A car dealer earns a 4% commission on all cars sold. Last month, he earned $7,200 in commission. He wants to earn $8,000 in commission this month. What increase in total sales does he need in order to reach his goal for this month?

Answers

Answer 1

Answer:

$800 is the answer because you subtract 7200 from 8000 and you get 800

Answer 2

Final answer:

To earn an $8,000 commission at a rate of 4%, the car dealer needs to increase his total sales by $20,000, from $180,000 last month to $200,000 this month.

Explanation:

The car dealer wishes to increase his commission from $7,200 to $8,000. Since he earns a 4% commission on all cars sold, we first need to determine how much his sales were last month. To do this, we divide his commission for the last month by the commission rate:

Last month's sales = Commission / Commission rate = $7,200 / 0.04 = $180,000

To earn $8,000 this month, we need to find the total sales required:

This month's sales = Desired commission / Commission rate = $8,000 / 0.04 = $200,000

To find the increase in total sales needed, we subtract last month's sales from this month's sales target:

Required increase in sales = This month's sales - Last month's sales = $200,000 - $180,000 = $20,000


Related Questions

determine two numbers that have a sum of 12 but a difference of 12

Answers

Answer:

0 And 12

Step-by-step explanation:

0 + 12 = 12

But 0 is 12 away from 12. hope i helped :)

Answer:

0 and 12

Step-by-step explanation:

0+12=12

12-0=12

if sin (a+b)=k sin (a-b) prove that (k-1)cotb =( k+1) cota

Answers

Answer:

Proof

Step-by-step explanation:

Recall the identity [tex]\sin(a \pm b) = \sin(a)\cos(b) \pm \cos(a)\sin(b)[/tex].

Consider [tex]\sin(a + b) = k\sin(a - b)[/tex]. We firstly apply the above identity to reach

[tex]\sin(a)\cos(b) + \cos(a)\sin(b) = k(\sin(a)\cos(b) - \cos(a)\sin(b))[/tex].

By expanding the bracket on the right we obtain

[tex]\sin(a)\cos(b) + \cos(a)\sin(b) = k\sin(a)\cos(b) - k\cos(a)\sin(b)[/tex] and so

[tex]\cos(a)\sin(b) + k\cos(a)\sin(b) = k\sin(a)\cos(b) - \sin(a)\cos(b)[/tex] and so

[tex](1+k)\cos(a)\sin(b) = (k-1)\sin(a)\cos(b)[/tex] and so

[tex](k+1)\frac{\cos(a)}{\sin(a)}= (k-1)\frac{\cos(b)}{\sin(b)}[/tex] and finally

[tex](k+1)\cot(a)= (k-1)\cot(b)[/tex].

Final answer:

Using the sum and difference identities for sine, we can manipulate the equation sin(a+b) = k sin(a-b) to prove the trigonometric identity (k-1)cotb = (k+1)cota as required.

Explanation:

To solve the given trigonometric identity, we must show that if sin(a+b) = k sin(a-b), then (k-1)cotb = (k+1)cota. First, let's utilize the sum and difference identities for sine:

sin(a+b) = sin(a)cos(b) + cos(a)sin(b)

sin(a-b) = sin(a)cos(b) - cos(a)sin(b)

Substitute these into the original equation:

sin(a)cos(b) + cos(a)sin(b) = k(sin(a)cos(b) - cos(a)sin(b))

Now, distribute the k on the right side and arrange terms:

sin(a)cos(b)(1-k) = cos(a)sin(b)(1+k)

Divide both sides by sin(b)cos(b) to isolate cot(a) and cot(b):

(1-k) cot(b) = (1+k) cot(a)

This proves the identity as required. Notice that the cotangent function is the reciprocal of the tangent function, which is the ratio of sine to cosine.

What is a positive number that equals 30 when added to it squared

Answers

Answer: 5

Step-by-step explanation:

Let x represent the number, then

x² + x = 30

x² + x - 30 = 0      

(x + 6) (x - 5) = 0

x + 6 = 0   x - 5 = 0

 x = -6        x = 5

    ↓

not valid since the restriction is that x > 0 (a positive number)

So, x = 5

A jogger is going running in a rectangular park that is 28 meters by 96 meters. Starting from where jogger's car is parked in the southeast corner, the jogger runs west along the width of the park and then north along the length. When the jogger reaches the northwest corner, she takes a shortcut straight back to her car. How far does the jogger run in all?

