Lenny works at Lexus selling cars. His salary is $40,000 a year plus commission. He gets 1.25% commission on the cars he sells. Lexus cars are expensive and cost $50,000 each on average. After a year, Lenny sells $2,500,000 worth of cars. What is Lenny's total income after a year?

Answers

Answer 1

Answer:

$71, 250

Step-by-step explanation:

Given that:

Fixed salary of Lenny = $40,000

Commission on the cars sold by Lenny = 1.25%

Cost of each Lexus car = $50,000

Total worth of which cars are sold by Lenny = $2,500,000

To find:

Lenny's total income after a year?

Solution:

Lenny's salary consists of two parts i.e. Fixed salary and the variable part as per the commission depending upon the sales done by Lenny.

Fixed salary = $40,000

Commission earned = 1.25% of $2,500,000

[tex]\Rightarrow \dfrac{1.25}{100}\times 2500000\\\Rightarrow \$31,250[/tex]

Therefore, Lenny's total salary after a year = $40,000 + $31,250 = $71, 250


Related Questions

Use the​ slope-intercept form to graph the equation y=5/4x-1

Answers

Answer:

m = 5/4

(0,-1),(4/5,0)

Join the dots to obtain the graph!


A force of 84N is applied to an area of
15cm". Work out the pressure in N/cm².
cm3)

Answers

Answer:  5.6 N/cm^2

============================================

Work Shown:

Pressure = (Force)/(Area)

P = F/A

P = (84 N)/(15 cm^2)

P = (84/15) (N/cm^2)

P = 5.6 N/cm^2

For every square cm, 5.6 newtons of force is applied.

-------------

Extra info:

If you wanted to convert this to pascals, then you would need to convert 15 cm^2 to 0.0015 square meters. Then apply the formula above to get 56,000 pascals. 1 pascal is equivalent to 1 N/m^2.

find the gcf 24 and 72. 16 and 18​

Answers

Answer:

for 24 and 72 its 24 for 16 and 18 it is 2

Step-by-step explanation:

Springboard Geometry Chapter 21 Mid-Unit Assessment
A carpenter leans a 20-tootador against a butang so
that an angle of 60' is formed between the door and
the ground. How many toet away from the building is
the bottom of the ladder
A
10
B
10v5n
С
2011
D
O A

Answers

I really don't know just say its o

free answers if u want

Answers

Answer:

Thank you so much!!!

Step-by-step explanation:

Answer:

thanks!!

Step-by-step explanation:

Donald is the CEO of a company and earns three times as much as the combined salary of his two vice presidents, Susan and Kurt. If Susan earns s and Kurt earns k, then how much does Donald earn in terms of s and k?

Answers

Answer:

Donald earnings = 3(s + k)

Step-by-step explanation:

Susan earnings = s

Kurt earnings = k

Combined salary = s + k

Donald earns earns three times as much as the combined salary of his two vice presidents,

Donald earnings = 3(s + k)

= 3s + 3k

A grain silo is a cylinder with a hemisphere on top. In the Happy Farms grain silo, the height of the cylindrical portion is 30 feet. The radius is 10 feet. The volume of a cylinder is given by V = πr2h.

1. How can you find the volume of a hemisphere?

2. What is the volume of the hemisphere? Show your work.

3. What is the volume of the cylinder? Show your work.

4. What is the total volume of the grain silo? Explain how you found your answer.

Answers

Answer:

1) The volume of a hemisphere of radius R is equal to half the volume of a sphere of radius R.

Where the volume of a sphere of radius R is:

V = (4/3)*pi*R^3

In this case, the radius is R = 10ft

And pi = 3.14

2) Now we can just solve that equation to get:

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

Where the (1/2) comes because the volume of the hemisphere is half the volume of a complete sphere, as we already said above.

4) We know that the volume of a cylinder is:

V = pi*(r^2)*h

where:

pi = 3.14

r represents the radius. The radius of the cylinder will be the same as the radius of the hemisphere, then r = 10ft

h is the height of the cylinder, in this case, h = 30ft

Then the volume is:

V = 3.14*(10ft)^2*(30ft) = 9,420 ft^3

The total volume is equal to the sum between the volumes of the cylinder and the volume of the hemisphere.

Then the total volume is:

Volume =  9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Answer:

1. How can you find the volume of a hemisphere?

The volume of a hemisphere is half the volume of a sphere. The volume of a sphere is equal to V = (4/3)*pi*R^3

2. What is the volume of the hemisphere? Show your work.

V = (4/3)*pi*R^3

We can substitute pi for 3.14 and R for 10, and since we are finding the volume of a hemisphere, we divide by 2.

V = (1/2)*(4/3)*3.14*(10ft)^3

V = (1/2)*(4/3)*3.14*(10ft)^3 = 2,093.33 ft^3

3. What is the volume of the cylinder? Show your work.

The volume of the cylinder is 9,420ft^3

3.14*(10^2)*30=9,420

4. What is the total volume of the grain silo? Explain how you found your answer.

The total volume is 11,513.33 ft^3.

