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3 years ago

What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is r = 2.86 plus or minus .09 m?

1 answer:

3 0

The volume of a sphere is calculated through the equation,

V = 4πr³ /3
where r is the radius of the given.

If the radius is 2.86, we can substitute the value to the equation above such that,
V = 4π(2.86)³ / 3 = 97.99π m³

When the radius is 0.09 m plus the given radius then,
V = 4π(2.86 - 0.09)³ / 3 = 89.03π m³

The difference between the volumes is equal to,
difference = 97.99π - 89.03π m³ = 8.96π m³

Dividing this to the original volume and multiplying by 100%,
percentage = (8.96π/97.99π) x 100%
percentage = 9.14%.

Hence, the expected percent uncertainty is equal to 9.14%.

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An investor plans to invest $500 a year and expects to get a 10.5% return. If the investor makes these contributions at the end

taurus [48]

The present value of the investment is $6000.

According to the statement

Principal amount = $500

and Return amount = 10.5%

Time period = 20 years.

Now we find the present value of money then

By the formula

PV = P[1-(1+r)^n]/r

PV = 500[1-(1+0.10)^20]/0.10

PV = 6000

So, The present value of the investment is $6000.

Learn more about Return Amount here brainly.com/question/2456547

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4 0

2 years ago

11. Write the balanced equation for the reaction of HC2H3O2, with Al(OH)3 to form H2O and Al(C2H302)3:

Kamila [148]

Answer:

74.36 g of aluminium acetate.

730.27g of aluminium acetate.

- to the nearest hundredth.

Step-by-step explanation:

Acetic acid is usually written as CH3COOH.

a. 6CH3COOH + Al(OH)3 ---> Al(CH3COO)3 + 9H2O

So 6 moles of acetic acid produce 1 mole of aluminium acetate.

Using the molecular masses

6*( 1.008*4 + 12.011*2 + 16 *2) g acetic acid gives (26.98+3(36.032+ 2*12.011)

348.228 g acetic acid gives 207.142 g Al acetate.

So 125 g gives (207.142 / 348.228) * 125

= 74.36 g of aluminium acetate.

(26.98 + 3*16 + 3 * 1.008) g of Al(OH)3 gives 207.142 g Al acetate

78.004 g gives 207.142 g Al acetate

275 g gives (207.142 / 78.004) * 275

= 730.27g Al acetate.

7 0

3 years ago

Pls help me with this problem

Luden [163]

Answer:

A is going to be 2.80

B is going to be 0.7

C points (1,0.70)

D he is buying four pounds of flour because you always put the x at the bottom and y at the top

E it will be 6.3

Step-by-step explanation:

Hope this Helped

4 0

3 years ago

Read 2 more answers

Dolores bought 3 tapes that cost $4.95 each. the tax on her purchase was %6. What was her total bill

SpyIntel [72]

Answer:15.741

Step-by-step explanation: 4.95*3= 14.85, 14.85* 0.06= 0.891+14.85=15.741

Hope it helped!

7 0

4 years ago

Plss help, ill give brainiest

White raven [17]

Answer:

Step-by-step explanation:

Cylinder volume= V = π r ^2 h

So you times Pie by the radius (diametre divided by two- 3.5) you then square this. After that, times it by the height (10)

So the volume is 384.85.

You then find 30% of this, so times 384.85 by 30%.

You then get an answer of 115.455, and this is equal to A.

I hope this helps, have a lovely day.

5 0

2 years ago