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
Vladimir79 [104]
3 years ago
9

A credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12% . The collected combined i

nterest was $3,600 that year. How much did the credit union loan out at each rate?
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer: the credit union loaned out $40000 at 6% and $10000 at 12%

Step-by-step explanation:

Let x represent the amount that the

credit union loaned out at the annual rate of 6%.

Let y represent the amount that the

credit union loaned out at the annual rate of 12%.

credit union loaned out $50,000, part at an annual rate of 6% and the rest at an annual rate of 12%. It means that

x + y = 50000

The interest on $x after 1 year would be

6/100 × x = 0.06x

The interest on $y after 1 year would be

12/100 × y = 0.12y

The collected combined interest was $3,600 that year. It means that

0.06x + 0.12y = 3600- - - - - - - - - 1

Substituting x = 50000 - y into equation 1, it becomes

0.06(50000 - y) + 0.12y = 3600

3000 - 0.06y + 0.12y = 3600

- 0.06y + 0.12y = 3600 - 3000

0.06y = 600

y = 600/0.06

y = $10000

x = 50000 - y = 50000 - 10000

x = $40000

You might be interested in
The landscaper pours 200 gallons of herbicide in the pond. If the herbicide degrades 10% each week, how much will be in the pond
777dan777 [17]
I belive at 90% will be left

5 0
3 years ago
Evaluate the algebraic expression -2.3a + 4.6 for the given value 6<br><br> help!??!?!?
Illusion [34]

Answer:

someone please answer

Step-by-step explanation:

I need this too

7 0
3 years ago
What is the area of the regular polygon?
BartSMP [9]

Answer:

You could use the polygon area formula OR here's an easier solution

We draw the lines DC and DE

Angle ADC = 120°

Triangle ADC is a 30 60 90 triangle

In such a triangle Line AE = hypotenuse * sq root (3) /2

Line AE = 3 * 0.8660254038  = 2.5980762114

Line DE = 1.5

Area of Triangle ADE = .5 * 1.5 * 2.5980762114 =

1.9485571586   square meters and entire area of Triangle

ABC = 6 * 1.9485571586

which equals 11.6913429513  square meters

Step-by-step explanation:

6 0
3 years ago
The sum of the measures of the angles is 180. The sum of the measures of the second and third angles is two times the measure of
grigory [225]
<h2>60,47,73</h2>

Step-by-step explanation:

Let the first angle be a degrees

Let the second angle be b degrees

Let the third angle be c degrees

It is given that sum of angles is 180 degrees.

so,a+b+c=180                      ...(i)

It is given that sum of the measures of the second and third angles is two times the measure of the first angle.

b+c=2\times a                     ...(ii)

It is given that the third angle is 26 more than the second.

c=26+b                                ...(iii)

using (ii) and (iii),

b+b+26=2a

b+13=a

using (i),(ii) and (iii),

a+b+c=a+a-13+26+b=a+a-13+26+a-13=3a

3a=180

a=60

b=a-13=60-13=47

c=26+b=26+47=73

3 0
3 years ago
Write a rule describing the results when one multiplies three positive and negative decimals and changes the order of multiplica
anygoal [31]

Answer:

2 positive * 1 negative = negative

2 negative * 1 positive = positive

Step-by-step explanation:


one positive and 2 negative

(+ * -) * - =

positive times negative = negative * negative = positive

(+ * -) * -  = +

now if we change the order by putting parenthesis

+ *( - * -)

negative time negative = positive

+ * (+) = positive

the result is positive


The result does not change because of where we put the parentheses.


- * + * + =

negative  times positive = negative

negative * positive= negative

- * + * + =  negative

The order does not matter

6 0
3 years ago
Other questions:
  • Suppose that m∠MKN = 55°. What is m∠MCN?<br> !please no absurd answers!
    13·2 answers
  • A sea bird is 28 meters above the surface of the ocean.What is its elevation?
    8·1 answer
  • What is an equation of the line that passes through the point
    15·1 answer
  • What is timetablerockstar
    13·2 answers
  • 64 times the power of 10 over four
    14·1 answer
  • Pls help i hate these problems: x-12%=33
    13·2 answers
  • An=3an-1 -6 Where a1=7 Help please!
    12·1 answer
  • What is the domain of this relation? { (2, 4), (5, -3), (4, 8), (-2, 8) }
    11·1 answer
  • Justin was asked to write six different equations based on the triangle below.
    13·1 answer
  • Which of the following terms are possible in the domain of a sequence? Select all that apply.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!