The balance of a loan is $2,570 in January, and the monthly payment is $125.50. The relationship between the loan balance, y, and the number of monthly payments made since January, x, can be represented by the equation y = 2,570 - 125.50x. In what months does the loan balance, y, meet the condition, $1,600 < y < $2,000?

Answers

Answer 1

Answer:

June, July, and August.

Step-by-step explanation:

1600<2570-125.5x<2000  subtract 2570 from all terms...

-970<-125.5x<-570  divide all terms by -125.5 (and reverse signs because of division by a negative!)

7.73>x>4.54  and x is months since January, and since months can only be integers...

x=[5,7]

So January + 5, 6, and 7 respectively are the three months that satisfy the equation...

June, July, and August.


Related Questions

find a 3\frac{1}{2}% commision on a sale of $2,500

Answers

Answer:

[tex] 3\frac{1}{2} [/tex]

[tex] = 7[/tex]

Now,

7℅ of 2500

[tex] \frac{7}{100} \times 2500[/tex]

[tex]7 \times 25[/tex]

[tex] = 175[/tex]

Commision=$175

hope it helps you :)

Answer:

the commison is $175

hope it helps you

the unit rate in miles per gallon for 15/4 and 1/5

Answers

Answer:

15 gallons per mile

Im Not sure.

Hope it helps.

please help me! by finding slope thank you have a blessed day

Answers

Answer: -1/3

Step-by-step explanation: you count the distance in the x (6) and y (2), then you simplify 2/6 = 1/3, and it facing backwards so it's negative.

Nina likes to tip restaurant staff 18% when she enjoys the meal and has good service. Which expression represents the amount of tip, in dollars, that Nina will give when she has a positive experience eating a meal that cost n dollars? 0. 18n 18n StartFraction n over 18 EndFraction n 0. 18.

Answers

The expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is [tex]0.18n[/tex]. Hence the option A is the correct option.

How to write algebraic expression?

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

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

Steps to write down the simple algebraic expression-

Identify all the factors of the expression.Assume a variable for the changing values.Put a coefficient for the variable, if there is any rate of change of variable.Use constant numbers for the fixed values.

Given information-

The tip given by the the Nina is 18 percent.

The cost of food is [tex]n[/tex] dollars.

Here the Nina gave the tip of 18 percent. This 18 percent is the percentage of total cost of the food.

Let [tex]f(n)[/tex] is the required expression.

As the the cost of food is [tex]n[/tex] dollars. Thus the 18 percent of [tex]n[/tex] dollars is,

[tex]f(n)=\dfrac{18}{100} \times n\\f(n)=0.18n[/tex]

Thus the expression represents the amount of tip, that Nina will give, when she has a positive experience eating a meal that cost n dollars is [tex]0.18n[/tex]. Hence the option A is the correct option.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

Triangle angle sum theorem
what is the value of x?
I will give brainleist!!

Answers

56 Is the answer.

Step-by-step explanation:

hopeit helps

[tex]\huge \color{pink} \boxed{x = 56 }[/tex]

Step-by-step explanation:

[tex]\\ \\ \large\color{lime}\boxed{Given \: Question↣ \: by \: angle \: theorem \: find \: the \: value \: of \: x} \\ \\ \large\sf {triangle \: angle \: sum \: states \: that \: the \: three \: interior \: angles \: of \: any \: triangle \: add \: up \: to \: 180 \: degrees. \: } \\ \\ \large \sf{equation↣31 + 37 + 2x = 180}\\ \\ \large \sf{lets \: solve↣} \\ \\ \large \sf{⇒ \: 68 + 2x = 180}\\ \\ \large \sf{⇒2x = 180 - 68}\\ \\ \large \sf{⇒2x = 112}\\ \\ \large\sf{⇒x=\cancel\frac{112}{2}}\\\\ \large \sf{⇒x = 56}[/tex]

[tex] \\ \\ [/tex]

[tex]\large\color{cyan}{\boxed{\mathfrak{❥\:Glossy\:Pearl}}}[/tex]

What is X equal to?
Points are 15

Answers

question is equaled to 180 degrees

x= 128… supplementary angle theorem or whatever. 180-49=131…131-3=128

Kate has 4 3/8 yards of fabric and needs 2 7/8 yard to make a skirt. How much extra fabric will she have left after making a skirt? Pls give me a explanation

