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
Ganezh [65]
3 years ago
7

Tan's electricity bill for the month of August was $267.00.His September bill showed a 2% increase from his August bill. In Octo

ber, his bill decreased 8% from the amount he was billed in August. How much did Tan spread on electricity over the three-month period
Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

Answer:

Total amount spread on electricity in three months is $784.98.

Step-by-step explanation:

Tan's electricity bill for the month of August was $267.00.

It is given that the September bill showed a 2% increase from his August bill.

Increase in electricity bill is 2% of $267.00.

\frac{2}{100}\times 267=5.34

The electricity bill for the month of September is

267.00+5.34=272.34

It is given that in October, his bill decreased 8% from the amount he was billed in August.

decrease in electricity bill is 8% of $267.00.

\frac{8}{100}\times 267=21.36

The electricity bill for the month of October is

267.00-21.36=245.64

Total amount spread on electricity is

Total=267.00+272.34+245.64=784.98

Therefore total amount spread on electricity in three months is $784.98.

You might be interested in
3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

3r^2-6r+6=0\iff r^2-2r+2=0

which has roots at r=1\pm i. This admits the two fundamental solutions

y_1=e^x\cos x
y_2=e^x\sin x

The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

and so

u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
u_2=\dfrac13x

Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x
7 0
3 years ago
Convert 0.9 cm into m
Whitepunk [10]

<em>Answer is 0.009 </em>

<em></em>

0.9 ( 0.01 m / cm  ) = 0.009

4 0
2 years ago
What is ten times two?
Tanzania [10]
Ten times two is equal to twenty.
8 0
2 years ago
Read 2 more answers
Please help I don’t understand 6 - z+3y+5x^2
ale4655 [162]

Answer:

what is the complete question?

6 0
2 years ago
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base
kirill115 [55]

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

6 0
2 years ago
Other questions:
  • Which numbers are rational?<br> 12<br> 81, 50, -12, 0,<br> 5<br> 6.54
    15·2 answers
  • Difference between 6 and -11
    13·2 answers
  • The sum of 74 and 6 is
    6·1 answer
  • Sally wants to add to her collection of seashells. She currently has 100 seashells.
    11·2 answers
  • Ludovica creates flash cards for her vocabulary words.She creates 3 more cards per noun.
    12·1 answer
  • What is the sum of the equation? 15x-5x+5y+5y
    12·2 answers
  • Please help, its homework not finished
    14·2 answers
  • What is the difference and similarity of finite and infinite set​
    11·1 answer
  • A carpenter lays 18 square feet of tiles in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
    5·1 answer
  • Help, please!!!!!!!!!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!