normal approximation to binomial distribution,

a). n = 108,

    μ = np = 9.72

    [tex]$\sigma = \sqrt{np(1-p)}$[/tex]

       [tex]$=\sqrt{8.8452}$[/tex]

       = 2.9741

Required probability,

P(x=8) = P(7.5 < x < 8.5)

[tex]$=P\left(\frac{7.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{8.5-9.72}{2.9741}\right)$[/tex]

[tex]$=P(-0.75 < z < -0.41)$[/tex]

Using z table,

= P(z<-0.41)-P(z<-0.75)

= 0.3409-0.2266

= 0.1143

b). P(x=12) = P(11.5 < x < 12.5)

[tex]$=P\left(\frac{11.5-9.72}{2.9741}< \frac{x-\mu}{\sigma}< \frac{12.5-9.72}{2.9741}\right)$[/tex]

[tex]$=P(0.60 < z < 0.94)$[/tex]

Using z table,

= P(z< 0.94)-P(z< 0.60)

= 0.8294 - 0.7257

= 0.1006

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

Answer:

They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.

Step-by-step explanation:

That’s what i put

Answer:

use photo math

Step-by-step explanation:

go to gogle play if you have android, look for the a search bar it is usually on the top right. type in photo math in the key pad. install it

Answer: 6.50 + 5.75n

Step-by-step explanation:

Answer:

6.50 + 5.75n

Step-by-step explanation:

because since it said let n equal the number of hours AFTER the FIRST hour.

(just have to read the question carefully)

Answer:

-3/4

Step-by-step explanation:

In slope-intercept form, the slope is the coefficient of x.

Answer:

c

Step-by-step explanation:

The statement which explains the given options will be Drivers may drive more carefully on rainy days, so the number of speeding tickets decreases. Hence, option C is correct.

According to the Traffic Ordinance, disobeying a rule or following a piece of advice inside the Road Users' Code is not in and of itself an offense, but any such rejection may be looked into in any deliberations (as to if civil or criminal, including litigation for an offense underneath the Road Traffic Ordinance), and may also be relied upon for establishing or negating any liability.

However, it should be emphasized that several of the guidelines in the Car Drivers' Code exactly mirror the law, and anyone who violates these guidelines may be breaking the law.

It means that on rainy days, divers drive very carefully as compared to other days.

To know more about traffic rules:

https://brainly.com/question/28879065

#SPJ2

9514 1404 393

Answer:

  7.4

Step-by-step explanation:

Put the given value into the formula and do the arithmetic.

  R = log(2.4×10^7)

  R ≈ 7.3802 ≈ 7.4

The earthquake is about 7.4 on the Richter scale.

Answer:

A, because its reflecting off of the y axis

Step-by-step explanation:

I have proof links, and I took the test

Answer:

108: 4x3^3, 3^2x12, 6^2x3

96: 2^5x3, 2^3x122^4x6

Step-by-step explanation:

Answer:

7. D) 61in

8. A) 57in

9. A) 47in

Step-by-step explanation:

The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.

7.

AB + BC + AC = 145

Substitute,

2x + 2x + 5 + x = 145

Simplify,

5x + 5 = 145

Inverse operations,

5x + 5 = 145

-5

5x = 140

/5

x = 28

Substitute,

AC = 2x + 5= 2(28) + 5 = 61

8.

AB + BC + AC = 135

Substitute,

2x + 2x + 5 + x = 135

Simplify,

5x + 5 = 135

Inverse operations,

5x + 5 = 135

-5

5x = 130

/5

x = 26

Substitute,

AC = 2x + 5 = 2(26) + 5 = 57

9.

AB + BC + AC = 122

Substitute,

x + 22 + 2x + x = 122

Simplify,

4x + 22 = 122

Inverse operations,

4x + 22 = 122

-22

4x = 100

/4

x = 25

Substitute,

AB = x + 22 = 25 + 22 = 47

Answer:

I think the answer is 6.5

Answer:

10

Step-by-step explanation:

The total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have:

Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.

As we know:

1 pounds = 16 ounces

Amount of lettuce = 8 ounce

Amount of carrots = 2 pounds = 2×16 = 32 ounces

Total weight of the lettuce and carrots in ounces =  8 + 32 = 40 ounces

Thus. the total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.

Learn more about the unit conversion here:

brainly.com/question/14350438

#SPJ1

Answer:

166

Step-by-step explanation:

Brainliest and a thanks??

Term 1: 13

Term 2: 26

Term 3: 39

Term 4: 52

Term 5: 65

Term 6: 78

term 7 : 91

Term 8: 104

Term 9: 117

Term 10: 130

Term 11: 143

Term 12: 156

OR 13*12=156

Add 13 every time until you add it 12 times you will get 156. Or you can mulitply 13*12 you will get 156. Multiply is much easier though!!

Hope this helps!

Answer=156

Have a great day!

- Hailey!

(nothing is copied or pasted!!!)

Answer:

Step-by-step explanation:

9 sides

Answer:

a decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Step-by-step explanation:

Step-by-step explanation:

[tex] \: \:\huge\mathfrak\purple{Answer...} \\ \\ here \: is \: your \: solution \\ \\ area \: of \: parallelogram = base \times height \: \\ \\ base = 10cm \: \\ \\ height = 6cm \: \\ \\ aera \: of \: pralelogram = 10 \times 6 \: \\ \\ area \: = 60 \: cm.sq \\ \\ \huge\mathfrak\red{hope \: it \: helps...}[/tex]

Answer:

1/3 and 1/5

Step-by-step expl1

u should kno

Answer:

5. 10 cm

6. 12 in

7. 5 mi

8. 13 cm

Step-by-step explanation:

5. 6² + 8² = x²

36 + 64 = x

36 + 64 = 100

√100 = 10

6. 15² - 9² = x²

225 - 81 = 144

√144 = 12

7. 3² + 4² = x²

9 + 16 = x

9 + 16 = 25

√25 = 5

8. 12² + 5² = x²

144 + 25 = x

144 + 25 = 169

√169 = 13

Step-by-step explanation:

| |

-4. +15

Answer:

13 miles in feet = 68640 feet

we now need to get the number of cars, we use division to get groups

68640 / 15 = 4576.

we now see there are 4576 cars in the traffic jam.

Less, they are longer cars so the divosor would no longer be 15, it would be a higher number. 4576 cars would  not be able to fit in a 13 mile stretch if those cars were any longer.