Answers

Final answer:

The jogger runs a total distance of 224 meters, which includes running along the width and length of the park and taking a shortcut diagonally across the park.

Explanation:

To calculate the total distance the jogger runs, we must add the distances from each leg of the jogger's path. Starting from the southeast corner, the jogger runs the width of the park (28 meters) to the west, and then the length of the park (96 meters) to the north, reaching the northwest corner. The shortcut from the northwest corner directly back to the southeast corner, where her car is parked, is the hypotenuse of the resulting right-angled triangle. To find the length of this hypotenuse, we use the Pythagorean theorem (a² + b² = c²), where the sides of the rectangle serve as 'a' and 'b'.

Let's calculate the hypotenuse:

a = 28 m (width)

b = 96 m (length)

c = √(a² + b²) = √(28² + 96²)

c = √(784 + 9216)

c = √10000

c = 100 m

Now, we sum up all the distances:

28 m (west along the width)

96 m (north along the length)

100 m (shortcut diagonally)

Total distance = 28 m + 96 m + 100 m = 224 meters

State the domain and range of the following function. {(2,3), (7,9), (4,-7), (6,2), (3,-5)}

Answers

Answer:

Domain: {2,3,4,6,7}

Range: { -7,-5,2,3,9}

Step-by-step explanation:

The domain is the input, or x, values.

The range is the output, or y, values.

They are normally written from least to greatest.

Answer:

Domain: 2,3,4,6,7

Range: -7,-5,2,3,9

Step-by-step explanation:

hope this helps :)

Can you help me solve that

Answers

Answer:2.6



Step-by-step explanation:

Use your graphing calculator of you have one and if you don't you can find one online and plug in the equation and find the intersection . If you get 2.5571 round it to the nearest tenth and you should get 2.6


Answer:2.6



Step-by-step explanation:

Use your graphing calculator of you have one and if you don't you can find one online and plug in the equation and find the intersection . If you get 2.5571 round it to the nearest tenth and you should get 2.6


Apply distributive property to factor out the GCF

27+18r=

Answers

Answer: 9(3 + 2r)

Step-by-step explanation:

      27                     18r

       ∧                       ∧

    3  9                    2  9r

         ∧                         ∧

        3  3                     3 3r

27: 3 * 3 * 3

18r: 2 * 3 * 3 * r

Common Factors are 3 * 3 = 9

27: 9 * 3

18: 9 * 2r

27 + 18r  =  9(3 + 2r)

FIRST TO ANSWER CORRECTLY IS BEING MARKED BRAINLIEST.Tanner has 30 stickers .he puts 6 stickers on each page.on how many pages does he put stickers on?

Answers

Answer:

5 pages

Step-by-step explanation:

30 sticker and 6 stickers on each page

30 divided by 6 = 5

Answer:

He puts stickers on 5 pages.


What is the missing number in the synthetic division problem below?

Answers

Answer:

D. 7

Step-by-step explanation:

In synthetic division, the first # in the division bracket (2)  is dropped, and the number outside the bracket is multiplied with it to find 4. Then, -2 and 4 are added to get 2. Again, 2 x 2=4. 3+4=7.

Simplified version: Drop, multiply, add, multiply, add till you reach the last term.


Final answer:

The synthetic division problem hasn't been stated in this query, making it impossible to ascertain the missing number. Synthetic division is a mathematical methodology used to simplify polynomial division by binomial. The correct problem should be offered for accurate guidance.

Explanation:

Unfortunately, the provided synthetic division problem was not included in your question so I'm unable to solve for the missing number. In general, synthetic division is a method used in algebra to divide a polynomial by a binomial. I would suggest you to verify the problem and restate your question providing all necessary details. Then I would gladly help you solve the missing number in the synthetic division.

Learn more about Synthetic Division here:

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List the first 5 multiples,and find ALL the factors of 13.

Answers

13, 26, 39, 52, 65

1,13 (because its a prime number)

You know the slope of a line and a point on the line that is not the y-intercept. Can you use a graph to write the equation of the line in slope-intercept form? Explain.

Answers

sure you could as long as you have the point.

for example let's say the slope is 2 and the point we are given is (4,4)

we know that:
[tex]y = mx + b[/tex]
plug in the values given
x=4
y=4
m=2

[tex]4 = 2(4) + b[/tex]
b, the y intercept equals -4.

so:

[tex]y = 2x - 4[/tex]
in this case

Use a common denominator to write an equivalent fraction for each fraction 1/6 , 1/9

Answers

Answer:

1/6 = 3/18

1/9 = 2/18

Step-by-step explanation:

The common denominator for 6 and 9 is the smallest number that they both go into, which is 18.  We need to multiply 6 by 3 to get 18 and multiply 9 by 2 to get 18

1/6 *3/3 = 3/18

1/9 *2/2 = 2/18

Answer:

the pair would be 3/18 and 2/18

What is BC?
Enter your answer in the box?

Answers

Answer:

18

Step-by-step explanation:

Since this is an isosceles triangle, sides AB and sides AC are equal

AB=AC

8x-4 = 5x+11

Subtract 5x from each side

8x-5x-4 = 5x-5x+11

3x-4 = 11

Add 4 to each side

3x-4+4 = 11+4

3x=15

Divide by 3

3x/3 =15/3

x=5


We want to find BC

BC= 4x-2

Since x=5

BC = 4(5) -2

BC = 20-2

BC =18

11/12− 1/6q+5/6q−1/3

Answers

Answer:

16/12 = 1 4/12 or 1 2/6

Step-by-step explanation:

Eliza travels 6 times as many minutes to school as ricky does.Altogether,they travel 63 minutes each day.How many minutes does Eliza travel?

Answers

Answer:

Eliza travels 54 minutes.

Step-by-step explanation:

Let's use the variable r to represent the number of minutes Ricky travles to school.

Eliza travels 6 times as many minutes as Ricky, so Eliza travels 6r minutes.

Altogether, they travel r + 6r minutes, or 7r minutes.

We are told they travel 63 minutes altogether, so 7r must equal 63.

7r = 63

Divide both sides by 7.

7r/7 = 63/7

r = 9

Ricky travels 9 minutes.

Eliza travels 6r minutes.

6r = 6 * 9 minutes = 54 minutes

Eliza travels 54 minutes.


Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding the length of the directed line segment?

The ratio given is part to whole, but fractions compare part to part.
The ratio given is part to part. The total number of parts in the whole is 3 – 1 = 2.
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
The ratio given is part to whole, but the associated fraction is .

Answers

Answer:

Third choice "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4." is the correct answer.

Step-by-step explanation:

We know that partitioning a directed line segment into a ratio of 1:3 means that we are dividing the given line segment into two parts whose first part is 1 times the of some quantity while the another part is 3 times of the same quantity. So basically we are comparing part to part in by ratio. And total number of parts in the whole will be just sum of both so we get 1+3=4

Hence choice (3) is correct answer.

"The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."

Answer:

it is C

The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4." is the correct answer.

Kyle has entered into a 5k marathon (5 kilometers). He wanted to figure out how many miles are in the marathon. If there are 1000 meters in 1 kilometer, and 1 mile equals approximately 1609.34 meters, how many miles will Kyle run in the marathon? Round your answer to the nearest hundredth place.

Answers

Answer:

3.10 miles

Step-by-step explanation:

1k = 0.62 miles

5x.62= 3.10



Final answer:

Kyle will run approximately 3.11 miles in a 5K marathon. This calculation is performed by first converting the 5K race distance into meters and then into miles, rounding the result to the nearest hundredth place.

Explanation:

The subject of this question is conversions between different units of distance, specifically kilometers to miles. To help Kyle with this, first, we need to convert the kilometers into meters. Since 1 kilometer equals 1000 meters, therefore, 5 kilometers will be 5000 meters.

