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
lakkis [162]
3 years ago
10

If $1200 is deposited in an account that pays 6.5% interest, what is the difference in the amount after 4 years between the amou

nt earned if the principal is compounded annually and the amount earned calculated using simple interest?
Mathematics
2 answers:
rodikova [14]3 years ago
4 0
The interest would be $312
Inessa [10]3 years ago
3 0
Compounded is
A=P(r+1)^t for
P=principal
r=rate
t=time

simplie is
I=PRT
p=principal
r=rate
t=time



comound
P=1200
R=6.5%=0.065
T=4
A=1200(0.065+1)^4
A=1200(1.065)^4
A=1543.76
I=A-P
I=1543.76-1200
I=343.76


simple
P=1200
r=6.5%=0.065
t=4
I=1200*0.065*4
I=312


compare
compouned=343.76
simplie=312
difference=343.76-312=31.76

the difference is $31.76
You might be interested in
Help pls its just math :( <br><br>Ik it sucks I hate math too, pls help tho
Umnica [9.8K]

Answer:

x = - 1

Step-by-step explanation:

Given

- 4(3x - 7) = 40 ( divide both sides by - 4 )

3x - 7 = - 10 ( add 7 to both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

6 0
3 years ago
Read 2 more answers
Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.
lakkis [162]

Answer:

2*sin(x)+y*cos(x)-cos(y)=C_1

Step-by-step explanation:

Let:

P(x,y)=2*cos(x)-y*sin(x)

Q(x,y)=cos(x)+sin(y)

This is an exact differential equation because:

\frac{\partial P(x,y)}{\partial y} =-sin(x)

\frac{\partial Q(x,y)}{\partial x}=-sin(x)

With this in mind let's define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x}=P(x,y)

and

\frac{\partial f(x,y)}{\partial y}=Q(x,y)

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y)

f(x,y)=\int\  2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}

Now, let's replace the previous result into \frac{\partial f(x,y)}{\partial y}=Q(x,y) :

cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)

Solving for \frac{dg(y)}{dy}

\frac{dg(y)}{dy}=sin(y)

Integrating both sides with respect to y:

g(y)=\int\ sin(y)  \, dy =-cos(y)

Replacing this result into f(x,y)

f(x,y)=2*sin(x)+y*cos(x)-cos(y)

Finally the solution is f(x,y)=C1 :

2*sin(x)+y*cos(x)-cos(y)=C_1

7 0
3 years ago
Which conditions will result in the construction of a unique triangle?
Arlecino [84]

Answer:

A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)

Step-by-step explanation:

oof sorry I barely realized that I was supposed to select a number....sorry, but hope this helps :)

3 0
3 years ago
PLS HELP ME HELP PLS THANK YOU
Volgvan

Answer:

1920 cubic centimeters

Step-by-step explanation:

If you recall the formula to find volume, it is V=Bh (Bh stands for area of the base times the height). First, multiply 14, 8, and 10 together, to get 1120, the volume of the first figure. To find the volume of the second figure, do the same: multiply 10, 10, and 8 together to get 800. Finally, add the two volumes together to get the volume of the figure, 1920 cubic centimeters.

8 0
2 years ago
Simplify.<br><br> x8 ÷ x4 · x2
miskamm [114]
<span>x^8 ÷ x^4 · x^2
= </span>x^4 · x^2
= x^6

hope it helps
5 0
3 years ago
Other questions:
  • Factor these expressions: <br> A. 4x+12<br> B. 8r-14<br> C. 5x+35
    14·1 answer
  • Many people now turn to the Internet to get information on health-related topics. A research article used Flesch reading ease sc
    12·1 answer
  • What is the value of p? 4 × 11 × p = 11 × 4 × 5 PLZ
    6·2 answers
  • A total of
    15·2 answers
  • Find the missing length
    13·1 answer
  • Given the equation what would it look lile on a table. ​
    6·1 answer
  • What happened to rectangle A to become rectangle B in the diagram below?
    8·1 answer
  • 3
    8·1 answer
  • For which equations is x = 9 a possible solution? Check all that apply.
    5·1 answer
  • Regression is a statistical technique developed by blaise pascal.<br> a. false.<br> b. true.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!