4. Nina deposits $400 in an account that earns 4% interest, compounded annually.

A. What is the initial value of the account?

B. What function represents the balance after t years?

C. What is the value of the account after 5 years? (Use a calculator.)

a. $400

b. f(t) = 400(1.04)^t

c. $486.66¢

Step-by-step explanation:

Please kindly see the attached files for explanation

for b its (t) and c its (d)

step-by-step explanation:

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.