Then, remembering that 1 mile is approximately 1609.34 meters, we can divide the total meters by the conversion factor for meters to miles. Therefore, the conversion from meters to miles is as follows: 5000 meters / 1609.34 meters/mile = 3.11 miles.

So, if Kyle is running a 5K marathon, he will be running approximately 3.11 miles. This answer has been rounded to the nearest hundredth place as per your instructions.

Learn more about unit conversion here:

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(x-2)(3x+4) destributive property

Answers

Answer:

FOIL IT:

First multiply the first terms in each parenthesis.

Outside is next. You multiply the terms on the outer edges of each parenthesis.

Inside is next. Multiply the terms on the inside edge of each parenthesis.

Last: Multiply last terms in each parenthesis.

YOU GET:

3x^2 - 2x - 8

Over time the value at property on 397 west lake street increased by 275. If the initial value of the property was p which expression represents the property current value? A) 375p B) 275p C) 3.75p D) 2.75p

Answers

Answer:

b

Step-by-step explanation:

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Initial value of the property = P

Rate of growth = 275%

So, we need to find the property's current value:

We will use "compound interest ":

Father gave me some money. I could choose between 15% of 1,500$ or 25% of 1,000$. Which amount did I choose

Answers

Answer:

25% of 1000 > 15% of 1500

Step-by-step explanation:

Lets calculate how much money you could receive

15% of 1500

.15 * 1500 = 225


25% of 1000

.25*1000 = 250


250>225

Final answer:

After calculating 15% of $1,500 and 25% of $1,000, it is evident that choosing the latter provides more money, amounting to $250 compared to $225 from the former option.

Explanation:

Choosing between percentages of different amounts involves straightforward arithmetic. To determine which option gives you more money, calculate the numerical value of each percentage. Option one is 15% of $1,500, which can be calculated as follows:

Convert the percentage to a decimal: 15% = 0.15.

Multiply the decimal by the total amount: 0.15 x $1,500 = $225.

Option two is 25% of $1,000:

Convert the percentage to a decimal: 25% = 0.25.

Multiply the decimal by the total amount: 0.25 x $1,000 = $250.

Now, compare the two amounts: $225 from the first option and $250 from the second option. It is clear that you would receive more money by choosing the 25% of $1,000, as it gives you a total of $250 compared to the $225 from the first option.

0.1406250 to the nearest 10th

Answers

Answer:

0.1

Step-by-step explanation:


0.1 will be the right answer because If the number is in between 0-4 you don’t add anything but if the number is in between 5-9 you add 1 to it

[30 POINTS] An automobile steering wheel is shown. The ideal mechanical advantage of this wheel and axle = _____ .

Answers

The mechanical advantage is found by dividing Rw by Ra:


Mechanical advantage = 18 / 2 = 9

Answer:


Step-by-step explanation:

so it is basically nine


Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. How many gallons can Joe's tank hold?

Answers

Answer:

Amount of gas that can be hold by Joe's tank = 16 gallons.

Step-by-step explanation:

Given that Joe's gas tank is 1/4 full. After he buys 6 gallons of gas, it is 5/8 full. Now we need to find about how many gallons can Joe's tank hold.

So let's find change that happened after filling the gas.

Change = (5/8 full) - (1/4 full)

Change = (5/8 - 1/4)  full

Change = (5/8 - 2/8)  full

Change = (5 - 2)/8  full

Change = 3/8  full

So that means 3/8 full happens in 6 gallons

then 1 full will happen in 6/(3/8) gallons = 6*(8/3) gallons = 48/3 gallons = 16 gallons

So the amount of gas that can be hold by Joe's tank = 16 gallons.

One hot Saturday, Richard scooped 234 regular cones and 156 large cones. One scoop of ice cream is 3 ounces. A tub of ice cream weighs 10 pounds. How many tubs of ice cream did Richard use to make the cones?

Answers

Answer:

18

Step-by-step explanation:

The total number of scoops of ice cream that Richard got from the tub is,

  (234 regular cones) x (2 scoops / 1 regular cone) + (156 large cones) x (2 scoops / 1 large cone) = 936 scoops


Given that each scoop weighs 3 ounces, the total weight of the ice cream is 2808 ounces. For the number of tubs,

         (2808 ounces) x (1 lb / 16 ounces) x (1 tub /10 lb) = 17.55

Thus, the answer is 18. 