Answers

Ok so the fractions are 4 3/8, the 4 represents a whole number that means 1= 8/8 so 4 will be 32/8 and adding the 3/8 left there is 35/8.
Then we get and do the same with the other equation we multiply the whole number by the denominator 2*8 which equals 16/8 adding the 7/8 left will be equal 23/8 so it will be easier like this so 35/8 - 23/8 ( you only substract the nominators), will be equal 12/8 you substract 8 from the nominator (12) and put a 1 whole number on the side so it will be 1 4/8 then if you want to simplify it you take only 4/8 then find the greatest common factor which is 4 and divide both by it so the answer will be 1 1/2

Examine this system of equations. Which number can be multiplied by each equation so that when the two equations are added together, the y term is eliminated?Three-fourths x + two-thirds y = 6StartFraction 5 Over 8 EndFraction x + five-sixths y = 1215 times the first equation and 12 times the second equation15 times the first equation and –12 times the second equation30 times the first equation and –6 times the second equation30 times the first equation and 6 times the second equation

Answers

Answer: 15 times the first equation and -12 times the second equation

Step-by-step explanation:

4. Use information in the figure below to find M/_ D​

Answers

Answer:

d

Step-by-step explanation:

Since DF = EF then the triangle is isosceles with base angle being congruent, that is

∠ D = ∠ E , then

∠ D = [tex]\frac{180-133}{2}[/tex] = [tex]\frac{47}{2}[/tex] = 23.5°

What percent of 481 is 74?

Answers

Answer:

481:74*100 =

(481*100):74 =

48100:74 = 650

The numbers 38, 79, 17, 43, 74, 96, and 87 are re-arranged so that starting with the second number, the tens digit of each number is equal to the units digit of the previous number. What is the fourth number in this new list?

Answers

Answer:

  38

Step-by-step explanation:

Sequential pairs will be ...

  38 - 87

  79 - 96

  17 - 74 or 79

  43 - 38

  74 - 43

  96 - (none)

  87 - 74 or 79

We notice that 17 has no preceding number. It must be first in the list. 79 cannot be second, because that skips a bunch of numbers. The sequence appears to be ...

  17 - 74 - 43 - 38 - 87 - 79 - 96

The 4th number in the list is 38.

the sum of 11.6 and 4.1 by rounding each number to the nearest whole.

Answers

11.6 rounded to the nearest whole is 12 and 4.1 rounded to the nearest whole is 4 (rule is if the decimal [or number in general] is 4 or lower, the whole stays the same and if the number is 5 or higher, the whole goes up by one). 12+4=16

I'll give you brainliest if you answer correctly! <3

Answers

Answer:

The answer should the second Arrow option.

Step-by-step explanation:

I'm not into this subject well so, so sorry if its wrong..

This type of test is in K12 which is my school.

Examine this system of equations. Which numbers can be multiplied by each equation so that when the two equations are added together, the y term is eliminated? One-fourth x minus one-sixth y = 5 Four-fifths x StartFraction 3 Over 8 y EndFraction = 10 18 times the first equation and 8 times the second equation –18 times the first equation and 8 times the second equation 8 times the first equation and 6 times the second equation –8 times the first equation and 6 times the second equation.

Answers

In the elimination method one variable is eliminated from the system of equation to find the value of other.

The first equation must be multiplied by 18 and second equation must be multiplied by 8.

What is elimination method?

To solve the system of equation and find the value of the variables, the elimination method is used.

In this method one variable is eliminated from the system of equation to find the value of other.

Given information-

The system of equation given in the problem is,

[tex]\dfrac{1}{4}x -\dfrac{1}{6}y =5\\[/tex]              ......1

Let the above equation as equation 1.

The second equation given in the problem is,

[tex]\dfrac{4}{5}x +\dfrac{3}{8}y =10[/tex]             ......2

Let the above equation as equation 2.

To eliminate the y term, make the coefficient of y of both the equation equal.

