Your brother is going to buy a car when he graduates, but he doesn't have enough money to pay for it in cash. He takes a loan out at a bank that charges 4% simple interest. If the initial cost of the car is $18,500 and he takes out a 5-year loan, what is the total amount your brother will be paying for the cost of his car?

Answer:

13.1

Step-by-step explanation:

Note the place values

1 : tens

3 : ones

.  (decimal point)

0 : tenths

9 : hundredths.

Solve for the tenths place value. Note the hundredth value, it is a 9

Because 9 is greater than 5, round up.

13.09 rounded to the nearest tenth is 13.1

~

To round 13.09 to the nearest tenth, we increase the tenths place by 1 since the hundredths place is 9. Thus, the number rounds up to 13.1.

The question asks to round the number 13.09 to the nearest tenth. To do this, we look at the hundredths place, which is 9 in this case. Since the digit in the hundredths place is 5 or more, we round the digit in the tenths place up. Therefore, 13.09 rounded to the nearest tenth is 13.1.

Answer:

r < -7 or r > 10

Step-by-step explanation:

-2|3 - 2r| < -34

|3 - 2r| > 17      (Note the inequality sign flips because we divide by negative)

Now we split it up into 2 inequalities :-

3 - 2r > 17

-2r > 14

r  < -7     (answer)

and

3 - 2r < -17

-2r < -20

r > 10  (answer).

Answer:

r > 10 or r < - 7

Step-by-step explanation:

isolate the absolute value by dividing both sides by - 2

| 3 - 2r | > 17

Inequalities of the type | x | > a always have solutions of the form

x < -a OR x > a, hence

3-2r < - 17 or 3 - 2r > 17 ( subtract 3 from each interval )

- 2r < - 20 or  - 2r > 14 ( divide both intervals by - 2 )

Remembering to reverse each inequality symbol as a result of dividing by a negative quantity.

r > 10 or r < - 7

Final answer:

To convert the fraction 12/(y-x) to have a denominator of (x-y), you multiply both numerator and denominator by -1, resulting in the fraction -12/(x-y).

Explanation:

To bring the fraction 12/(y−x) to a denominator of (x−y), realize that y−x is essentially -(x−y). This means we can multiply the numerator and denominator by -1 to get the desired denominator. The step-by-step process would be:

Now, the fraction 12/(y−x) is expressed with the desired denominator (x−y) as -12/(x−y).

Answer:

Her shadow is 7.5 feet

Step-by-step explanation:

The ratios are the same so

Cello case height                cello shadow

--------------------------  =      ---------------------------

  woman height                   woman shadow

 4          6

__   =  ___    cross multiply

  5          x

4(x) = 6(5)

4x  =  30

/4       /4

 x = 7.5

the shadow of the woman will be 7.5 feet.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

Given, A 5-foot woman stands near a 4-foot cello case. The cello case casts a shadow that is 6 ft long.

Since the shadows are made because of the light of the Sun. thus we will assume the Angle of Light source will be the same.

So In angles are the same then

Base and perpendicular will be in proportion as per the Pythagorean theorem

So,

Women's height/cello's height = Women's shadow/cello's shadow

=> 5/4 = women's shadow/ 6

=> women's shadow = 7.5 ft

Therefore, the shadow of the woman will be 7.5 feet.

Learn more about proportionalities here:

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Answer:

He should get gas before leaves because if 1cm=40km       3.8=150km

Step-by-step explanation:

Answer:

value of 'u'= -54

Step-by-step explanation:

[tex]30 = -\frac{5}{9}u[/tex]

To eliminate any number  , we always do opposite operation

To remove denominator 9, we multiply both sides by 9

[tex]30*9 = -\frac{5}{9}*9*u[/tex]

270 = -5u

To remove -5 we divide by -5 on both sides

[tex]\frac{270}{-5} = \frac{-5u}{-5}[/tex]

-54= u

So value of u= -54

Slope intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Look at your graph. The Y-Intercept is +4. Plug it into your equation:

y = mx + 4

Look at your graph. The slope is (rise/run) - find two whole points and (rise/run). Take (-1, 1) (p1) and (0,4) (p2). Rise up 3 and run right 1 from p1 to reach p2.

y = (3/1)x + 4

y = 3x + 4

Answer:

You should buy from the first store

Step-by-step explanation:

Since there are 4 quarts in a gallon, we will need to multiply .80 by 8 to figure out how much it costs for 2 gallons. This will be $6.40 for the second store, and in order to find out how many the first store offers, we multiply 3 by two, which is six.

So, the first store charges $6.00 for two gallons, and the second store does $6.40 for two gallons of milk

Answer:

The first store.

