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schepotkina [342]
3 years ago
14

Solve for i in the following equation by means of linear interpolation(1 + i)10 – 1= 25​

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

i=1.6

Step-by-step explanation:

The given equation is

(1+i)10-1=25

To solve for i, first, we need to sum 1 unit to each side of the equation.

(1+i)10-1+1=25+1\\(1+i)10=26

Then, we divide the equation by 10

\frac{(1+i)10}{10} =\frac{26}{10} \\1+i=2.6

Finally, we subtract each side with -1

1+i-1=2.6-1\\i=1.6

Therefore, the solution to the given equation is i=1.6

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A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the
babymother [125]
Volume of a cone, V = πr^2h/3

r = Sqrt 3V/πh = Sqrt [(58.9*3)/(3.14*9)] = 2.5 cm, minimum

Surface area, A = πr [r+ Sqrt (h^2+r^2)] =  3.14*2.5*[2.5+ Sqrt (9^2+2.5^2)] = 92.95 cm^2

Therefore, minimum amount of paper required is 92.95 cm^2
4 0
3 years ago
An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a
chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0
3 years ago
how many ways can you order your favorite dessert from a menu of 8? A.) 6 B.) 40,320 C.) 6720 D.) 336​
Radda [10]

Can you tell me what do you mean exactly by menu of 8, so i can help you.

8 0
3 years ago
I NEED HELP URGENTLY
tigry1 [53]

Answer:

30 square millimeters

Step-by-step explanation:

3 x 3 = 9

3 x 1 = 3

there are two sides with the area 9 therefore...

9 x 2 = 18

There are four sides with the area 3 therefore...

3 x 4 = 12

Therefore the suface area is

12 + 18 = 30

5 0
2 years ago
Solve the equation:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%28y%2B2%29%5E%7B2%7D%20%7D%20%3D%20c" id="TexFormula1" titl
r-ruslan [8.4K]

Answer:

Not quite sure what you're meant to solve for, but my solution is below.

Step-by-step explanation:

The square root of a value squared is the absolute value of that value, because squaring removes all negatives. Therefore:

\sqrt{(y+2)^2}=c

\mid y+2\mid=c

\mid y\mid =c-2

Hope this helps!

7 0
3 years ago
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