You have money in an account at 6% interest, compounded monthly. To the nearest year, how long
will it take for your money to double.

Step-by-step explanation:

Let amount now be x , meaning principal is x

and the amount later A is 2x

A = P(1+r/n)^nt

n = 12

2x = x (1 + 0.06/12)^12t

divide through by x

2 = (1+ 0.005)^12t

2 = (1.005)^12t

Take log of both sides

log 2 = 12t log 1.005

12t = log2/log 1.005

12t = 138.975721610697

t = 138.975721610697/12

t = 11.58

t = 12 years

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

a) 32pie square meters

step-by-step explanation: