Henry invested $59,000 in an account paying an interest rate of 2% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 20 years?

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  $87,929.98

Step-by-step explanation:

The future value formula can be used for this:

  FV = P(1 +r/n)^(nt)

where principal P is invested at annual rate r for t years, compounded n times per year. With your numbers, we have ...

  FV = $59,000(1 +.02/4)^(4·20) ≈ $87,929.98

Henry will have $87,929.98 after 20 years.

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

$15 each

step-by-step explanation:

$45/3 children= $15 each