The amount of money Aria has in the bank after T years is determined by the equation A = 1,000 · 1.0512^T. After how many years will Aria have $2,000 in the bank? (1) 12.9 (2) 13.9
(3) 14.9
(4) 15.9

Step-by-step explanation:

You are given most of the equation that you need to solve. To find the number of years it will take to have 2000, sub in 2000 for A and solve:

and begin by dividing away the 1000 on both sides to get

now we have to take the natural log of both sides:

. Taking the natural log allows us to bring the t down out front:

ln(2) = t ln(1.0512) and now divide both sides by ln(1.0512):

and do this on your calculator to get

t = 13.9 years

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.