Geoffery went on a trip across south america. he took 1,750 us dollars (usd) with him. in chile, he traded his money for chilean pesos (clp) at a rate of usd: clp = 1: 496.5000. he spent 217,513 pesos before he went to venezuela. in venezuela, he traded his chilean pesos for venezuelan bolivars (vef) at a rate of clp: vef = 1: 0.1283. during his time in venezuela, he spent 38,422.19 bolivars. at his next stop, paraguay, he traded his venezuelan bolivars for paraguayan guarani (pyg) at a rate of vef: pyg = 1: 1063.9500. he spent 12,857,441.39 guarani before returning to the united states, where he traded his paraguayan guarani for us dollars at a rate of pyg: usd = 1: 0.2186. how much money did geoffery have remaining, in us dollars? round all currency values to two decimal places.

$768.98

Step-by-step explanation:

Converting $1750 USD to Chilean pesos, we have

1750(496.5) = 868,875 CLP.

Spending 217,513 pesos gives us

868,875 - 217,513 = 651,362

Converting CLP to VEF, we have

651362*0.1283 = 83569.74

Spending 38,422.19 bolivars leaves us with

83,569.74 - 38,422.19 = 45,147.55

Converting VEF to PYG, we have

45147.55(1063.95) = 48,034,735.82

Spending 12,857,441.39 guarani leaves us with

48,034,735.82-12,857,441.39 = 35,177,294.43

Converting these PYG back to USD gives us

35,177,294.43(0.00002186) = 768.98

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.