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Gelneren [198K]
3 years ago
13

$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If t

he total interest at the end of 1 year was $1750, how much money was borrowed from each source?
Mathematics
1 answer:
guajiro [1.7K]3 years ago
5 0

9514 1404 393

Answer:

  • $9,000 at 15%
  • $4,000 at 10%

Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

  0.15(x) + 0.10(13000 -x) = 1750

  0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300

  x = 450(20) = 9000 . . . . . . . . . . multiply by 20

$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

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two airplanes are flying in the air at the same height: airplane a is flying east at $$ mi/h and airplane b is flying north at $
olga55 [171]

The distance between the airplanes changing is  -390.

<h3>Calculation:</h3>

The miles from the airport to Airplane A can be calculated as follows: a = 30 -250t, where t is in hours.

<h3>Similar to airplane A, airplane B's distance from the airport can be expressed as...</h3>

b = 40 -300t

Using the Pythagorean theorem, one can calculate the separation (d) between the aircraft:

d^2 = a^2 + b^2

<h3>Depending on the passage of time, we have...</h3>

2dd' = 2aa' + 2bb', and d' = (aa' + bb')/d.

<h3>The values of its variables at t=0 must be determined in order to determine the numerical value of this</h3>

a = 30 -2500 = 30 a' = -250 b = 40 -3000 = 40 b' = -300

d = √(a²+b²) = √(900+1600) = 50

Then, d' = (30(-250) +40(-300))/50 = -19500/50 = -390

At a speed of 390 miles per hour, the space between the aircraft is closing.

<h3>How far apart are the equation's two planes?</h3>

The distance between the two planes is going to be the square root of six, therefore if we solve for d, multiply both sides of this equation by the square root of six, we obtain six is equal to negative d, or d is equal to negative six.

<h3>How widely apart are commercial airplanes?</h3>

For a commercial airliner, separation will typically be at least 3 miles laterally or 1,000 feet vertically (as stated in the question). The 5 mile rule is applied laterally in the enroute environment, at greater operating speeds over 10,000 feet, depending on the kind of radar and distance from the antennae.

To know more about Distance visit:-

brainly.com/question/15172156

#SPJ4

4 0
1 year ago
Plz help me, just answer the pic
Jobisdone [24]

Answer:

2.25

Step-by-step explanation:

area= length*width

length= 1.5

width= 1.5

1.5*1.5= 2.25

So, the answer is 2.25

3 0
2 years ago
Read 2 more answers
H = -16t2 + 64t + 80 Determine the maximum height of the rocket. Show your work.
Lesechka [4]
H = -16t² + 64t + 80 (:16)
H = -t² + 4t + 5
/\ = b²-4ac
/\ = 4²-4.(-1).5
/\ = 16+20
/\ = 36
Yv = -/\ / 4a
Yv = -36/4.(-1)
Yv = -36/-4
Yv = 9
3 0
3 years ago
One more guys, can you guys help me?
VikaD [51]

Answer:

A

Step-by-step explanation:

X is less than -7 because the open circle indicates that x is not -7

6 0
3 years ago
Every small business must register with the secretary of state in their home state,
lawyer [7]
True is the answer ....
4 0
3 years ago
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