9,420 ft^3 + 2,093.33 ft^3 = 11,513.33 ft^3

Is RS perpendicular to DF? Select Yes or No for each statement. R (6, −2), S (−1, 8), D (−1, 11), and F (11 ,4) R (1, 3), S (4,7), D (3, 9), and F (15, 0) R (−5, −5), S (0, 2), D (8, 3), and F (1, 8)

Answers

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

What is the direct variation equation for the chart? Please show all of your work!
Х
y
8
2
16
4
24
6
32
8

Answers

Answer:

Hope it helps u

Step-by-step explanation:

y∝ x

y=k*x

k=y/x

now putt the first point x=8 and y=2

we get   k=2/8 =1/4

and also putt 2nd point ,

x=16,y=4 we get   k=1/4 and similarly for 3rd and 4th point we also get k=1/4

hence the direct variation , equation become for all is same, that is

y=(1/4)x

Simplify: 3(2a + b) - 5(a – 3b)

Answers

I think it’s a+18b
I’m not sure but hope it’s right

For which would you draw a solid boundary line and shade to the right?


x ≤ -3



x > -3


x ≥ -3



x < -3

Answers

Answer:

x ≤ -3

Step-by-step explanation:

For solid lines you would do ≤ or ≥, then for shading on the right side you would need < or ≤

A fruit basket is filled with 888 bananas, 333 oranges, 555 apples, and 666 kiwis. For every 333 kiwis, there are 444 \_\_\_\_____\_, \_, \_, \_. Choose 1 answer: Choose 1 answer: (Choice A) A Bananas (Choice B) B Oranges (Choice C) C Apples

Answers

Answer:

A. Bananas

Step-by-step explanation:

Bananas = 8

Oranges = 3

Apples = 5

Kiwis = 6

For every 3 kiwis, there are 4 ______

Kiwi : bananas = 6 : 8

6 : 8 = 6/8

= 3 / 4

= 3 : 4

Kiwi : oranges = 6 : 3

= 6 / 3

= 2 / 1

= 2 : 1

Kiwi : apples = 6 : 5

For every 3 kiwis, there are 4 bananas

A. Bananas

HELP QUICKLY!!
Tell whether the sequence is arithmetic. If it is, what is the common difference?
-19.-11, -3,5,...
Oyes; 5
Oyes; 6
Oyes; 8
Ono

Answers

Answer:

the answer to this sequence is that: u count the difference between 19 and 11 , which is 8.

again try to see if the difference is same between 11 and 3, which is again 8.

so the commin difference in this sequence is = 8

Find the smallest value of k such that the LCM of
k and 6 is 60

Answers

Answer: The smallest valuest value for k is 10, such that LCM of k and 6 is 60.

Step-by-step explanation:

We know that, LCM = Least common multiple.

For example : LACM of 12 and 60  is 60.

If LCM of k and 6 is 60.

i.e. the least common multiple of k and 6 is 60.

Since, 10 x 6 = 60.

The smallest valuest value for k should be 10, such that LCM of k and 6 is 60.

Hence, the smallest value of k is 10.

Arthur travels for 3 hours on the freeway. His average speed is 55 mi/hr. How far does he travel?

Answers

Answer:

He travels 165 miles

Step-by-step explanation:

3 × 55=165
165 miles is the answer

If f'(x)=3x^2+2x and f(2)=3 then f(1)=
helppppp

Answers

Answer:

[tex]f(1)=-7[/tex]

Step-by-step explanation:

We are given the derivative:

[tex]f^\prime (x) = 3 x^2 + 2x[/tex]

And the initial condition that f(2)=3.

And we want to find f(1).

So, to find our original function f(x), we will find the antiderivative of f'(x). Hence:

[tex]\displaystyle f(x)=\int f^\prime(x)\, dx=\int3x^2+2x\, dx[/tex]

By integrating, we acquire:

[tex]f(x)=x^3+x^2+C[/tex]

Since we know that f(2)=3:

[tex]3=(2)^3+(2)^2+C[/tex]

It follows that:

[tex]C=-9[/tex]

Therefore, our function is given by:

[tex]f(x)=x^3+x^2-9[/tex]

Therefore:

[tex]f(1)=(1)^3+(1)^2-9 = -7[/tex]

Here we want to solve a differential equation, we will find that our function is f(x) = x^3 + x^2 -9

Solving the differential equation.

So we want to find f(x) such that we know f'(x).

We know that:

f'(x) = 3x^2 + 2x

To get f(x) we just need to integrate, we will get:

[tex]f(x) = \int\limits {3x^2 + 2x} \, dx = x^3 + x^2 + c[/tex]

Where c is a constant of integration.

