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
zmey [24]
3 years ago
10

Juan had $24400 and chose to split the money into two different mutual funds. During the first year, Fund A earned 4% interest a

nd Fund B earned 6% interest. If he received a total of $1166 in interest, how much had he invested into each account?
Mathematics
1 answer:
Sidana [21]3 years ago
5 0

Answer: Juan invested $14,900  in Fund A and $9,500 in Fund B.

Step-by-step explanation:

Let x= Amount invested in Fund A .

Since , total amount invested = $24400

Then,  Amount invested in Fund B = 24400-x

Fund A earned 4% interest and Fund B earned 6% interest.

Interest earned by Fund A= 4% of x = 0.04 x

Interest earned by Fund B= 6% of x = 0.06 ( 24400-x)

= 0.06(24400)-0.06x

= 1464-0.06x

Total interest = 0.04x+1464-0.06x= 1464-0.02x

If he received a total of $1166 in interest, then

1464-0.02x =1166\\\\\Rightarrow\ 0.02x=1464-1166\\\\\Rightarrow\ 0.02x=298\\\\\Rightarrow\ x=\dfrac{298}{0.02}=14900

So, Amount invested in Fund A = $14900

Amount invested in Fund B = $( 24400-14900  ) = $9500

Hence, Juan invested $14,900  in Fund A and $9,500 in Fund B.

You might be interested in
The measure of angle 6 is 98°. What is the measure of angle 7?
otez555 [7]
Dude, it's impossible to solve without the pic
3 0
3 years ago
Read 2 more answers
Hi, can someone please answer this questions, THANKS
aliya0001 [1]

Answer:

supplementary angles add up to 180 degrees and complementary add up to 90 degrees

Step-by-step explanation:

3 0
3 years ago
What is the difference in size between 1 1/2 and 1/ 4
Nimfa-mama [501]
1 1/2 - 1/4=? 

1 1×2       2
  __    =   __
    2×2      4
-   1
    __
     4
_____
1  1
    __
      4

1 1/4 is the answer.
4 0
3 years ago
Calculate the slope through the points (2, 3) and (2,-6) The slope = _​
MaRussiya [10]

Answer:

m = undef

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 3)

Point (2, -6)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute [SF]:                    m=\frac{-6-3}{2-2}
  2. Subtract:                              m=\frac{-9}{0}
  3. Define:                                 m = undef
5 0
3 years ago
If f(x)=ax+b/x and f(1)=1 and f(2)=5, what is the value of A and B?
LUCKY_DIMON [66]

Answer:

\huge\boxed{a=9 ; b = -8}

Step-by-step explanation:

f(x) = \frac{ax+b}{x}

Putting x = 1

=> f(1) = \frac{a(1)+b}{1}

Given that f(1) = 1

=> 1 = a + b

=> a+b = 1  -------------------(1)

Now,

Putting x = 2

=> f(2) = \frac{a(2)+b}{2}

Given that f(2) = 5

=> 5 = \frac{2a+b}{2}

=> 2a+b = 5*2

=> 2a+b = 10  ----------------(2)

Subtracting (2) from (1)

a+b-(2a+b) = 1-10\\a+b-2a-b = -9\\a-2a = -9\\-a = -9\\a = 9

For b , Put a = 9 in equation (1)

9+b = 1\\Subtracting \ both \ sides \ by \ 9\\b = 1-9\\b = -8

5 0
3 years ago
Other questions:
  • The graph of F(x), shown below, has the same shape as the graph of G(x)=x^4 but it is shifted 4 units to the left. What is the e
    12·2 answers
  • Find the next terms in the sequence -2,1,10,25,46, , …
    5·1 answer
  • a country's population in 1992 was 169 million in 1999 it was 174 million estimate the population in 2010 using the exponential
    11·1 answer
  • -2.5 + (-3.5)<br> Which number line shows the sum?
    9·2 answers
  • Solve the inequality. Graph and check the solution. 28 &gt; 8m - 4​
    14·2 answers
  • If the correlation coefficient in an ordinary least squares regression = 1.00, then A. all the data points must fall exactly on
    7·1 answer
  • Plz help me I’m really confused!
    14·2 answers
  • Choose the correct description of the graph of the compound inequality:
    6·1 answer
  • A ______ is a deduction from the original price of an item.
    6·2 answers
  • A rectangle has a width that measures 11 in. and a length that measures 5.5 in.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!