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
nlexa [21]
3 years ago
12

Anita's sister had $6000 to invest. She invested part of this sum at 4% and the other part at 6%. If the annual return on the 6%

investment is $15 more than the annual return on the 4% investment, find how much is invested at 6% rate.
Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

2550

Step-by-step explanation:

I'm assuming the interest is annual.

so this is breaking the 6000 into two parts, I am going to call them A and B.  i will say A is invsted at 4% and B is invested at 6%

It then tells us the amount of interest gaied from B is $15 more than the interest gained from A.  We basically use a system of equations.

A + B = 6000

.06B - .04A = 15

Let me know if you don't see how I got these equations.  I will go ahead and solve.

A + B = 6000

Gonna solve for A so I can plug it into the other eqaution and solve for B, which is what the question is asking for.  You can get both either way though.

A = 6000 - B

Plug this into the other equation.

.06B - .04A = 15

.06B - .04(6000 - B) = 15

.06B - 240 + .04B = 15

.1B = 255

B = 2550

this means A is 3450.  You can check by seeing what theinterest is for each.  

2550*.06 = 153

3450*.04 = 138

153 is 15 more than 138 so everything checks out.  

You might be interested in
The coordinates of rhombus ABCD are A(–4, –2), B(–2, 6), C(6, 8), and D(4, 0). What is the area of the rhombus? Round to the nea
a_sh-v [17]
Check the picture below.

so the rhombus has the diagonals of AC and BD, now keeping in mind that the diagonals bisect each, namely they cut each other in two equal halves, let's find the length of each.

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
A(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-2})\qquad 
C(\stackrel{x_2}{6}~,~\stackrel{y_2}{8})\qquad \qquad 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{[6-(-4)]^2+[8-(-2)]^2}\implies AC=\sqrt{(6+4)^2+(8+2)^2}
\\\\\\
AC=\sqrt{10^2+10^2}\implies AC=\sqrt{10^2(2)}\implies \boxed{AC=10\sqrt{2}}\\\\
-------------------------------

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad 
D(\stackrel{x_2}{4}~,~\stackrel{y_2}{0})\qquad \qquad BD=\sqrt{[4-(-2)]^2+[0-6]^2}
\\\\\\
BD=\sqrt{(4+2)^2+(-6)^2}\implies BD=\sqrt{6^2+6^2}
\\\\\\
BD=\sqrt{6^2(2)}\implies \boxed{BD=6\sqrt{2}}

that simply means that each triangle has a side that is half of 10√2 and another side that's half of 6√2.

namely, each triangle has a "base" of 3√2, and a "height" of 5√2, keeping in mind that all triangles are congruent, then their area is,

\bf \stackrel{\textit{area of the four congruent triangles}}{4\left[ \cfrac{1}{2}(3\sqrt{2})(5\sqrt{2}) \right]\implies 4\left[ \cfrac{1}{2}(15\cdot (\sqrt{2})^2) \right]}\implies 4\left[ \cfrac{1}{2}(15\cdot 2) \right]
\\\\\\
4[15]\implies 60

7 0
3 years ago
Read 2 more answers
bryans aquarium is 6 feet long, 4 feet wide and 5 feet high, how many cubic feet of water can the tank hold?
SashulF [63]
6 x 4 x 5 = 120 cubic feet of water
7 0
3 years ago
Mr. Johns has up to 100 ceramic goods including mugs and plates available for his art class to decorate at the end of the year.
MA_775_DIABLO [31]

Answer:

m + p >= 100

m >= 40

p >= 10

Step-by-step explanation:

let m = number of mugs

let p = number of plates

4 0
3 years ago
What is 81 = 3x <br><br> plz help will give phone number and brainlest
Nadya [2.5K]

Answer:

x= 27

Step-by-step explanation:

81=3x

divide by 3

x= 27

7 0
3 years ago
Read 2 more answers
Plzzzzzz help ASAP!!!!!
LiRa [457]
The answer would be A
7 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be
    6·1 answer
  • Find the laplace transform of the given function. (express your answer in terms of s. assume that s &gt; 0.) f(t) = 0, t &lt; 2
    9·1 answer
  • EASY WILL GIVE BRAINLEIST WILL THANK YOU AND FRIEND YOU
    13·1 answer
  • Kim sold 85% of her ornaments during on market day. if she had a total of 120 ornaments at the begining, how many did she sell?
    12·2 answers
  • The measure of minor arc JL is 60°.
    15·2 answers
  • Which fractions have a LCD of 84? A. 3/4, 1/7, 1/6 B. 2/3, 1/6, 1/42 C. 2/27, 1/7, 1/3 D. 2/3, 1/6, 1/7
    11·2 answers
  • What is the GCF of 12 and 48​
    7·2 answers
  • 6. The perimeter of a square room is 48 m, how much square metre carpet required it cover it ?<br>​
    11·2 answers
  • Helpppppp me plzzzzzzzzzz
    6·2 answers
  • A square section of a kitchen floor is made of
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!