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3 years ago

Please help this is due today at 2pm Thanks!

Mathematics

1 answer:

Alja [10]3 years ago

7 0

The formula for simple interest is:

A = P(1+rt)

Where P = amount borrowed

r = interest rate

t = time of loan

A = 5000(1 + 0.125*2)

A =6,250

The total amount she paid back was $6,250

For her monthly payment divide total paid back by 24 months ( 2 years = 24 months)

6250 / 24 = 260.42

Her monthly payment was $260.42

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(X^2+6)(4x-3) how to solve this

In-s [12.5K]

(X^2+6)(4x-3)
=(x2+6)(4x+−3)=(x2)(4x)+(x2)(−3)+(6)(4x)+(6)(−3)
4x3−3x2+24x−18 is the answer

4 0

3 years ago

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Solve: simultaneous equations 3x + 4y = 27 x + 4y = 17

Leni [432]

Answer:

x = 5, y = 3

Step-by-step explanation:

Elimination method: (I will be eliminating 4y)

3x + 4y = 27 --- Equation 1

x + 4y = 17 --- Equation 2

Equation 1-2: 3x + 4y - x - 4y = 27 - 17

2x = 10

x = 10 ÷ 2

x = 5

Substitute x = 5 into Equation 2:

x + 4y = 17

4y + 5 = 17

4y = 17 - 5

= 12

y = 12 ÷ 4

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4 0

3 years ago

David and Lacey are 2000 feet apart on a coastline. They each look at the same boat in the water. The angle between the coastlin

Ulleksa [173]

By using the given distances and directions, we have;

Part A: 1083.5 feet

Part B: 1921.37 feet

Part C: 58.05°

<h3>How can the distances and directions be calculated?</h3>

The distance between David and Lacey = 2000 feet

David's angle to the boat = 70°

Lacey's angle to the boat = 32°

Part A

The distance of the boat from David is found as follows;

Imaginary lines drawn from the boat to David and then to Lacey form a triangle.

In the triangle, let A = 70°

B = 32°

Therefore by the sum of angles in a triangle, we have;

C = 180° - (70° + 32°) = 78°

By using sine rule we have;

$\frac{a}{sin(A)} = \frac{b}{sin( B )} = \frac{c}{sin(C)}$

David's distance from the boat, b, is therefore;

$\frac{b}{sin( 32 )} = \frac{2000}{sin(78)}$

The angle subtended by the coastline, C, is therefore;

$b = \frac{2000}{sin(78)} \times sin( 32 ) = 1083.5$

David's distance from the boat is 1083.5 feet

Part B

The distance between the boat and Lacey is found as follows;

$\mathbf{ \frac{a}{sin( 70)} }= \frac{2000}{sin(78)}$

$a = \frac{2000}{sin(78)} \times sin( 70 ) = 1921.37$

Lacey's distance from the boat is 1921.37 feet

Part C

When b = 1200 feet, we have;

Finding the vertical distance of the boat from the coastline, we have;

1083.5 × sin(70) = 1018.17

We have;

$\frac{1200}{sin(90)} = \frac{1018.17}{sin( B' )}$

${sin( B' )} = \frac{sin(90)}{1200} \times 1018.17$

The angle between the coastline and his view to the boat, B', is therefore;

B' = arcsine (1018.17÷1200) = 58.05°

Learn more about sine rule here:

brainly.com/question/4372174

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2 years ago

What is 13 over 26 equal to?

worty [1.4K]

Answer = 0.5
hope this helps

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3 years ago

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An angle bisector is a ray starting at the vertex of an angle and divides the angle into two obtuse angles

AVprozaik [17]

False. An angle bisector is a bisector starting at the vertex and cutting an angle in half. It could be obtuse angles, but not always. It is usually two smaller angles. It is a ray, though.

I hope this helps!
~kaikers

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3 years ago