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
Sophie [7]
3 years ago
5

Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of

20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true?
a.
Fran will meet her goal working 15 hours per week.
b.
Fran must work 17 hours per week to meet her goal.
c.
Fran must work 18 hours per week to meet her goal.
d.
Fran will not be able to reach her goal.
Mathematics
1 answer:
Helen [10]3 years ago
6 0
Fran will have a base amount of $800 saved at the end of the 20 weeks assuming she continues to get at least 15 hours and her expenses don't increase (40x20 =800). At a net pay rate of $15 per hour (225/15=15), she will need to work an additional two hours per week for a total of 17 hours to earn the $600 needed to meet her goal. [15x2= 30, 30x20=600]
You might be interested in
Solve <br>In 2x + In 2=0​
irakobra [83]

Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Step-by-step explanation:

We need to solve: ln(2x)+ln(2)=0

Solving:

ln(2x)+ln(2)=0

Adding -ln(2) on both sides:

ln(2x)+ln(2)-ln(2)=0-ln(2)

ln(2x)=-ln(2)

Using logarithmic rule: if log_a b =c\,\,then\,\, b=a^c

So,

2x=e^{-ln(2)}

Simplifying:

2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}

So, Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Keywords: Logarithms

Learn more about Logarithms at:

  • brainly.com/question/11921476
  • brainly.com/question/10633485
  • brainly.com/question/5758530

#learnwithBrainly

4 0
4 years ago
Helppp algebra!!!!!!!20 points!!!!!!!
gladu [14]

Answer:

B

Step-by-step explanation:

it's more like 10 points

4 0
3 years ago
Read 2 more answers
Slope=9/4, y intercept = -4
Tju [1.3M]
Assuming if you are looking for an equation
I can say that the X-intercept= 16/9
but with an equation it would be 9x/4(-4)
7 0
3 years ago
Read 2 more answers
How to do this problem. I need help <br> How to solve the e
Radda [10]
The answer is  6*2-6. I hope this helps u

5 0
3 years ago
An oil refinery is located on the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the ref
hichkok12 [17]

Answer:

P is exactly 3km east from the oil refinery.

Step-by-step explanation:

Let's d be the distance in km from the oil refinery to point P. So the horizontal distance from P to the storage is 3 - d and the vertical distance is 2. Hence the diagonal distance is:

\sqrt{(3 - d)^2 + 2^2} = \sqrt{(3 - d)^2 + 4}

So the cost of laying pipe under water with this distance is

800000\sqrt{(3 - d)^2 + 4}

And the cost of laying pipe over land from the refinery to point P is 400000d. Hence the total cost:

800000\sqrt{(3 - d)^2 + 4} + 400000d

We can find the minimum value of this by taking the 1st derivative and set it to 0

800000\frac{2*0.5*(3-d)(-1)}{\sqrt{(3 - d)^2 + 4}} + 400000 = 0

We can move the first term over to the right hand side and divide both sides by 400000

1 = 2\frac{3 - d}{\sqrt{(3 - d)^2 + 4}}

\sqrt{(3 - d)^2 + 4} = 6 - 2d

From here we can square up both sides

(3 - d)^2 + 4 = (6 - 2d)^2

9 - 6d + d^2 + 4 = 36 - 24d + 4d^2

3d^2-18d+27 = 0

d^2 - 6d + 9 = 0

(d - 3)^2 = 0

d -3 = 0

d = 3

So the cost of pipeline is minimum when P is exactly 3km east from the oil refinery.

3 0
3 years ago
Other questions:
  • 10 POINTS. NEED THIS ASAP!!
    10·2 answers
  • Given the following matrices, find 3A - 2B. (Hint: find 3A and 2B first and then subtract.)
    7·1 answer
  • Need emergency help!!
    5·1 answer
  • A motorcycle listed for 975$si sold for 820$ .what is the rate of discount that was allowed?​
    10·1 answer
  • What does the term "corresponding parts" mean?
    9·2 answers
  • (x+7)(x-6) Find the product.ddddddddddddd
    14·2 answers
  • Could someone explain this?
    6·1 answer
  • Answer questions 15 and 16.
    13·1 answer
  • Planes A and B are shown.
    14·1 answer
  • 8 kilómetros a metros
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!