As the coefficient of y of  the equation 2 is 3/8.  Thus multiply second equation with 8 to eliminate coefficient. Thus,

[tex]8\times \dfrac{4}{5}x +8\times\dfrac{3}{8}y =8\times10\\[/tex]

[tex]\dfrac{32}{5}x +3y =80[/tex]              .....3

Multiply  equation 1 with 18 to make the coefficient of y equal. Thus,

[tex]18 \times\dfrac{1}{4}x -18\times\dfrac{1}{6} \times y =18 \times5[/tex]

[tex]\dfrac{18}{4}x -3 =90[/tex]            ......4

Add equation 3 and equation 4 as,

[tex]\dfrac{32}{5}x +3y+ \dfrac{18}{4}x -3y =80+90[/tex]

[tex]\dfrac{32}{5}x + \dfrac{18}{4}x =170[/tex]

Hence the first equation must be multiplied by 18 and second equation must be multiplied by 8.

Learn more about the elimination method here;

https://brainly.com/question/7013345

Answer:

Its A bestie and for everyone else that is gonna search this up.

Step-by-step explanation:

What is A2 – (B C) in simplest form? 8x2 – 25x 7 8x2– 25x 11 10x2 – 25x 7 10x2 – 25x 11.

Answers

Answer:

8x2 – 25x + 7

Step-by-step explanation:

its A

Answer:

its A

Step-by-step explanation:

or 8x2 – 25x + 7

Subtract one point nine from two point seven.

Answers

Answer:

2.7 - 1.9 = 0.8

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
1/5 =
2/3 =
1/5 + 2/3 =

Answers

Answer:

3

Step-by-step explanation:

The fractions are: [tex]\frac{1}{5}[/tex] and [tex]\frac{2}{3}[/tex]. Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: [tex]\frac{5}{15}[/tex] and [tex]\frac{10}{15}[/tex]. Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in [tex]\frac{2}{3}[/tex], we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: [tex]\frac{1}{5}[/tex] + [tex]\frac{2}{3}[/tex]. We know it is the same as [tex]\frac{5}{15}[/tex] and [tex]\frac{10}{15}[/tex]. So now all we do is add the numerators together: 5+10=15 or [tex]\frac{15}{15}[/tex]. Now we have to reduce the fraction. [tex]\frac{15}{15}[/tex] can be reduced to 3 by dividing 15 by 5=3. The final fraction is [tex]\frac{3}{3}[/tex] or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!

What is the solution for -10 < x - 9?

x < -1
x < -19
x > -1
x > -19

Answers

Answer:

x > -1

Step-by-step explanation:

Simplify both sides of the equation, then isolate the variable.

X&gt,;19 real answer

I need help ASAP, please save me.

Answers

UVX=90 bc UV is diameter.
WUX: (360-212)/2=74
VUX: 90-74=16

Write the value of x

Answers

Answer:

x=110

Step-by-step explanation:

Use the polygon formula (n-2) × 180 where n is the number of points

The polygon has 7 points

(7-2) * 180 = 5 * 180 = 900

All the angles should add up to 900

119+86+167+283+64+71+x=900

x=110

Which graph below is a tree graph?

Answers

Answer:

The third one, I think.

Step-by-step explanation:

Hopes this helps. <3

greatest common factor 32 and 45

Answers

Answer:

1

Step-by-step explanation:

factors of 32 = 1, 2, 4, 8, 16, 32; factors of 45 = 1, 3, 5, 9, 15, 45) and choose the greatest factor that exactly divides both 32 and 45 is 1

Answer:

GCF = 1

Step-by-step explanation:

factors of 32:  1,2,4,8,16,32

1 x 32

2 x 16

4 x 8

factors of 45:  1,3,5,9,15,45

1 x 45

3 x 15

5 x 9

only value in common is 1

function or not a function

Answers

Answer:

non functional

Step-by-step explanation:

since the line that is graphed goes straight up and down it doesn’t pass the function test because multiple points are plotted on the same line

So I have a question on my homework and I don’t get how to solve it the question is…. c-1=3/4

Answers

Answer:

[tex]c=\frac{7}{4}[/tex]

Step-by-step explanation:

Rewrite -1 as -4/4 and add the fractions

[tex]c-1=\frac{3}{4}\\ \\c-\frac{4}{4}=\frac{3}{4}\\ \\ c=\frac{3}{4}+\frac{4}{4}\\ \\ c=\frac{7}{4}[/tex]

Answer:

c=1[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

c-1=3/4

c=3/4+1

c=1[tex]\frac{3}{4}[/tex]

There are 9 squares and 15 circles. What is the simplest ratio of squares to circles?

