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3 years ago

Write an integer to describe:The stock market increased 75 points

Mathematics

1 answer:

vladimir1956 [14]3 years ago

6 0

The stock market increased 75 point: = +75 or 75

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From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

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3 years ago

Can you help me with number 3? Please!!!!

Fantom [35]

Answer:

Step-by-step explanation:

Take it step by step.

The area of a rectangle is width times length.

We know the length is 7 since it's given, and we can find the width by adding shared sides of the square and triangle.

So the width is 10 + 14 or 24

That means the area of the rectangle is 7 * 24

The area of the second rectangle is 12 * 14, since they are both given.

Finally, the area of the triangle is 1/2 of the base times height and we can find the height by looking at the shared side and using the definition of a rectangle.

So the area of the triangle is 1/2 of 10 * 12.

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3 years ago

Suzanne is looking at taking out a personal loan. Opportunity Loans is offering her $1600 at 3.45% for 1 year, with interest com

AleksAgata [21]

Step-by-step explanation:

So the general formula for compound interest is $A = P(1+\frac{r}{n})^{nt}$ where r is the interest rate, t is the time in years, and n is the amount of compounds per year. So plugging in the values for both equations you'll get

Opportunity Loans:

$A = 1600(1+\frac{0.0345}{12})^{(12)(1)}$

$A = 1600(1.002875)^{12}$

$A \approx 1600(1.035)$

$A = \$1,656.08$

Now to find the interest accrued on this loan you simply subtract 1600 from the A or final amount

$Interest=1656.08-1600\\Interest=56.08$

General Loans:

$A = 1600(1+\frac{0.042}{4})^{(4)(1)}$

$A = 1600(1.0105)^4$

$A \approx 1600(1.042)$

$A = 1,668.27$

To find the interest we do the same thing we did in the previous problem

$interest = 1668.27-1600\\interest=68.27$

Opportunity loans has the least amount of interest after a year

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2 years ago

F(x) = 4x2*<br> How do u graph this

Allushta [10]

Answer:

Step-by-step explanation:

honestly im not really

5 0

3 years ago

What is the measure of angel A rounded to nearest whole number ?

snow_lady [41]

Use inverse cosine here because you have the side adjacent to angle A and the hypotenuse. On your calculator, press the 2nd key then cosine to see this on your display $cos^{-1}$ then enter 8/17 to give you an angle measure of 62 degrees.

4 0

3 years ago

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