Ralph chase graduated from college with a dept of $20000. He had taken out two different kinds of loans : a government loan at 3.3% APR ( annual percentage rate, or interest after one year) and a private loan at 4.9% APR . If his total interest after one year was $804 , how much money did he borrow from each source ?

Answers

Answer 1
Answer:

Answer:

Ralph borrowed $11,000 from the government source and $9,000 from the private source.

Step-by-step explanation:

Let:

x = government loan

y = private loan

x + y = 20,000 ............................................ (1)

x = 20,000 - y ............................................. (2)

0.033x + 0.049y = 804 ............................ (3)

Substitute equation (2) into (3) for x, we have:

0.033(20,000 - y) + 0.049y = 804

660 - 0.033y + 0.049y = 804

0.016y = 804 - 660

0.016y = 144

y = 144 / 0.016 = $9,000

Substitute $9,000 for y in equation (2), we have:

x = 20,000 - 9,000 = $11,000

Therefore, Ralph borrowed $11,000 from the government source and $9,000 from the private source.


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In a mixed economy, the government is most likely to control the factors of production in which industry?A.The apparel industry
B.The automotive industry
C.The technology industry
D.The health care industry

Answers

In a mixed economy, the government is most likely to control the factors of production in the health care industry option (D) is correct.

What is a mixed economy?

A system that has components of both both capitalism and socialism is called a mixed economy.

A mixed economy is a type of economy in which both the government and private investors or owners are permitted to influence the production-related aspects.

However, the major goal of government ownership in this sort of economy is to prevent market forces or greedy owners from exploiting or taking advantage of the people.

The healthcare industry" is the appropriate response.

This is because it involves sensitive or life-or-death situations, making it preferable for the government to regulate it in a mixed economy than of leaving the populace at the whim of certain avaricious private owners.

Thus, in a mixed economy, the government is most likely to control the factors of production in the health care industry option (D) is correct.

Learn more about the mixed economy here:

brainly.com/question/413094

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Answer:

D X health car Industry

Step-by-step explanation:

a 12 ounce bottle of shampoo lasts erique 16 weeks. how long would you expect an 18 ounce bottle of the same brand to last him.

Answers

First,  divide 18 by 12.  You get 1.5
Now multiply 1.5 by 16.  It equals 24
It would last 24 weeks.

Use rounding or compatible numbers to estimate the difference 762-332

Answers

Answer:

We have to use rounding or compatible numbers to estimate the difference of 762-332

Now rounding here can be done like rounding the tens place or the hundreds place and each will produce different result.

Rounding to tens place :

762=760

332=330

Difference = 760-330=430

Rounding to hundreds place :

762=800

332=300

Difference = 800-300=500

rounded it would be 760-330,and would equel 430,762-332=430.

What is the least number of acute angles that a triangle can have?

Answers


The least amount of acute angles would have to be 2 because if you had 1, the others would have to be acute, otherwise the triangle would not form properly.
The least number of acute angles that a triangle can have is 2.

Find the measure of x in each figure.

Answers

Step-by-step explanation:

Because 2x and 40° are complementary angles.

\therefore \: (2x) \degree + 40 \degree = 90 \degree \n  \n  \therefore \: (2x) \degree  = 90 \degree  - 40 \degree \n  \n \therefore \: (2x) \degree  = 50 \degree  \n  \n \therefore \: 2x  = 50  \n  \n  \therefore \: x  =  (50)/(2)  \n  \n \huge \red{ \boxed{ \therefore \: x  = 25}}

a carpenter has a wooden stick that is 84 centimeters long. she cuts of 25% from the end of the stick. then she cuts the remaining stick into 6 equal pieces. What is the length of each piece?

Answers

so first find 25%
PERCENT means parts out of 100 so
25%=25/100=5/20=1/4
1/4 of 84
'of' means multiply
1/4 tmes 84=84/4=42/2=21/1=21
84-21=63
cuts the remianing into 6
63/6=10 and 3/6=10 and 1/2
each peace is 10 and 1/2 cm long