Hope this helped!

plz help look at the Picture thanks so much for the Help

Answers

The amount of the markup is 20% of 25.15

EQUATION 1: 20/100 * 25.15

ANSWER TO EQUATION 1: 503/100

Then we have divide 503 and 100

EQUATION 2: 503/100

FINAL ANSWER: $5.03

The amount of the markup is $5.03

Dan borrowed $750.00 from his brother with a 5% simple interest. If Dan pays his brother back in 6 months, how much does he have to pay back including the interest?

Answers

Answer:

$780

Step-by-step explanation:

The initial sum of money borrowed was $750


at a simple interest rate of 8%


Dan pays the money back in 6 months



The amount of money Dan has to pay back his brother including the interest in 6 months' time.



The total amount accrued, principal plus interest, from simple interest on a principal of $750 at a rate of 8% per year for 6 months is $780.



The total interest that is to be paid back can be calculated using the formula



where P is the prinicipal amount of money we begin with (in this case $750), r is the rate of interest (in this case 8%) and t is the time period (in this case, 6 months or 1/2 of a year).


(Note that we must take the value of t in years if the interest is annual interest and that is why we use t = 1/2 = 0.5 instead of t = 6).


So, by simple calculation we can find interest to be paid as



the interest accrued is $30


To find the total sum to be paid back, we add the initial sum or pricipal amount to the interest we have calculated above i.e.,



the total amount accrued, principal plus interest, from simple interest on a principal of $750 at a rate of 8% per year for 6 months is $780.



how can you tell which quadrant a point is in by looking at the signs of its coordinates

Answers

Answer:

In quadrant I   x is positive , y is positive

In quadrant II   x is negative , y is positive

In quadrant III   x is negative , y is negative

In quadrant IV  x is positive , y is negative

Step-by-step explanation:

In quadrant I   x is positive , y is positive

In quadrant II   x is negative , y is positive

In quadrant III   x is negative , y is negative

In quadrant IV  x is positive , y is negative


How I remember, I and II quads have a positive y

                             I and IV quads have a positive x

According to the real rational root theorem, what are all the potential rational roots of f(x)=5x3-7x+11

Answers

Answer:

x = -11, -11/5, -1, -1/5, 1/5, 1, 11/5,11

Step-by-step explanation:

The general formula for a third-degree polynomial is

f(x) = ax³ + bx² + cx + d

Your polynomial is  

f(x) = 5x³ + 7x + 11

a = 5; d = 11

p/q = Factors of d/Factors of a

Factors of d = ±1, ±11

Factors of a = ±1, ±5

Potential roots are x = ±1/1, ±1/5, ±11/1, ±11/5

Putting them in order, we get the potential roots

x = -11, -11/5, -1, -1/5, 1/5, 1, 11/5, 11

(There are no rational roots. There is one irrational root and two imaginary roots.)

Find an equivalent ratio for the ratio 4 : 5.



400/500
10 : 12
48 to 60
20/30

Answers

If you multiply by 100 you will get the first answer, 400/500. Remember that in order for a ratio to be equivalent you should be able to multiply or divide (NOT add or subtract) by the same number to both numbers.

Answer:

400/500

48 to 60

both  are correct

Step-by-step explanation:

4/ 5

Multiply top and bottom by 100

4*100/ 5* 100 =400/500

400:500

4/5  

Multiply top and bottom by 12

4/5 * 12/12 = 48/60

we can rewrite as 48:60

what is the value of x in the diagram below ?

Answers

Answer:

x = 9

Step-by-step explanation:

12^2 + a^2 = 54^2

a^2 = 54^2 - 12^2

a = sqrt (54^2 - 12^2) = 6 * sqrt(77)

Then calculate it for another triangle, where each side is 6 times shorter (as 12/2 = 6):

2^2 + (sqrt(77))^2 = x^2

x^2 = 81

x = 9

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