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 product of -6 and a number<br> increased by 2 is -40. Find the number.
Elan Coil [88]
The answer is -8 I know this as well as
4 0
3 years ago
Find slope of the graph 9x-3y=15
LekaFEV [45]
<h3><u>Explanation</u></h3>
  • Convert the equation into slope-intercept form.

y = mx + b

where m = slope and b = y-intercept.

What we have to do is to make the y-term as the subject of equation.

9x - 3y = 15 \\ 9x - 15 = 3y \\  \frac{9x - 15}{3}  = y

  • Simplify

\frac{9x}{3}  -  \frac{15}{3}  = y \\ 3x - 5 = y  \\ y = 3x - 5

From y = mx+b, the slope is 3.

<h3><u>Answer</u></h3>

\large \boxed {slope = 3}

4 0
3 years ago
Which addition does this model represent.​
Elina [12.6K]
It represents the first one 3+(-1)
5 0
2 years ago
What will be the next in the series 2,60,10,120,30,?
grandymaker [24]
2 to 60 is 58 -48 is 10 
so you have think what sort of maths skills are used like it could n+58 -48 then square or something ,but check what the differences are between the numbers.
hope it helped.
8 0
3 years ago
What is the volume of a regular pyramid having a base area of 24 inches and height of 6 inches
Anestetic [448]

Answer:

V= 48 in^2

Step-by-step explanation:

Formula

Since the base has a known area, we do not need the full volume formula. This formula is

<em>V = B * h / 3</em>

B is the area of the base and h is the height measured from the top of the pyramid to the base meeting the base at right angles.

Givens

B = 24 in^2

h = 6 in

Solution

V = B * h / 3

V = 24 * 6/3

V= 48 in^2

6 0
1 year ago
Read 2 more answers
Other questions:
  • What is the lateral surface area of a cube with side length of 9 cm
    11·1 answer
  • How do you use the pythagoreum theorum again? i know the formula is a^2+b^2=c^2 but how do you use it. Use the example 15^2+20^2
    10·2 answers
  • Solve each of the following quadratic equations (x+7)(x+1)=0
    7·1 answer
  • If an image is translated (x-3, y+2),
    14·1 answer
  • In a school there are 600 teachers ad 1200 students
    8·1 answer
  • What is the ratio of 24
    10·1 answer
  • I paid $7.47 for 3 pounds of grapes. What is the cost of the grapes as a unit rate?
    15·2 answers
  • Which relations are functions?
    8·1 answer
  • Help me work this out please
    13·1 answer
  • A book is 3.5 cm thick and each cover is 1.8 mm thick . how thick is the book without its covers​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!