Step-by-step explanation:

This is easy, multiply 0.80 x 4 since there are four quarts in a gallon. You get 3.20. Then, multiply 3.20 by 2 to get 6.40 and 3.00 by 2 to get 6.00.

So

Store number one: $6.00

Store number two: $6.40

Answer:he got faster

Step-by-step explanation:

Answer:

She will sell aproximately 13 dresses sold in 1 hour.

Step-by-step explanation:

Answer:

16/21

Step-by-step explanation:

Thirty-four thousandths.

Answer:

For 21 picks, there are 6 orange

Step-by-step explanation:

orange: green   : total

2               5            2+5

2             5              7

If there are 21 picks, we need to divide by 7  to see how many times we need to multiply

21/7 = 3

Multiply everything by 3

orange: green   : total

2*3          5*3          7*3

6                 15           21

For 21 picks, there are 6 orange

Answer:

x-independent

y-dependent

Step-by-step explanation:

Dependent variable: y because you get the points by doing the quiz.

Independent variable: x because you don’t know how many questions you answered correctly.

Total points you score: Unknown until you know how many you got right also the same as y.

Number of questions you answer correctly: Unknown until you get your paper back, also the same as x.

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Answer:

x ≥ 5y

y ≤ 25

x ≤ 200

Step-by-step explanation:

It is given that Trisha wants to use at least 5 times as many key chains as thumb drives.

x represents the number of key chains and y represents the number of thumb drives.

Therefore, x ≥ 5y.

Total number of thumb drives is 25.

Therefore, y ≤ 25.

Total number of key chains is 200.

Therefore, x ≤ 200.

Answer:

x≥5y

x+y≥50

y≤25

Answer:

For every $16 Rob would get $6.

So for $32 it would be double since 32 is 2x more than 16 ¯\_(ツ)_/¯

The answer would be 6 x 2 or $12.

$12 is the answer.

Step-by-step explanation:

If you can please mark brainliest :3

Answer:

He saved $12.

Step-by-step explanation:

32/16 = 2

2 x 6 = 12

Answer:

The answer is 41

Step-by-step explanation:

37+ 12 + 22 + 43 + 57 + 58 + 58 = 287

287/7 = 41

Answer:

The number of hamburgers sold was 126.

Step-by-step explanation:

Let h = number of hamburgers sold

let c = cheeseburgers sold

c+h = 378

c = 2h

Substitute c =2h into c+h =278

c+h =378

2h+h = 378

Combine like terms

3h = 378

Divide by 3

3h/3 =378/3

h =126

The number of hamburgers sold was 126.

Final answer:

To determine how many hamburgers were sold, we set up a system of equations and found that 126 hamburgers were sold.

Explanation:

The local hamburger shop sold a combined total of 378 hamburgers and cheeseburgers. We are told that the number of cheeseburgers sold was 2 times the number of hamburgers. We can set up a system of equations to solve this problem using h to represent the number of hamburgers and c to represent the number of cheeseburgers:

h + c = 378 (the total number of burgers sold)

c = 2h (the number of cheeseburgers was 2 times the number of hamburgers)

Now let's substitute the second equation into the first to solve for h:

h + 2h = 378

3h = 378

h = 378 ÷ 3

h = 126

Therefore, the number of hamburgers sold was 126.

Answer:

they each used 1.5 quarts    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

10.5 ÷ 7 = 1.5 QUARTS FOR EACH GROUP

To find out the amount of water each group used, the total quantity of water, 10 1/2 quarts, should be divided by the number of groups, which is 7. This gives the result of each group using around 1.5 quarts.

To find out how many quarts each group used in the experiment, you would need to divide the total amount of water by the number of groups. In this case, you would divide 10 1/2 quarts by 7 groups.

First, you need to convert the mixed number 10 1/2 to an improper fraction or a decimal. 10 1/2 equals 21/2 or 10.5 in decimal form.

So, 10.5 quarts divided by 7 groups equals approximately 1.5 quarts.

Therefore, each group used 1.5 quarts of water for their experiment.

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Answer:

$27 per week.

Step-by-step explanation:

Multiply:

$2.65 x 8 (twice per day)= $21.20

$1.45 x 4 (once oer day)=$5.80

Add those together to get $27 per week.

Answer: This is a function

There are no repeated x values. Each x value is paired with exactly one y value. If you had an input of something like x = 3 lead to y = 5 and y = 8 at the same time, then it wouldn't be a function.

If you want, you can graph all five of these points, as is shown in the attached image below. You'll notice that it is impossible to draw a vertical line through more than one of these five points. The graph therefore passes the vertical line test to visually confirm we have a function.

