Megan hughes deposits 2100 in an account that pays simple interest. when she withdraws her money 11 months later, she receives $2138.50. what rate of interest did the account pay for?

The rate at which the account pay the deposit is 2 %

Step-by-step explanation:

Given as :

The principal amount deposited in account = $2100

The rate of interest = r % simple interest annually

The time period = 11 months = year

The amount received = $2138.50

Now, From Simple Interest method

Simple Interest =

Or, Interest =

Or, Interest =

Or, Interest = 19.25 r

Now, Interest = Amount - Principal

So, 19.25 r = $2138.50 - $2100

Or, 19.25 r = $38.5

∴ r =

I.e r = 2

So, rate of interest = r = 2 %

Hence The rate at which the account pay the deposit is 2 % Answer

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.