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3 years ago

PLEASE LOOK AT ATTACHMENT-25 POINTS

Mathematics

2 answers:

ioda3 years ago

4 0

Answer:

h = 19.36 cm

Step-by-step explanation:

using Pythagorean theorem

20^2-5^2 = h^2

h^2 = 375

h = 19.36 cm

max2010maxim [7]3 years ago

3 0

Answer:

Step-by-step explanation: 10/2 = 5

20^2= x^2 + 5^2

400=x^2+25

x^2=375

x= 19.4

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Sergio [31]

Answer:

The explicit function is:

$S_{n} =Pz^{n-1} +C(\frac{z^{n-1}-1}{z-1} )$

where

$z=(1+\frac{0.02}{12})$

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$S_{12} = $1211.06$

Step-by-step explanation:

Expanding a few steps of the compound interest:

$S_{1}=100\\S_{2}=S_{1}(1+\frac{0.02}{12})+100\\S_{3}=S_{2}(1+\frac{0.02}{12})+100\\...\\S_{n}=S_{n-1}(1+\frac{0.02}{12})+100$

We can write:

$(1+\frac{0.02}{12})=z$

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Then, expanding the previous equations would yield:

$S_{1}=C\\S_{2}=Cz + C\\S_{3}=Cz^{2}+Cz + C\\S_{n}=Cz^{n-1} +...+Cz+C$

This is a geometric series form, which can be simplified to:

$S_{n}=C(\frac{z^{n}-1}{z-1} )$

plugin in the values for the 12 month gives:

$S_{12}=100(\frac{(1+\frac{0.02}{12})^{12} -1}{\frac{0.02}{12}})=1211.0613$

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3 years ago