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
Tju [1.3M]
3 years ago
6

Newton uses a credit card with a 18.6% APR, compounded monthly, to pay for a cruise totaling $1,920.96. He can pay $720 per mont

h on the card. What will the total cost of this purchase be?
Mathematics
1 answer:
Tresset [83]3 years ago
7 0
<span>To find out how much Newton would pay you take the cruise cost of $1920.96 and divide by $720 to find out it would take 3 months for Newton to pay off the balance at $720 per month. The cost of the cruise would be $1920.96 + ($1920.96-$720)*0.186+ ($1920-$1440)*0.186)</span>
You might be interested in
Which circle has a radius that measures 10 units?
almond37 [142]

Answer:

then the diameter is 20

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I think I know this much so far for A (but I could be wrong):
Eduardwww [97]
Part A. You have the correct first and second derivative.

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

Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.

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

Part C. What this is saying is basically "if we change 'a' and/or 'b', then the extrema will NOT change". So is that the case? Let's find out

To find the relative extrema, aka local extrema, we plug in h ' (x) = 0
h  ' (x) = -10a(-2x+1)^4
0 = -10a(-2x+1)^4
so either
-10a = 0 or (-2x+1)^4 = 0
The first part is all we care about. Solving for 'a' gets us a = 0. 
But there's a problem. It's clearly stated that 'a' is nonzero. So in any other case, the value of 'a' doesn't lead to altering the path in terms of finding the extrema. We'll focus on solving (-2x+1)^4 = 0 for x. Also, the parameter b is nowhere to be found in h ' (x) so that's out as well. 
6 0
3 years ago
What is the value can u show work
Basile [38]
You would put 8 where x is and -10 where y is and then you will do -10 to the second power, which you will get 100 and so you will get 104. The answer is 
D) 104
6 0
3 years ago
PLEASE help with this question
Tema [17]

Answer:

option A

12m/s

Step-by-step explanation:

Given in the question,

mass of object = 11kg

kinetic energy possess by = 792 joules

To find the velocity we use formula

v =  \sqrt{\frac{2KE}{m} }

Plug values in the formula

v = \sqrt{\frac{2(792)}{(11)} }

v = \sqrt{\frac{1584}{11} }

v = \sqrt{144}

v= 12 m/s

3 0
3 years ago
Where should the point P be chosen on line segment AB so as to maximize the angle θ? (Assume a = 4 units, b = 5 units, and c = 9
taurus [48]
From the figure, let the distance of point P from point A on line segment AB be x and let the angle opposite side a be M and the angle opposite side c be N.

Using pythagoras theorem,
\tan M= \frac{a}{b-x} \\ \\ M=\tan^{-1}\left(\frac{a}{b-x}\right)
and
\tan N= \frac{c}{x} \\ \\ N=\tan^{-1}\left(\frac{c}{x}\right)

Angle θ is given by
\theta=180-M-N \\  \\ =180-\tan^{-1}\left(\frac{a}{b-x}\right)-\tan^{-1}\left(\frac{c}{x}\right)

Given that a = 4 units, b = 5 units, and c = 9 units, thus
\theta=180-\tan^{-1}\left(\frac{4}{5-x}\right)-\tan^{-1}\left(\frac{9}{x}\right)

To maximixe angle θ, the differentiation of <span>θ with respect to x must be equal to zero.
i.e.
\frac{d\theta}{dx} = -\frac{4}{x^2-10x+41} + \frac{9}{x^2+81} =0 \\  \\ -4(x^2+81)+9(x^2-10x+41)=0 \\  \\ -4x^2-324+9x^2-90x+369=0 \\  \\ 5x^2-90x+45=0 \\  \\ x^2-18x+9=0 \\  \\ x=9\pm6 \sqrt{2}

Given that x is a point on line segment AB, this means that x is a positive number less than 5.

Thus
x=9-6 \sqrt{2}=0.5147

Therefore, The distance from A of point P, so that </span>angle θ is maximum is 0.51 to two decimal places.
6 0
3 years ago
Other questions:
  • What four factors were used to create this product game board 9,15,18,21,30,35,36,42,49
    5·2 answers
  • 12% As a fraction and a decimal
    10·2 answers
  • The distributive property combines blank and blank to make multiplying whole numbers simpler.
    7·1 answer
  • A single-serve coffee maker cost $70 plus $0.20 for the coffee for each serving what is the equation
    14·2 answers
  • Identify the corresponding word problem given the equation: x = 4 × 9
    6·1 answer
  • one day you ride 2x + 5 km on your bicycle the next day you rides 3x kilometers is it possible that you rode the same distance e
    7·2 answers
  • Write an equation of the line that passes through (0,-5) and (-5,-5)
    8·1 answer
  • Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change. (not all of
    14·1 answer
  • Please please help i need to find the area
    5·1 answer
  • 1)<br> 12 yd<br> 15 yd<br> 10 yd
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!