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maw [93]
2 years ago
5

If A varies direct as a square of R. Find the % increase in A if R is increase by 20%.​

Mathematics
1 answer:
katen-ka-za [31]2 years ago
4 0

Answer:

20%

Step-by-step explanation:

A=R^2

120/100

=1.2

1.2R= new value of R

original of R=R

A^1/2=R

change/origionalx100%

(1.2A^1/2-A^1/2)

-------------------- x 100%

A^1/2

A^1/2 (1.2-1)

--------------- x100%

A^1/2

0.2

---- x100

1

0.2x100

=20%

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Answer:

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n=4 because we have a quarterly rate

After replace the values given we got:

A =500 (1+\frac{0.036}{4})^{4*5} = 598.127

If we round this answer to the nearest number we got approximately $598 after 5 years.

Step-by-step explanation:

For this case we can ue the compund interest formula for the future value given by:

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For our case we have:

P =500, r = 0.036, t = 5 , n=4

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After replace the values given we got:

A =500 (1+\frac{0.036}{4})^{4*5} = 598.127

If we round this answer to the nearest number we got approximately $598 after 5 years.

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