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
galina1969 [7]
2 years ago
13

In how many years will $1,000 yield an interest of $6000 at 60% simple interest?

Mathematics
1 answer:
V125BC [204]2 years ago
8 0

Answer:

  10 years

Step-by-step explanation:

The simple interest formula tells you the relationship between interest, principal, interest rate, and time. When the given values are put into the formula, it can be solved for the unknown time.

__

  I = Prt . . . interest earned on principal P at rate r for t years

  6000 = 1000·0.60·t . . . . use the given values for I, P, r

  6000/600 = t = 10 . . . . divide by the coefficient of t

$1000 will yield an interest of $6000 in 10 years.

You might be interested in
Total profit P is the difference between total revenue R and total cost C. Given the following​ total-revenue and​ total-cost fu
gavmur [86]

Answer:

The profit function is:

P(x)=-x^2+1280x-3300

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

R(x)=1300x-x^2

And the cost function is:

C(x)=3300+20x

Then the total profit function will be:

P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

\displaystyle x=-\frac{1280}{2(-1)}=640

And the maximum profit will be:

P(640)=-(640)^2+1280(640)-3300=406300

5 0
3 years ago
Read 2 more answers
The sum of three consecutive integer is -204. what is the largest integer? -63 --44--67 -62
Lisa [10]
-x + -x-1 + -x-2 = -204
-3x=-201
x=-67

-67-68-69=-204

5 0
3 years ago
Find the solution of the following equation whose argument is strictly between 270^\circ270 ∘ 270, degree and 360^\circ360 ∘ 360
Natasha2012 [34]

\rightarrow z^4=-625\\\\\rightarrow z=(-625+0i)^{\frac{1}{4}}\\\\\rightarrow x+iy=(-625+0i)^{\frac{1}{4}}\\\\ x=r \cos A\\\\y=r \sin A\\\\r \cos A=-625\\\\ r \sin A=0\\\\x^2+y^2=625^{2}\\\\r^2=625^{2}\\\\|r|=625\\\\ \tan A=\frac{0}{-625}\\\\ \tan A=0\\\\ A=\pi\\\\\rightarrow z= [625(\cos (2k \pi+pi) +i \sin (2k\pi+ \pi)]^{\frac{1}{4}}\\\\k=0,1,2,3,4,....\\\\\rightarrow z=(625)^{\frac{1}{4}}[\cos \frac{(2k \pi+pi)}{4} +i \sin \frac{(2k\pi+ \pi)}{4}]

\rightarrow z_{0}=(625)^{\frac{1}{4}}[\cos \frac{pi}{4} +i \sin \frac{\pi)}{4}]\\\\\rightarrow z_{1}=(625)^{\frac{1}{4}}[\cos \frac{3\pi}{4} +i \sin \frac{3\pi}{4}]\\\\ \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]\\\\ \rightarrow z_{3}=(625)^{\frac{1}{4}}[\cos \frac{7\pi}{4} +i \sin \frac{7\pi}{4}]

Argument of Complex number

Z=x+iy , is given by

If, x>0, y>0, Angle lies in first Quadrant.

If, x<0, y>0, Angle lies in Second Quadrant.

If, x<0, y<0, Angle lies in third Quadrant.

If, x>0, y<0, Angle lies in fourth Quadrant.

We have to find those roots among four roots whose argument is between 270° and 360°.So, that root is

   \rightarrow z_{2}=(625)^{\frac{1}{4}}[\cos \frac{5\pi}{4} +i \sin \frac{5\pi}{4}]

5 0
3 years ago
-2x-9y=-25 -4x-9y=-23 system with elimination
REY [17]
Multiply the first equation by -2. It turns into 4x+18y=50 and the other one stays -4x-9y=-23. Then you "eliminate" the equations by "adding" them. Set it up like this: 
4x+18y=50
      +
-4x-9y=-23
4x-4x= 0. 18y-9y= 9y and 50-23= 27
SO: 9y= 27 and y= 3
And then you plug that in to one equation: 4x +18(3)= 50. 4x= 50-(18*3)
4x= -4, so x=-1.
Plug it back in to check! 
Hope this helps. Happy solving! :)
4 0
3 years ago
Read 2 more answers
The graph of f(x) is shown. Estimate f(–3).
Aneli [31]

You have to look for -3 on the x axis, and then proceed vertically (in this case upwards) until you meet the graph.

We land about 1/2 square above the 12 mark on the y axis. Since one square is 1/2 unit, a half square would be 1/4 unit.

So, we can estimate f(-3)\approx 12.25

7 0
3 years ago
Other questions:
  • Which function has only one x-intercept at (-6, 0)?
    9·2 answers
  • 297 words in 5.5 minutes ? im confused again
    14·1 answer
  • Which equation produces a line that is perpendicular to the line represented by the function below? y=2/5x+9
    12·1 answer
  • Help please!!
    14·2 answers
  • Which of the following best describes how to find the circumcenter of a triangle?
    9·1 answer
  • Marco would like to hang a banner over his shoe store. He has two ladders and would like to know how high above the ground each
    6·1 answer
  • Help! I don't understand this.
    13·2 answers
  • Please I need help
    14·2 answers
  • If h(x) = 3x + 1 and g(x) = 10 − x2, find h[g(2)<br> Show work please!Thanks!
    12·1 answer
  • PLEASE HELP
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!