Answers

Answer:

0.6 squares per circles

3:5

Step-by-step explanation:

if you are looking for a different answer just comment on this

[tex]\huge\pmb{Hi!}[/tex]

Here's what a ratio looks like:

Let's assume we have numbers a and b.

The ratio of a to b is:

a:b

So, let's figure out the ratio of squares to circles:

9:15

Is the ratio in its simplest form? No, it isn't. We can divide 9 and 15 by 3.

[tex]\huge\boxed{\star{Answer:3:5\star}}[/tex]

Hope it helps! Enjoy your day!

~Just a determined gal

[tex]\bf{^e^r^u^t^a^N\:^t^n^e^l^i^S[/tex]

Translate the following inequality into written language. 5x-6<14

ANSWER QUICK

Answers

Answer:

5 times a number subtract 6 is less than 14

Step-by-step explanation:

Answer:

The difference of the product of a number and five and six that is less than 14

Step-by-step explanation:

5x-6<14

5x: the answer to a multiplication problem is the product

- : the answer to a subtraction problem is the difference in this case it is the difference of 5x and 6

<14: X is only the number if the difference is less than 14

A tank that loses 1320ml of water in 2 1/3 hr expressed in ml/min

Answers

9.43ml/second is the answer

please help me do this iready please i am saying it kindly

Answers

Answer:

See below.

Step-by-step explanation:

The answer is each figure in group 2 has one face.

-hope it helps

A six-sided number cube is rolled 900 times. How many times is it expected that a number less than 5 will be rolled? O approximately 300 times o approximately 450 times o approximately 600 times O approximately 750 times​

Answers

It is expected that a number less than 5 will be rolled approximately 600 times.

Probabilities

To determine how many times is it expected that a number less than 5 will be rolled, the following probability calculation must be performed:

Sides less than 5 in a 6-sided cube = 44/6X = 9004/6 = 0.66666666666900 x 0.66666666666 = X600 = X

Therefore, it is expected that a number less than 5 will be rolled approximately 600 times.

Learn more about probabilities in https://brainly.com/question/743546

Answer:

The answer to your question is 600 times

Please help me solve this equation please and thank you

Answers

Answer:

0,3

Step-by-step explanation:

