Calculate the future value of $500.20, earning interest at a rate of 3 7/8% that is compounded monthly for 4 years.

$583.92

Step-by-step explanation:

For future value use the formula

where A is future value, P is initial value, n is number of times interest is compounded per year, r is interest rate (as decimal) and t is time (in years).

In your case,

P=$500.20,

r=0.03875 (because 3 7/8%=3.875%),

t=4,

n=12.

Therefore,

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.