Now, we know that f(2) = 3, with that we can find the value of c.

f(2) = 2^3 + 2^2 + c = 3

          8 +  4 + c = 3

          c = 3 - 12 = -9

So the function is:

f(x) = x^3 + x^2 -9

If you want to learn more about differential equations, you can read:

https://brainly.com/question/18760518

write the sentence as an inequality. thirteen is at least the difference of a number v and 1.

Answers

Answer:

v - 1 ≥ 13.

Step-by-step explanation:

'is at least' is written as ≥ ( greater or equal to).

v - 1 ≥ 13.

thank you so much for you help​

Answers

Your welcome for the help

How do you find the average rate of change for f(x)=9-x^2 between two points: x=0 to x=3?
Please I have a final tomorrow and I’m clueless

Answers

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

[tex]f(x)=9-x^2[/tex]

And we want to find the average rate of change from x = 0 to x = 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at x = 0, our function evaluates to:

[tex]f(0)=9-(0)^2=9[/tex]

So, our first point is (0, 9).

For our second endpoint at x = 3, our function evaluates to :

[tex]f(x)=9-(3)^2=0[/tex]

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

[tex]\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3[/tex]

A mystery number minus 6 gives you a result of 10. What is the mystery number?

Answers

The mystery number is 16 because 16 - 6 = 10.

help wklsksbsbkskakksjs​

Answers

Answer:

402

Step-by-step explanation:

Identify the equation that describes the line in slope-intercept form.

slope =−2, point (−4,3) is on the line
answer choice
y = −2x + 5
y = −2x + 3
y = −2x + 11
y = −2x − 5

Answers

Answer y-2x+5 or it will be y=-2x+11

Step-by-step explanation:

Answer:

I have

Step-by-step explanation:

No idea i just need points sorry wyatt

A spinner is evenly divided into red, yellow, blue, green and orange sections. What is the probability of spinning a yellow?

Answer (round) to the hundredth place value.

Answers

The answer is 0.25 percent chance

Answer:

The probability of spinning a yellow is 0.20

Step-by-step explanation:

red= 20%

yellow= 20%

blue=20%

green=20%

orange=20%

20%=0.20

Helpppppppppppppppppppppppppppp

Answers

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

10.5x - 1.9 = 19.1

Step 2: Solve for x

Add 1.9 to both sides:                    10.5x = 21Divide 10.5 on both sides:             x = 2

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                     10.5(2) - 1.9 = 19.1Multiply:                                21 - 1.9 = 19.1Subtract:                               19.1 = 19.1

Here we see that 19.1 does indeed equal 19.1.

∴ x = 2 is a solution to the equation.

The total cost of one appetizer and four meals is $89. The price of the appetizer is $9 and each meal is the same price as m. What is the price of one meal? M = ?

Answers

Answer:

$20

subtract 9 from 89 beacuse we need to find how much is 1 meal and the 9 represents 1 appetizer

89-9=80

since there are 4 meals divide 80 by 4

80÷4= 20

and u get $20 per meal

Step-by-step explanation:

The cost of an appetizer = 9

The cost of a meal = m

The cost of an appetizer and 4 meals = 9 + 4(m) = 89

4m +9 = 89         Your equation, solve for m

4m - 9 + 9 = 89 - 9    Bring the constants to one side

4m = 80               Simplification

4m/4 = 80/4         isolating the variable

m= 20                  Your answer!!!

A meal costs 20 dollars

I hope this helps!!!

If you wanted to check the answer...

Do the same thing but substitute for m

4 (20) + 9 = 89

80 + 9 = 89

89 = 89

The answer should be correct

Have a nice day!!!

CAN SOMEONE HELP ME ASAP??? THANK YOU.

Answers

Answer:

D- two more than a number multipled by seven

Step-by-step explanation:

brainiest?

you have to do what the equation says to solve the equation! good luck!

You buy 3.19 pounds of oranges​, 1.45 pounds of peaches​, and 1.88 pounds of apples. What is your total​ bill?

Answers

Answer i dont know the amount of the items

Step-by-step explanation:

give us the amount of them please

Yolanda is saving money to buy a bike. She has $63 and is going to save an additional $9 each week. The bike costs $198. In how many weeks will she have
enough money to buy the bike?

Answers

Answer: 15 weeks

Step-by-step explanation:

198-63=135

135/9=15

PLEASE HELP,, MARKING BRAINLIEST!!!

Given coordinates N(-1,-11) and P(-1,-3), find NP?

Answers

Answer:

its 8 units long

Step-by-step explanation:

since x is the same we dont have to do much since its a straight line up and down

find the difference in the ys

-11 - -3 = -8

8 units long

hope this helps <3

7th grade math help me please :)

Answers

Answer:

$288

Step-by-step explanation:

16+8=24

$24 per book

24 x 12 = 288

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