Final answer:

To evaluate the expression x + 4 / 3x for x=2, substitute 2 into the expression and solve. For the plus sign, the result is 1, and for the minus sign, the result is -1/3.

Explanation:

To evaluate the expression x + 4 / 3x with x=2, we perform the following steps:

First, we plug in the value of x into the expression,

Therefore, when evaluating for both signs in the numerator, we get x = 1 for the plus sign and x = -1/3 for the minus sign.

Answer:

3 x^6

Step-by-step explanation:

I believe you are asking for the cube root of (27x^18)

(27 x^18) ^ (1/3)

I will use the property (ab)^c = a^c * b^c

27 ^ 1/3  * x^18 ^ 1/3

Now I can use the property  a^ b^ c = a^ (b*c)

3 * x^( 18* 1/3)

3 * x^ (6)

3 x^6

Answer:

A coordinate is one of a set of numbers used to identify the location of a point on a graph. Each point is identified by both an x and a y coordinate.

Step-by-step explanation:

Answer:

512 student tickets.

Step-by-step explanation:

Let x be number of student tickets and y be number of adult tickets.

We have been given that at Friday's football game 1,294 tickets were sold. We can represent this information as:

[tex]x+y=1294...(1)[/tex]

We are also told that each student ticket costs $5.00, and each adult ticket costs $8.00 and 1,294 tickets were sold for a total amount of $8,816. We can represent this information as:

[tex]5x+8y=8,816...(2)[/tex]

From equation (1) we will get,

[tex]y=1294-x[/tex]

Substituting this value in equation (2) we will get,

[tex]5x+8(1294-x)=8,816[/tex]

[tex]5x+10352-8x=8,816[/tex]

[tex]-3x+10352=8,816[/tex]

[tex]-3x=8,816-10352[/tex]

[tex]-3x=-1536[/tex]

[tex]x=\frac{-1536}{-3}[/tex]

[tex]x=512[/tex]

Therefore, 512 student tickets were purchased at Fridays football game.

Answer:

Yes there is enough.

Step-by-step explanation:

There is 992 computers, you divide 992 by 90 (90 schools) and you would get 11. There would 11 computers for each school.

Answer:

Yes, there are enough computers.

Step-by-step explanation:

You would take 992 and divide it by 90 which gets you 11. Then for double checking your answer divide 992 by 11 you would get 90. Making everything line up with what the word problem states.

Answer:

1/2 + 1/5 + 4/5 + 2/3 = 19/6=3 1/6

Hope that helps feel free to ask more questions

Brainliest??

Final answer:

Joyce has read 9/10 of her book over the course of three days by adding together the fractions of the book she read each day and simplifying the result.

Explanation:

To determine the part of the book Joyce has read over the three days, we need to add the fractions representing the parts read each day. On Monday, Joyce reads 1/6 of her book, on Tuesday she reads 2/5, and on Wednesday she reads 1/3. Thus, we add these fractions together.

The Least Common Denominator (LCD) for 6, 5, and 3 is 30. We convert each fraction to have this common denominator:

Now, we sum the fractions:

5/30 + 12/30 + 10/30 = (5 + 12 + 10)/30 = 27/30

27/30 can be simplified to 9/10 after dividing both numerator and denominator by 3. So, Joyce has read 9/10 of her book over the three days.

Answer:

x = 7

Step-by-step explanation:

given [tex]\frac{3}{5}[/tex] = [tex]\frac{6}{x+3}[/tex] ( cross-multiply )

3(x + 3) = 30 ( divide both sides by 3 )

x + 3 = 10 ( subtract 3 from both sides )

x = 7

and [tex]\frac{3}{5}[/tex] = [tex]\frac{6}{10}[/tex] ← check

Answer:

3/10

Step-by-step explanation:

Answer:

6.32 cm.

Step-by-step explanation:

We can see that the given glass is in form of a cone.

To find the height of liquid in glass we will use formula:

[tex]h=\sqrt{l^2-r^2}[/tex], where,

h= Height of cone.

l= Slant height of cone.

r= Radius of cone.

We can see from our figure that diameter of cone is 6 cm, so radius of cone will be half of 6 cm, that is 3 cm.

We have been given slant height equals to 7 cm.

Let us substitute our values in above formula to find the height of liquid in the glass.

[tex]\text{Height of liquid in the glass}=\sqrt{7^2-3^2}[/tex]

[tex]\text{Height of liquid in the glass}=\sqrt{49-9}[/tex]

[tex]\text{Height of liquid in the glass}=\sqrt{40}[/tex]

[tex]\text{Height of liquid in the glass}=6.3245553203367587\approx 6.32[/tex]

Therefore, the height of liquid in the glass is 6.32 cm.