1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkasestr [34]
3 years ago
11

The surf instructor has an initial fee of $12 and charges $8 per hour for lessons, which is represented by the equation y = 8x +

12, where x is the number of hours and y is the total cost. The instructor gives 32 hours of lessons a month to Sandra and 24 hours of lessons a month to Bela. What is the total amount the instructor makes in a month?
Sandra: y = 8 (32) + 12. y = 256 + 12. y = 268. The instructor receives 268 dollars a month from Sandra.
Mathematics
2 answers:
Alex_Xolod [135]3 years ago
4 0

Answer:

Step-by-step explanation:

Y=8(32)+12

Y=256+12

Y=268 (Sandra)

Y=8(24)+12

Y=192+12

Y=204 (Bela)

204+268=472

He earns $472/month

kozerog [31]3 years ago
3 0

Answer:

It's $472

Step-by-step explanation:

You might be interested in
Find a particular solution to the nonhomogeneous differential equation y??+4y?+5y=?10x+e^(?x).
Firdavs [7]

Answer:

A) Particular solution:

2x+\frac{1}{2}e^{-x}-\frac{8}{5}

B) Homogeneous solution:

y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))

C) The most general solution is

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

Step-by-step explanation:

Given non homogeneous ODE is

y''+4y'+5y=10x+e^{-x}---(1)

To find homogeneous solution:

D^{2}+4D+5=0\\D^{2}+4D+4-4+5=0\\\\(D+2)^{2}=-1\\D+2=\pm iD=-2 \pm i\\y_{h}=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))---(2)

To find particular solution:

y_{p}=Ax+B+Ce^{-x}\\\\y'_{p}=A-Ce^{-x}\\y''_{p}=Ce^{-x}\\

Substituting y_{p},y'_{p},y''_{p} in (1)

y''_{p}+4y'_{p}+5y_{p}=10x+e^{-x}\\Ce^{-x}+4(A-Ce^{-x})+5(Ax+B+Ce^{-x})=10x+e^{-x}\\

Equating the coefficients

5Ax+2Ce^{-x}+4A+5B=10x+e^{-x}\\5A=10\\A=2\\4A+5B=0\\B=-\frac{4A}{5}B=-\frac{8}{5}2C=1\\C=\frac{1}{2}\\So,\\y_{p}=2x+\frac{1}{2}e^{-x}-\frac{8}{5}---(3)\\

The general solution is

y=y_{h}+y_{p}

from (2) ad (3)

y=e^{-2x}(c_{1}cos(x)+c_{2}sin(x))+2x+\frac{1}{2}e^{-x}-\frac{8}{5}

6 0
2 years ago
How are adding integers and subtracting integers related
Tanzania [10]
Well they both have integers in it there the same thing except your adding and subtracting. <span>Subtraction is the same thing as adding the opposite of the number. </span>
8 0
3 years ago
Chad earns $4 each day walking his neighbor's dog. He spends $8 purchasing dog treats
Masja [62]
3 days they with both have 4 dollars
6 0
2 years ago
Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operatio
Lubov Fominskaja [6]

Answer:

The answer is below

Step-by-step explanation:

The next step to solve the system, would be to divide the second row by 3 and we would be left with:  3 * R2

[1 -5 3 0 -2

0 1 -7/3 0 4/3

0 0 1 2 -2]

Then what we will do is multiply row 3 by 7/3 and then subtract it from row 2, that is, R2 - 7/3 * R3, and it would look like this:

[1 -5 3 0 -2

0 1 0 14/3 -10/3

0 0 1 2 -2]

And these would be the next two steps in the process of solving the system.

4 0
3 years ago
Find the number whose arithmetic square root is 0.6
slavikrds [6]

Answer: 0.36

Step-by-step explanation:

6/10 x 6.10= 36/100

5 0
2 years ago
Other questions:
  • A pencil cup is a cylinder made of plastic with one base missing. The cup is 5 inches tall and has a radius of 1.75 inches. Appr
    6·1 answer
  • In mixed fractions, which fraction is equivalent to 16/3
    8·2 answers
  • What is the volume of the cylinder shown? (Use 3.14 for π .) the height is 21 in and half the diameter is 15 .
    11·1 answer
  • At the end of October,Mr.Diamond had a balance of $367.38 in his checking account.Since then,he had written two checks for $136.
    10·2 answers
  • Glowmart marked down it's stock 32%. What will be the sale price of a $60 jacket​
    6·2 answers
  • Pracuco shoot #2
    6·1 answer
  • Find the coordinates of H' after a reflection across the parallel lines; first across y = -2 and then across y = 2. Answer in fo
    11·1 answer
  • Sara wants to add 0.35 to 1/2 using fractions. Which fraction can she use for 0.35?
    5·1 answer
  • A cube side length measures 15 inches what is the surface area of a cube
    14·1 answer
  • The two lines represent the distance traveled by Noah and Diego. Which person is running more quickly? Explain how you know.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!