   6x + 3y = 9

+  -6x + 4y = 12

=

7y = 21

y = 3

Replace 3 into one of the equations and solve for x

6x + 3(3) = 9

6x + 9 = 9

6x = 0

x = 0

Other Questions
Information about where a drug was found has little impact on any tests that might be run to confirm its identity.TrueFalse Is 5z,5x,5y a like terms or unlike terms What is contact sport. In a controlled experiment, researchers manipulate one variable at a time. What was the experimental variable in this study?. Write a formal letter to the Principal of your school requesting him to Increase the number of P.E lessons in your timetable and give him logical reasons as to why you are putting forward that request. A survey asked a group of students to choose their favorite type of music from the choices of rock, hip-hop, and country. The results of the survey are shown in the graph. Based on the graph, how many more students in a class of 270 students would be expected to choose country than rock?A) 10B) 20C) 30D) 60 9. What is the total weight of an average woman's brain and heart in pounds (lb)? PLEASE HURRY I WILL GIVE BRAINLIEST Noah began racing go-karts when he was just six years old. Noah has traveled to other states to race, win, and finish in the top five, an impressive accomplishment for anyone but especially for a young driver. He now races a 1934 Ford Legends Coupe, a car that weighs 1,000 pounds and goes faster than 100 miles per hour. Noah regularly competes against drivers who are three times older than he is, but he does not let that intimidate him. He explained in one news article, "I have been racing against older people all my life. When you strap on a helmet, you are no longer a 13-year-old kid, you are a racecar driver. The other drivers don't treat me like a kid. They treat me the same as the other drivers on the track." He has the nickname "Little Gator" partly because of his size and partly because of Gatorland's sponsorship over the last several years.In paragraph 2, Noah says, "I have been racing against older people all my life. When you strap on a helmet, you are no longer a 13-year-old kid, you are a racecar driver."What is the implicit meaning of his words? I am very talented because I am able to race against adults. Everyone on the racetrack is equal. All racecar drivers have to wear helmets regardless of age. Older racers are embarrassed to compete against a kid. evaluate the expression 6x + 2/3 - 4y +1/2 when x= 3/4 and y= 1/6 which political belief was central to the articles of confederation In Australia, some native bugs eat the large fruit of an invasive plant by making a hole in the fruits thick skin with their mouthparts. The table below shows data that scientists collected about the bugs before and after the invasive plants were introduced. (S7L5a)1 pt.Bug CharacteristicsBefore Invasive PlantsAfter Invasive Plantsaveragelengthofmouthparts(female)6.81mm7.41mmaveragelengthofmouthparts(male)6.08mm6.48mmaveragebodylength(female)13.24mm13.65mmaveragebodylength(male)11.63mm11.92mmBased on the information in the table, which of the following best explains why this bug population has changed since the introduction of the invasive plants? A.The bugs are unable to feed on native fruits. B.Bugs with shorter mouthparts have all died off. C.Bugs with shorter mouthparts have all died off. D.The bugs have started cross-breeding with a larger species.8. Based on fossil evidence, scientists concluded that whales evolved from hoofed mammalian ancestors that lived on land. New evidence confirms this and suggests that among the hoofed mammals, the hippopotamus is the closest living relative of whales. Which of the following was the most likely source of this new evidence? (S7L5c)1 pt.A.Comparisons of lifespans B.Comparisons of gene sequencesC.Mapping of geographic distributions D.Calculation of population birth rates7thGrade Unit 3 Pre-Assessment9. The illustrations below show a sugar glider and a flying squirrel. (S7L5b)1 pt.The sugar glider lives in Australia, and the flying squirrel lives in North America. The two species have many similar characteristics, including the ability to glide, but the sugar glider and the flying squirrel are not closely related species.Which of the following statements explains why the sugar glider and the flying squirrel both have the ability to glide?A.Both evolved at the same time in geologic history B.Both interbred and blended their gene pools in the past.C.Both learned to glide by imitating the same kinds of bird species.D.Both adapted to similar niches in which gliding increased their chances of survival10. Thousands of years ago, the jaws and teeth of jaguars were more varied in size than they are today. During a period of climate change about 11,000 years ago, jaguars faced a shortage of food. There were fewer mammals to eat, so the jaguars had to eat shelled reptiles. The jaguars with the largest jaws and teeth could most easily eat the shelled reptiles. Which of the following statements best explain why large jaws and teeth are common characteristics in jaguars today? (S7L5c)1pt.A.Jaguars with the smallest jaws and teeth died out completely.B.Jaguars with the smallest jaws and teeth were not ever able to mate.C.Jaguars with the largest jaws and teeth survived and reproduced more successfully than other jaguars.D.Jaguars with the largest jaws and teeth strengthened them by using them more frequently than other jaguars.7thGrade Unit 3 Pre-AssessmentConstructed Response Items:11. A hawk has a genetic trait that gives it muchbetter eyesight than other hawks of the same species in the same area. Explain how this could lead to evolutionary change within this species of hawk over a long period of time. In your answer, be sure to include an explanation of:(S7L5b) 4pts (1pt.each)A.Competition within the hawk population1 pt.B.Survival of various individuals in the population1 pt.C.How the frequency of the better-eyesight trait would be expected to change over time within the population1 pt.D.What would most likely happen to the hawks having the better-eyesight trait if they also had unusually weak wing muscles1 pt. In your own words please WHOEVER ANSWERS CORRECTLY W STEP BY STEP GETS BRAINLIEST Create your own scenario that shows a violation of a right listed in the Bill of Rights or another constitutional amendment. The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent. In cellular respiration, glucose __________ electrons, whereas __________ electrons. Can energy be created PLEASE HELP!!! 8th grade Spanish DBA module 3 answer these questions with the correct conjugating verbsSee picture for questions !! Read the excerpt. Which phrase best completes the sentence?One effect of the underlined text is to ____________________________________ A--- show Victorianos insensitivity to Clarences obvious discomfort. B--- foreshadow that there will be conflict between Clarence and his father. C--- create conflict between Victoriano and Clarence about how to approach Don Mariano. D--- hint that everything will be settled without drama or misunderstandings. Help me please I need help