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kakasveta [241]
3 years ago
14

Dr. Clarence invested $5000 in an account that draws 3.2% interest, compounded annually. What is the total value of the account

after 5 years?
Can you please clarify how you get your answer because I solved this to my notes and it said it was wrong.
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0
It's simple, you just have to times everything. 5000 x 3.2% x 5 years. After calculating these, 3.2 is as 0.032 so there would be three decimal places. So then it will e 5000 x 0.032 x 5
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A string passing over a smooth pulley carries a stone at one end. While its other end is attached to a vibrating tuning fork and
nasty-shy [4]

Answer:

correct option is C)  2.8

Step-by-step explanation:

given data

string vibrates form =  8 loops

in water loop formed =  10 loops

solution

we consider  mass of stone = m

string length = l

frequency of tuning = f

volume = v

density of stone = \rho

case (1)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

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and

case (2)  

when 8 loop form with 2 adjacent node is \frac{\lambda }{2}

l = \frac{10 \lambda _1}{2}      ..............4

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T = v × \rho - v × \rho × g    

from equation 2

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\sqrt{\frac{v\rho _{stone} g - v\rho _{water} g}{\mu}} = f \times \frac{1}{5}     .......................5

now we divide eq 5 by the eq 3

\sqrt{\frac{vg (\rho _{stone} - \rho _{water})}{\mu vg \times \rho _{stone}}} = \frac{fl}{5} \times \frac{4}{fl}

solve irt we get

1 - \frac{\rho _{stone}}{\rho _{water}}  = \frac{16}{25}

so

relative density \frac{\rho _{stone}}{\rho _{water}} = \frac{25}{9}

relative density = 2.78 ≈ 2.8

so correct option is C)  2.8

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