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pantera1 [17]
3 years ago
14

9.

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0
To solve this we are going to use the formula for compounded interest: A=P(1+ \frac{r}{n})^{nt}
where 
A is the final amount after t years 
P is the initial amount 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
t is the time in years 

We know for our problem that P=1380, r= \frac{5}{100} =0.05, and t=3. Since the interest is compounded daily, it is compounded 365 times in year; therefore, n=365. Lets replace those values in our formula to find A:
A=P(1+ \frac{r}{n})^{nt}
A=1380(1+ \frac{0.05}{365})^{(365)(3)}
A=1603.31

We can conclude the amount in Diane's after 3 years will be <span>$1,603.31</span>
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HELP !!! | 20 Points.
RUDIKE [14]

Answer:

No. The ladder is too steep.

Step-by-step explanation:

Length of ladder = 17 feet.  This is the hypotenuse.

Side a of a right triangle = 16.6

To answer this, you need one of the trigonometric functions.  

Opposite = 16.5

hypotenuse = 17

The function you need is the sine function.

Sin(theta) = opposite / hypotenuse

sin(theta) = 16.5 / 17

Sin(theta) = 0.97059

theta = sin-1(0.07059)

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No the ladder is too steep.

5 0
3 years ago
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Roman55 [17]

Answer:

23

Step-by-step explanation:

51+(2x+3)=100

54+2x=100

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2x=46

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4 0
3 years ago
The graph shows a trigonometric function.
Gennadij [26K]
Check the picture below.

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3 0
3 years ago
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Convert the following sum into a product. cosx + cos3x + cos5x + cos7x
kvv77 [185]

Answer:

4\cos x\cos (4x)\cos (2x)

Step-by-step explanation:

Given: cosx + cos3x + cos5x + cos7x

To convert: the given sum into product

Solution:

Use formula: \cos A+\cos B=2\cos \left ( \frac{A+B}{2} \right )\cos \left ( \frac{A-B}{2} \right )

cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos (2x)\cos (-x)+2\cos (6x)\cos (-x)\\=2\cos (2x)\cos (x)+2\cos (6x)\cos (x)\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]

cosx + cos3x + cos5x + cos7x=2\cos \left ( \frac{x+3x}{2} \right )\cos \left ( \frac{x-3x}{2} \right )+2\cos \left ( \frac{5x+7x}{2} \right )\cos \left ( \frac{5x-7x}{2} \right )\\=2\cos x\left [ \cos (2x)+\cos (6x) \right ]\\=2\cos x\left [2 \cos \left ( \frac{2x+6x}{2} \right )\cos \left ( \frac{2x-6x}{2} \right ) \right ]\\=2\cos x\left [ 2\cos (4x) \cos (-2x) \right ]\\=4\cos x\cos (4x)\cos (2x)

4 0
3 years ago
a section in a stained glass window is shaped like a trapezoid. The top base is 4 centimeters and the bottom base is 2.5 centime
dem82 [27]
Hello, so the equation for the area of a trapezoid is                                      A = (a+b)*(h/2)             

In which, a is one of the bases, b is the other base, and h is the height. A is the Area. If you wanna solve for height, rearrange the equation to what h equals.

First divide (a+b) from both sides
A/(a+b) = h/2 

Now multiply 2 on both sides

2(A/(a+b)) = h

Now you have it rearranged equal to just h. Plug in the values now.

2(3.9/(4+2.5)) = h

2(3.9/(6.5)) = h

2(.6) = h

1.2 = h

The section is 1.2 centimeters tall.
5 0
3 years ago
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