Please help with this Inequality Sentence!!!!!!

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

Natasha_Volkova [10]

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

5 0

3 years ago

The lines below are perpendicular if the slope of the solid line is 4 what is the slope of the dashed line

const2013 [10]

Answer:

The slope of the dashed line is $-\frac{1}{4}$

Step-by-step explanation:

Perpendicular lines and slopes:

If two lines are perpendicular, the multiplication of their slopes is -1.

What is the slope of the dashed line

Perpendicular to a line with slope 4, so:

$4m = -1$

$m = -\frac{1}{4}$

The slope of the dashed line is $-\frac{1}{4}$

8 0

3 years ago

What are two other ways to name plane V?

astraxan [27]

Two other ways to name plane V are

plane ANCRMX

plane XMRCNA

5 0

3 years ago

Read 2 more answers

43<br> Pwiehejejekkalwkfhd

ehidna [41]

Answer:

137°

Step-by-step explanation:

If we know that a set of angles form one of these special relationships, we can determine the measure of the other angle. To determine the supplement, subtract the given angle from 180. 180 - 43 = 137° The supplement of 43° is 137°.

8 0

3 years ago

The mean value of 500 homes in a county is $225,000 and the standard deviation is $25,000. approximately how many of the homes i

dusya [7]

240 homes in the county are between $175,000 and $225,000.

The image attached is associated with this question and m in it refers to the mean value which is $225000 here and d refers to the standard deviation which is $25000 here.

Now since m= $225000

and $175000= $225000-$50000= $225000-(2* $25000)= m-2d

Thus, as per the image area covered between m and m-2d= $225000

and $175000 is (34%+14%)of 500 homes= 68% of 500= 240 homes, is the answer.

A random variable X is said to follow a normal distribution if its parameters are mean and standard deviation. Every other distribution can be reduced to a normal distribution.

Learn to know more about normal distributions on brainly.com/question/4079902

#SPJ4

3 0

2 years ago