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ikadub [295]
3 years ago
6

find the total amount in the account to the nearest cent if the interest is compounded annually $2750 at 8% for 2 years

Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

Answer:

$3190

Step-by-step explanation:

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Find the arc length function for the curve with starting point (0,1).<br> y=sin−1x+√1−x2
Ilya [14]

dy/dx = 1/√(1 - x^2) - x/√(1 - x^2) = (1 - x)/√(1 - x^2) 

1 + (dy/dx)^2 = 1 + (1 - x)^2/(1 - x^2) = [(1 - x^2) + (1 - x)^2]/(1 - x^2) = (1 - x^2 + 1 - 2x + x^2)/(1 - x^2) = (2 - 2x)/(1 - x^2) = 2(1 - x)/[(1 + x)(1 - x)] = 2/(1 + x) 

ds = √(1 + (dy/dx)^2 = √(2/(1 + x)) = √2/√(1 + x) dx 

<span>L = √2 ∫ dx/√(1 + x) {0, 1} = √2 ∫ (1 + x)^(-1/2) dx = 2√2 √(1 + x) {0, 1} = 2√2 (√2 - 1) = 4 - 2√2 ≈ 1.1716

The arc length would be </span><span>1.1716 units.</span><span>

I hope my answer has come to your help. Thank you for posting your question here in Brainly.
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8 0
3 years ago
Suppose the length and width of the box in exercise 12 double. Does the surface area S double? Explain
Blizzard [7]
No, it does not.

In general, surface area is the sum of the areas of each face of a prism.  In a rectangular prism, we have length, width, and height.  

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w.  This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h.  This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h.  This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
      = 2(4lw) + 4lh + 4wh
      = 8lw + 4lh + 4wh

If the surface area had been doubled, we would expect 
4lw + 4lh + 4wh

No, it is not doubled.
4 0
3 years ago
Order of operations
lorasvet [3.4K]
PEMDAS

12*(3/4) comes first

8+9=17
7 0
3 years ago
Read 2 more answers
What is the effective interest rate on an account that earns 5.5% compounded monthly?
nataly862011 [7]

Answer:

.46%

Step-by-step explanation:

.055/12= .00458= .46%

4 0
2 years ago
There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled
Anna71 [15]

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

7 0
2 years ago
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