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Margarita [4]
3 years ago
6

Choose the correct answer. Find the interest due on $800 at 12% for 120 days. = $

Mathematics
2 answers:
lawyer [7]3 years ago
8 0
I think it is 32.00 dollars for 120 days
<span>I AM NOT SURE</span>
DochEvi [55]3 years ago
3 0

Answer:

$32

Step-by-step explanation:

interest due on $800 at 12% for 120 days.

We use simple interest formula

Simple interest for 365 days formula is

Interest = P * r* \frac{n}{365}

P is the principal amount= 800

r = rate of interest = 12% = 12/100 = 0.12

n = number of days = 120

Plug in all the values in the formula

Interest = 800 * 0.12* \frac{120}{365}

Interest = 31.56164384

Interest = $32

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Sketch the situation if necessary and use related rates to solve. Two airplanes are flying in the air at the same height. Airpla
Alexeev081 [22]

Answer:

  -390 mph

Step-by-step explanation:

Let a and b represent, respectively, the distances of A and B from the airport. The distance d between the planes is then given by the Pythagorean theorem as ...

  d² = a² + b²

Differentiating with respect to time, we have ...

  2d·d' = 2a·a' +2b·b'

Solving for d', we get ...

  d' = (a/d)a' +(b/d)b'

The value of d at the time of interest is ...

  d = √(a² +b²) = √(30² +40²) = √2500 = 50

Then the rate of change of separation is ...

  d' = (30/50)(-250 mph) +(40/50)(-300 mph) = (-150 -240) mph

  d' = -390 mph

The distance between planes is decreasing at 390 miles per hour.

4 0
3 years ago
If y varies directly as x and y = 24 when<br> x= 16, what is y when x = 50?
mars1129 [50]

Answer:

y = 75

Step-by-step explanation:

Given

y\ \alpha\ \ x

y=24; x =16

Required

Find y when x = 50

We have:

y\ \alpha\ \ x

Express as equation

y = kx

Solve for k

k = \frac{y}{x}

When y=24; x =16

k = \frac{24}{16}

k = \frac{3}{2}

When x = 50, we have:

y = kx

y = \frac{3}{2} * 50

y = 75

3 0
3 years ago
Sinθ+cotθ×cosθ=cscθ​
Assoli18 [71]

Answer:

Step-by-step explanation:

\sin \theta+\cot \theta\cos \theta=\sin \theta+\displaystyle \frac{\cos \theta}{\sin \theta}\cos \theta=\frac{\sin^2 \theta+\cos ^2 \theta}{\sin \theta}=\\\frac{1}{\sin \theta}=\csc \theta

5 0
2 years ago
The graph below shows the height of a kicked soccer ball f(x), in feet, depending on the distance from the kicker x, in feet: Pa
Advocard [28]

the complete question in the attached figure

part A

the x intercept 0 is the point where the ball was hit, the x intercept 20 is the point where the ball fell back to the ground, 20 feet away from the kicker.

<span>the function is increasing in the interval x∈(0, 10) and decreasing in x∈(10, 20) </span>
this means that the height is increasing in the interval  (0, 10) and decreasing as x goes through the interval (10,20)
the distance from the kicker is increasing during the whole interval (0, 20)

part B

the rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases or increases in the interval 

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5 0
3 years ago
He following diagram, the ship is anchored to the ocean floor. The length of the rope attaching the
mr_godi [17]

The distance between the boat and the ocean's floor is 19m

<h3>How to get the distance from the ship to the ocean's floor?</h3>

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

4 0
2 years ago
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