When Vivian was born, her grandparents decided to help save for her college education. They put $2000 in an account that pays 1.3% annual interest, compounded quarterly. Which equation models the value of the account over time.

P = 2000 * (1.00325)^(t*4)

(With t in years)

Step-by-step explanation:

The formula that can be used to calculated a compounded interest is:

P = Po * (1 + r/n) ^ (t*n)

Where P is the final value after t years, Po is the inicial value (Po = 2000), r is the annual interest (r = 1.3% = 0.013) and n is a value adjusted with the compound rate (in this case, it is compounded quarterly, so n = 4)

Then, we can write the equation:

P = 2000 * (1 + 0.013/4)^(t*4)

P = 2000 * (1.00325)^(t*4)

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.

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step-by-step explanation: